%!PS-Adobe-3.0 %%Title: (Microsoft Word - COBS) %%Creator: (Microsoft Word: PSPrinter 8.3.1) %%CreationDate: (1:25 PM Thursday, July 3, 1997) %%For: (Stuart Cheshire) %%Pages: 12 %%DocumentFonts: Helvetica Palatino-Roman Palatino-Italic Palatino-Bold Courier Times-Roman Times-Italic Symbol %%DocumentNeededFonts: Helvetica Courier Times-Roman Times-Italic Symbol %%DocumentSuppliedFonts: Palatino-Roman Palatino-Italic Palatino-Bold %%DocumentData: Clean7Bit %%PageOrder: Ascend %%Orientation: Portrait %%DocumentMedia: Default 612 792 0 () () %ADO_ImageableArea: 18 19 593 774 %%EndComments %%BeginDefaults %%ViewingOrientation: 1 0 0 1 %%EndDefaults userdict begin/dscInfo 5 dict dup begin /Title(Microsoft Word - COBS)def /Creator(Microsoft Word: PSPrinter 8.3.1)def /CreationDate(1:25 PM Thursday, July 3, 1997)def /For(Stuart Cheshire)def /Pages 12 def end def end /md 227 dict def md begin/currentpacking where {pop /sc_oldpacking currentpacking def true setpacking}if %%BeginFile: adobe_psp_basic %%Copyright: Copyright 1990-1996 Adobe Systems Incorporated. All Rights Reserved. /bd{bind def}bind def /xdf{exch def}bd /xs{exch store}bd /ld{load def}bd /Z{0 def}bd /T/true /F/false /:L/lineto /lw/setlinewidth /:M/moveto /rl/rlineto /rm/rmoveto /:C/curveto /:T/translate /:K/closepath /:mf/makefont /gS/gsave /gR/grestore /np/newpath 14{ld}repeat /$m matrix def /av 83 def /por true def /normland false def /psb-nosave{}bd /pse-nosave{}bd /us Z /psb{/us save store}bd /pse{us restore}bd /level2 /languagelevel where { pop languagelevel 2 ge }{ false }ifelse def /featurecleanup { stopped cleartomark countdictstack exch sub dup 0 gt { {end}repeat }{ pop }ifelse }bd /noload Z /startnoload { {/noload save store}if }bd /endnoload { {noload restore}if }bd level2 startnoload /setjob { statusdict/jobname 3 -1 roll put }bd /setcopies { userdict/#copies 3 -1 roll put }bd level2 endnoload level2 not startnoload /setjob { 1 dict begin/JobName xdf currentdict end setuserparams }bd /setcopies { 1 dict begin/NumCopies xdf currentdict end setpagedevice }bd level2 not endnoload /pm Z /mT Z /sD Z /realshowpage Z /initializepage { /pm save store mT concat }bd /endp { pm restore showpage }def /endp1 { pm restore }def /endp2 { showpage }def /$c/DeviceRGB def /rectclip where { pop/rC/rectclip ld }{ /rC { np 4 2 roll :M 1 index 0 rl 0 exch rl neg 0 rl :K clip np }bd }ifelse /rectfill where { pop/rF/rectfill ld }{ /rF { gS np 4 2 roll :M 1 index 0 rl 0 exch rl neg 0 rl fill gR }bd }ifelse /rectstroke where { pop/rS/rectstroke ld }{ /rS { gS np 4 2 roll :M 1 index 0 rl 0 exch rl neg 0 rl :K stroke gR }bd }ifelse %%EndFile %%BeginFile: adobe_psp_colorspace_level1 %%Copyright: Copyright 1991-1996 Adobe Systems Incorporated. All Rights Reserved. /G/setgray ld /:F1/setgray ld /:F/setrgbcolor ld /:F4/setcmykcolor where { pop /setcmykcolor ld }{ { 3 { dup 3 -1 roll add dup 1 gt{pop 1}if 1 exch sub 4 1 roll }repeat pop setrgbcolor }bd }ifelse /:Fx { counttomark {0{G}0{:F}{:F4}} exch get exec pop }bd /:rg{/DeviceRGB :ss}bd /:sc{$cs :ss}bd /:dc{/$cs xdf}bd /:sgl{}def /:dr{}bd /:nmCRD{pop}bd /:fCRD{pop}bd /:ckcs{}bd /:ss{/$c xdf}bd /$cs Z %%EndFile level2 startnoload %%BeginFile: adobe_psp_patterns_level1 %%Copyright: Copyright 1991-1996 Adobe Systems Incorporated. All Rights Reserved. /patfreq Z /patangle Z /bk Z /fg Z /docolorscreen Z /graystring Z /pattransf{}def /initQDpatterns { /patfreq 9.375 store /patangle 1 0 $m defaultmatrix dtransform exch atan por not {90 add}if normland{180 add}if store :a }def /docolorscreen /setcolorscreen where { pop/currentcolorscreen where { pop/setcmykcolor where { pop true }{ false }ifelse }{ false }ifelse }{ false }ifelse def /setgraypattern { /graystring xs patfreq patangle { 1 add 4 mul cvi graystring exch get exch 1 add 4 mul cvi 7 sub bitshift 1 and }setscreen 64 div setgray }bd /:b { /pattransf load settransfer pop pop pop setgraypattern }bd docolorscreen startnoload /screensave 5 array def /:a{currentgray currentscreen currenttransfer screensave astore pop}bd /:e{screensave aload pop settransfer setscreen setgray}bd /:d { pop pop pop /pattransf load settransfer setgraypattern 8{pop}repeat }bd /:c /:d ld docolorscreen endnoload docolorscreen not startnoload /screensave 20 array def /:a{currentcmykcolor currentcolorscreen currentcolortransfer screensave astore pop}bd /:e{screensave aload pop setcolortransfer setcolorscreen setcmykcolor}bd /rstring Z /grstring Z /blstring Z /convroll{64 div 4 -1 roll}bd /setcolorpattern { /graystring xs /blstring xs /grstring xs /rstring xs patfreq patangle { 1 add 4 mul cvi rstring exch get exch 1 add 4 mul cvi 7 sub bitshift 1 and } patfreq patangle { 1 add 4 mul cvi grstring exch get exch 1 add 4 mul cvi 7 sub bitshift 1 and } patfreq patangle { 1 add 4 mul cvi blstring exch get exch 1 add 4 mul cvi 7 sub bitshift 1 and } patfreq patangle { 1 add 4 mul cvi graystring exch get exch 1 add 4 mul cvi 7 sub bitshift 1 and } setcolorscreen convroll convroll convroll convroll setcmykcolor }bd /:d { pop pop pop /pattransf load settransfer pop pop setcolorpattern }bd /:c /:d ld docolorscreen not endnoload %%EndFile level2 endnoload level2 not startnoload %%BeginFile: adobe_psp_patterns_level2 %%Copyright: Copyright 1990-1996 Adobe Systems Incorporated. All Rights Reserved. /pmtx Z /BGnd Z /FGnd Z /PaintData Z /PatternMtx Z /PatHeight Z /PatWidth Z /$d Z /savecolor 4 array def /savecolorspace Z /patDecode Z /:a{ mark 0 0 0 currentcolor savecolor astore pop cleartomark /savecolorspace currentcolorspace store $c setcolorspace /patDecode [currentcolor counttomark dup 2 add 1 roll cleartomark[exch {0 1}repeat] def }bd /:e{ savecolorspace setcolorspace mark savecolor aload pop setcolor cleartomark }bd /initQDpatterns { gS initmatrix mT dup 4 get exch 5 get :T 1 0 dtransform round exch round exch idtransform dup mul exch dup mul exch add sqrt 0 1 dtransform round exch round exch idtransform dup mul exch dup mul exch add sqrt neg scale 0 por not{90 add}if normland{180 add}if rotate matrix currentmatrix gR /pmtx xs :a }bd /:t { 14 dict begin /BGnd xdf /FGnd xdf /PaintData xdf /PatternType 1 def /PaintType 1 def /BBox[0 0 1 1]def /TilingType 1 def /XStep 1 def /YStep 1 def /PatternMtx[24 0 0 24 0 0]def /PaintProc BGnd null ne { { begin BGnd aload pop :F 0 0 1 1 rF FGnd aload pop :F 24 24 true PatternMtx PaintData imagemask end } }{ { begin FGnd aload pop :F 24 24 true PatternMtx PaintData imagemask end } }ifelse def currentdict PatternMtx end $c setcolorspace gS pmtx setmatrix makepattern gR }bd /:u { 14 dict begin /$d 8 dict def /PatternType 1 def /PaintType 1 def /BBox[0 0 1 1]def /TilingType 1 def /XStep 1 def /YStep 1 def /PaintData xdf /PatHeight xdf /PatWidth xdf /PatternMtx[PatWidth 0 0 PatHeight 0 0]def $d begin /ImageType 1 def /MultipleDataSource false def /Height PatHeight def /Width PatWidth def /Decode patDecode def /ImageMatrix PatternMtx def /DataSource PaintData def /BitsPerComponent 8 def end /PaintProc { begin $d image end }def currentdict PatternMtx end gS $c setcolorspace pmtx setmatrix makepattern gR }bd /bk[1 1 1]def /fg[0 0 0]def /:b{ :t setpattern pop pop }bd /:d{ :t setpattern 10{pop}repeat }bd /:c{ :u setpattern 10{pop}repeat }bd %%EndFile level2 not endnoload %%BeginFile: adobe_psp_uniform_graphics %%Copyright: Copyright 1990-1996 Adobe Systems Incorporated. All Rights Reserved. /@a { np :M 0 rl :L 0 exch rl 0 rl :L fill }bd /@b { np :M 0 rl 0 exch rl :L 0 rl 0 exch rl fill }bd /@c { moveto lineto stroke }bd /arct where { pop }{ /arct { arcto pop pop pop pop }bd }ifelse /x1 Z /x2 Z /y1 Z /y2 Z /rad Z /@q { /rad xs /y2 xs /x2 xs /y1 xs /x1 xs np x2 x1 add 2 div y1 :M x2 y1 x2 y2 rad arct x2 y2 x1 y2 rad arct x1 y2 x1 y1 rad arct x1 y1 x2 y1 rad arct fill }bd /@s { /rad xs /y2 xs /x2 xs /y1 xs /x1 xs np x2 x1 add 2 div y1 :M x2 y1 x2 y2 rad arct x2 y2 x1 y2 rad arct x1 y2 x1 y1 rad arct x1 y1 x2 y1 rad arct :K stroke }bd /@i { np 0 360 arc fill }bd /@j { gS np :T scale 0 0 .5 0 360 arc fill gR }bd /@e { np 0 360 arc :K stroke }bd /@f { np $m currentmatrix pop :T scale 0 0 .5 0 360 arc :K $m setmatrix stroke }bd /@k { gS np :T 0 0 :M 0 0 5 2 roll arc fill gR }bd /@l { gS np :T 0 0 :M scale 0 0 .5 5 -2 roll arc fill gR }bd /@m { np arc stroke }bd /@n { np $m currentmatrix pop :T scale 0 0 .5 5 -2 roll arc $m setmatrix stroke }bd %%EndFile %%BeginFile: adobe_psp_customps %%Copyright: Copyright 1990-1996 Adobe Systems Incorporated. All Rights Reserved. /$t Z /$p Z /$s Z /$o 1. def /2state? false def /ps Z level2 startnoload /pushcolor/currentrgbcolor ld /popcolor/setrgbcolor ld /setcmykcolor where { pop/currentcmykcolor where { pop/pushcolor/currentcmykcolor ld /popcolor/setcmykcolor ld }if }if level2 endnoload level2 not startnoload /pushcolor { currentcolorspace $c eq { currentcolor currentcolorspace true }{ currentcmykcolor false }ifelse }bd /popcolor { { setcolorspace setcolor }{ setcmykcolor }ifelse }bd level2 not endnoload /pushstatic { ps 2state? $o $t $p $s $cs }bd /popstatic { /$cs xs /$s xs /$p xs /$t xs /$o xs /2state? xs /ps xs }bd /pushgstate { save errordict/nocurrentpoint{pop 0 0}put currentpoint 3 -1 roll restore pushcolor currentlinewidth currentlinecap currentlinejoin currentdash exch aload length np clippath pathbbox $m currentmatrix aload pop }bd /popgstate { $m astore setmatrix 2 index sub exch 3 index sub exch rC array astore exch setdash setlinejoin setlinecap lw popcolor np :M }bd /bu { pushgstate gR pushgstate 2state? { gR pushgstate }if pushstatic pm restore mT concat }bd /bn { /pm save store popstatic popgstate gS popgstate 2state? { gS popgstate }if }bd /cpat{pop 64 div setgray 8{pop}repeat}bd %%EndFile %%BeginFile: adobe_psp_basic_text %%Copyright: Copyright 1990-1996 Adobe Systems Incorporated. All Rights Reserved. /S/show ld /A{ 0.0 exch ashow }bd /R{ 0.0 exch 32 exch widthshow }bd /W{ 0.0 3 1 roll widthshow }bd /J{ 0.0 32 4 2 roll 0.0 exch awidthshow }bd /V{ 0.0 4 1 roll 0.0 exch awidthshow }bd /fcflg true def /fc{ fcflg{ vmstatus exch sub 50000 lt{ (%%[ Warning: Running out of memory ]%%\r)print flush/fcflg false store }if pop }if }bd /$f[1 0 0 -1 0 0]def /:ff{$f :mf}bd /MacEncoding StandardEncoding 256 array copy def MacEncoding 39/quotesingle put MacEncoding 96/grave put /Adieresis/Aring/Ccedilla/Eacute/Ntilde/Odieresis/Udieresis/aacute /agrave/acircumflex/adieresis/atilde/aring/ccedilla/eacute/egrave /ecircumflex/edieresis/iacute/igrave/icircumflex/idieresis/ntilde/oacute /ograve/ocircumflex/odieresis/otilde/uacute/ugrave/ucircumflex/udieresis /dagger/degree/cent/sterling/section/bullet/paragraph/germandbls /registered/copyright/trademark/acute/dieresis/notequal/AE/Oslash /infinity/plusminus/lessequal/greaterequal/yen/mu/partialdiff/summation /product/pi/integral/ordfeminine/ordmasculine/Omega/ae/oslash /questiondown/exclamdown/logicalnot/radical/florin/approxequal/Delta/guillemotleft /guillemotright/ellipsis/space/Agrave/Atilde/Otilde/OE/oe /endash/emdash/quotedblleft/quotedblright/quoteleft/quoteright/divide/lozenge /ydieresis/Ydieresis/fraction/currency/guilsinglleft/guilsinglright/fi/fl /daggerdbl/periodcentered/quotesinglbase/quotedblbase/perthousand /Acircumflex/Ecircumflex/Aacute/Edieresis/Egrave/Iacute/Icircumflex/Idieresis/Igrave /Oacute/Ocircumflex/apple/Ograve/Uacute/Ucircumflex/Ugrave/dotlessi/circumflex/tilde /macron/breve/dotaccent/ring/cedilla/hungarumlaut/ogonek/caron MacEncoding 128 128 getinterval astore pop level2 startnoload /copyfontdict { findfont dup length dict begin { 1 index/FID ne{def}{pop pop}ifelse }forall }bd level2 endnoload level2 not startnoload /copyfontdict { findfont dup length dict copy begin }bd level2 not endnoload md/fontname known not{ /fontname/customfont def }if /Encoding Z /:mre { copyfontdict /Encoding MacEncoding def fontname currentdict end definefont :ff def }bd /:bsr { copyfontdict /Encoding Encoding 256 array copy def Encoding dup }bd /pd{put dup}bd /:esr { pop pop fontname currentdict end definefont :ff def }bd /scf { scalefont def }bd /scf-non { $m scale :mf setfont }bd /ps Z /fz{/ps xs}bd /sf/setfont ld /cF/currentfont ld /mbf { /makeblendedfont where { pop makeblendedfont /ABlend exch definefont }{ pop }ifelse def }def %%EndFile %%BeginFile: adobe_psp_TrueType %%Copyright: Copyright 1991-1996 Apple Computer, Inc. All Rights Reserved. userdict/LW statusdict begin product end(LaserWriter)anchorsearch exch pop { dup length 0 eq { pop 1 }{ ( Plus)eq { 2 }{ 3 }ifelse }ifelse }{ 0 }ifelse put userdict/patchOK known not{ userdict/patchOK systemdict/eexec known systemdict/cexec known and{ countdictstack mark false <1861AEDAE118A9F95F1629C0137F8FE656811DD93DFBEA65E947502E78BA12284B8A58EF0A3 2E272778DAA2ABEC72A84102D591E11D96BA61F57877B895A752D9BEAAC3DFD7D3220E2BDE7 C036467464E0E836748F1DE7AB6216866F130CE7CFCEC8CE050B870C11881EE3E9D70919> {eexec}stopped{ cleartomark countdictstack exch sub dup 0 gt{{end}repeat}{pop}ifelse false }{ {cleartomark pop true}{cleartomark pop false}ifelse }ifelse }{false}ifelse put }if userdict/downloadOK known not { userdict/downloadOK { patchOK LW dup 1 ne exch 2 ne and and vmstatus exch sub exch pop 120000 gt and }bind put }if userdict/type42known known not { userdict/type42known systemdict/resourcestatus known { 42/FontType resourcestatus { pop pop true }{ false }ifelse }{ false }ifelse put }if type42known not downloadOK and userdict/*charpath known not and { userdict begin /*charpath/charpath load def /charpathflag false def /charpath { userdict/charpathflag true put userdict/*charpath get exec userdict/charpathflag false put }bind def end }if /endstring 0 def /mystring 0 def userdict/checkload { { pop exec }{ save 3 dict begin /mystring 6050 string def exch /endstring exch def { currentfile mystring readline not {stop}if endstring eq {exit}if }loop end restore pop }ifelse }bind put type42known not downloadOK and{userdict/TrueDict known{TrueDict/initer known not} {true userdict begin/TrueDict 8 dict dup /version 28 put def end}ifelse}{false}ifelse{currentfile eexec}exch( %endeexec)exch checkload 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def/Oacute 208 def/Ocircumflex 209 def/apple 210 def/Ograve 211 def/Uacute 212 def/Ucircumflex 213 def/Ugrave 214 def /dotlessi 215 def/circumflex 216 def/tilde 217 def/macron 218 def/breve 219 def/dotaccent 220 def/ring 221 def/cedilla 222 def /hungarumlaut 223 def/ogonek 224 def/caron 225 def/Lslash 226 def/lslash 227 def/Scaron 228 def/scaron 229 def/Zcaron 230 def /zcaron 231 def/brokenbar 232 def/Eth 233 def/eth 234 def/Yacute 235 def/yacute 236 def/Thorn 237 def/thorn 238 def /minus 239 def/multiply 240 def/onesuperior 241 def/twosuperior 242 def/threesuperior 243 def/onehalf 244 def/onequarter 245 def/threequarters 246 def /franc 247 def/Gbreve 248 def/gbreve 249 def/Idot 250 def/Scedilla 251 def/scedilla 252 def/Cacute 253 def/cacute 254 def /Ccaron 255 def/ccaron 256 def/dmacron 257 def end readonly def %endsfnt %beginsfntBC truedictknown type42known not and ( %endsfntBC)exch fcheckload /TrueState 271 string def TrueDict begin sfnts save 72 0 matrix defaultmatrix dtransform 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575 755 rC 272 736 :M f0_10 sf (\321 )S 285 736 :M (1)S 291 736 :M ( \321)S 150 63 :M f1_18 sf -.003(Consistent Overhead Byte Stuffing)A 202 104 :M f1_12 sf (Stuart Cheshire and Mary Baker)S 161 118 :M f2_12 sf -.002(Computer Science Department, Stanford University)A 208 132 :M (Stanford, California 94305, USA)S 169 158 :M f4_12 sf -.204({cheshire,mgbaker}@cs.stanford.edu)A 129 210 :M f3_14 sf (Abstract)S 36 230 :M f2_10 sf .112 .011(Byte stuffing is a process that transforms a sequence of data)J 36 242 :M .703 .07(bytes that may contain \324illegal\325 or \324reserved\325 values into a)J 36 254 :M .37 .037(potentially longer sequence that contains no occurrences of)J 36 266 :M .237 .024(those values. The extra length is referred to in this paper as)J 36 278 :M (the overhead of the algorithm.)S 36 296 :M 1.334 .133(To date, byte stuffing algorithms, such as those used by)J 36 308 :M .57 .057(SLIP [RFC1055], PPP [RFC1662] and AX.25 [ARRL84],)J 36 320 :M .358 .036(have been designed to incur low average overhead but have)J 36 332 :M (made little effort to minimize worst case overhead.)S 36 350 :M .672 .067(Some increasingly popular network devices, however, care)J 36 362 :M .828 .083(more about the worst case. For example, the transmission)J 36 374 :M 1.735 .173(time for ISM-band packet radio transmitters is strictly)J 36 386 :M .118 .012(limited by FCC regulation. To adhere to this regulation, the)J 36 398 :M .033 .003(practice is to set the maximum packet size artificially low so)J 36 410 :M .765 .076(that no packet, even after worst case overhead, can exceed)J 36 422 :M (the transmission time limit.)S 36 440 :M .976 .098(This paper presents a new byte stuffing algorithm, called)J 36 452 :M 1.23 .123(Consistent Overhead Byte Stuffing \(COBS\), that tightly)J 36 464 :M .419 .042(bounds the worst case overhead. It guarantees in the worst)J 36 476 :M 1.136 .114(case to add no more than one byte in 254 to any packet.)J 36 488 :M .693 .069(Furthermore, the algorithm is computationally cheap, and)J 36 500 :M 2.492 .249(its average overhead is very competitive with that of)J 36 512 :M (existing alg)S 83 512 :M (orithms.)S 36 538 :M f3_14 sf (1)S 43 538 :M (.)S 46 538 :M ( )S 58 538 :M (Introduction)S 36 558 :M f1_10 sf .098 .01(The purpose of byte stuffing is to convert data packets)J 36 570 :M 1.856 .186(into a form suitable for transmission over a serial)J 36 582 :M 1.621 .162(medium like a telephone line. Boundaries between)J 36 594 :M .712 .071(packets are marked by a special reserved byte value,)J 36 606 :M 1.304 .13(and byte stuffing ensures, at the cost of a potential)J 36 618 :M .853 .085(increase in packet size, that this reserved value does)J 36 630 :M .399 .04(not inadvertently appear in the body of any transmi)J 271 630 :M (t-)S 299 196 :M .056 .006(ted packet. In general, some added overhead \(in terms)J 299 208 :M 1.671 .167(of additional bytes transmitted over the serial m)J 532 208 :M (e-)S 299 220 :M .597 .06(dium\) is inevitable if we are to perform byte stuffing)J 299 232 :M (without loss of information.)S 299 250 :M .852 .085(Current byte stuffing algorithms, such as those used)J 299 262 :M 3.74 .374(by SLIP [RFC1055], PPP [RFC1662] and AX.25)J 299 274 :M 2.422 .242([ARRL84], have potentially high variance in per-)J 299 286 :M 3.523 .352(packet overhead. For example, using PPP byte)J 299 298 :M .753 .075(stuffing, the overall overhead \(averaged over a large)J 299 310 :M 1.06 .106(number of packets\) is typically 1% or less, but ind)J 534 310 :M (i-)S 299 322 :M 1.838 .184(vidual packets can increase in size by as much as)J 299 334 :M (100%.)S 299 352 :M .177 .018(While this variability in overhead may add some jitter)J 299 364 :M .547 .055(and unpredictability to network behavior, it has only)J 299 376 :M .565 .057(minor implications for running PPP over a telephone)J 299 388 :M .621 .062(modem. The IP host using the PPP protocol has only)J 299 400 :M .115 .011(to make its transmit and receive serial buffers twice as)J 299 412 :M 2.189 .219(big as the largest IP packet it expects to send or)J 299 424 :M 1.758 .176(receive. The modem itself is a connection-oriented)J 299 436 :M 1.608 .161(device and is only concerned with transmitting an)J 299 448 :M .984 .098(unstructured stream of byte values. It is unaware of)J 299 460 :M 1.228 .123(the concept of packet boundaries, so the size of the)J 299 472 :M .278 .028(packets it has to send does not have any direct design)J 299 484 :M (implications for the modem.)S 299 502 :M .478 .048(In contrast, new devices are now becoming available,)J 299 514 :M .152 .015(particularly portable wireless devices, that are packet-)J 299 526 :M 3.764 .376(oriented, not circuit-oriented. Unlike telephone)J 299 538 :M 2.687 .269(modems these devices are not insensitive to the)J 299 550 :M 2.326 .233(packet sizes they have to send. Channel-hopping)J 299 562 :M 2.371 .237(packet radios that operate in the unlicensed ISM)J 299 574 :M .714 .071(\(Industrial/Scientific/Medical\) bands under the FCC)J 299 586 :M .134 .013(Part 15 rules [US94-15] have a maximum transmission)J 299 598 :M .396 .04(time which they are not allowed to exceed. Unexpect-)J 299 610 :M 1.231 .123(edly doubling the size of a packet could result in a)J 299 622 :M .997 .1(packet that is too big to transmit legally. Using PPP)J 299 634 :M .775 .078(encoding, the only way to be certain that no packets)J 299 646 :M 2.598 .26(will exceed the legal limit is to set the IP MTU)J 299 658 :M .261 .026(\(maximum transmission unit\) to half the device\325s true)J 299 670 :M 1.465 .146(MTU, despite the fact that it is exceedingly rare to)J 299 682 :M .359 .036(encounter a packet that actually doubles in size when)J 299 694 :M .262 .026(encoded. Drastically reducing the IP MTU in this way)J 299 706 :M .157 .016(can significantly degrade the performance seen by the)J 299 718 :M (end-user.)S 24 648 265 72 rC 29 654 :M f0_8 sf .056 .006(Permission to make digital/hard copies of all or part of this material with-)J 29 662 :M .428 .043(out fee is granted provided that the copies are not made or distributed)J 29 670 :M .897 .09(for profit or commercial advantage, the ACM copyright/server notice,)J 29 678 :M .434 .043(the title of the publication and its date appear, and notice is given that)J 29 686 :M .285 .028(copyright is by permission of the Association for Computing Machinery,)J 29 694 :M .795 .079(Inc. \(ACM\). To copy otherwise, to republish, to post on servers or to)J 29 702 :M (redistribute to lists, requires prior specific permission and/or a fee.)S 29 710 :M (SIGCOMM \32597 - Cannes, France, September 1997)S 29 718 :M (\251 1997 ACM)S endp %%PageTrailer %%Page: 2 2 %%BeginPageSetup initializepage (Stuart Cheshire; document: Microsoft Word - COBS; page: 2 of 12)setjob %%EndPageSetup gS 0 0 575 755 rC 272 736 :M f0_10 sf (\321 )S 285 736 :M (2)S 291 736 :M ( \321)S 36 46 :M f1_10 sf .389 .039(Although, as seen from experiments presented in this)J 36 58 :M .025 .003(paper, packets that actually double in size rarely occur)J 36 70 :M .539 .054(naturally, it is not acceptable to ignore the possibility)J 36 82 :M 1.851 .185(of their occurrence. Without a factor-of-two safety)J 36 94 :M 1.099 .11(margin, the network device would be open to mal)J 271 94 :M (i-)S 36 106 :M 1.82 .182(cious attack through artificially constructed patho-)J 36 118 :M .359 .036(logical packets. An attacker could use such packets to)J 36 130 :M 1.077 .108(exploit the device\325s inability to send and/or receive)J 36 142 :M 1.855 .186(worst-case packets, causing mischief ranging from)J 36 154 :M 1.771 .177(simple denial of service attacks to the much more)J 36 166 :M 1.609 .161(serious potential for exploiting finger-d\276mon-style)J 36 178 :M -.002(run-off-the-end-of-the-array bugs [RFC1135].)A 36 196 :M 1.308 .131(This problem could be solved in a variety of ways.)J 36 208 :M .478 .048(One solution would be to set the IP MTU close to the)J 36 220 :M .631 .063(underlying device MTU, and use link-layer fragme)J 268 220 :M (n-)S 36 232 :M (tation and reassembly for packets that exceed the limit)S 36 244 :M .215 .022(when encoded. While this could work, requiring link-)J 36 256 :M 1.868 .187(layer software to perform fragmentation and reas-)J 36 268 :M 1.016 .102(sembly is a substantial burden we would rather not)J 36 280 :M 1.715 .171(impose on driver writers. Fragmentation and rea)J 270 280 :M (s-)S 36 292 :M 1.264 .126(sembly code has proved notoriously difficult to get)J 36 304 :M 1.782 .178(right, as evidenced by the recent spate of Internet)J 36 316 :M .956 .096(\322Ping of death\323 attacks exploiting a reassembly bug)J 36 328 :M .381 .038(that exists in many implementations of IP [CA-96.26].)J 36 340 :M 2.004 .2(Link-layer fragmentation would also add protocol)J 36 352 :M 3.034 .303(overhead, because the link-layer packet headers)J 36 364 :M .168 .017(would have to contain additional fields to support the)J 36 376 :M 1.214 .121(detection, ordering, and reassembly of fragments at)J 36 388 :M (the receiving end.)S 36 406 :M .931 .093(It might also be possible to use IP\325s own fragment)J 269 406 :M (a-)S 36 418 :M 1.588 .159(tion and reassembly mechanisms, but this solution)J 36 430 :M 1.771 .177(also has problems. One problem is that in current)J 36 442 :M .922 .092(networking software implementations IP fragment)J 269 442 :M (a-)S 36 454 :M .685 .069(tion occurs before the packet is handed to the device)J 36 466 :M .835 .084(driver software for transmission. There is no mech)J 269 466 :M (a-)S 36 478 :M .492 .049(nism for the device driver to hand the packet back to)J 36 490 :M 1.398 .14(IP with a message saying, \322Sorry, I failed, can you)J 36 502 :M 1.208 .121(please refragment this packet and try again?\323 Also,)J 36 514 :M .84 .084(some software goes to great lengths to perform path)J 36 526 :M 2.516 .252(MTU discovery in order to send optimally sized)J 36 538 :M .052 .005(packets. It would be difficult for such software to cope)J 36 550 :M 2.542 .254(with an IP implementation where the MTU of a)J 36 562 :M .478 .048(device may vary for each packet. Finally, it is unclear)J 36 574 :M 1.885 .188(how this mechanism could handle IP packets that)J 36 586 :M -.001(have the \322Don\325t Fragment\323 header bit set.)A 36 604 :M .152 .015(Given these problems it would be much better if there)J 36 616 :M .412 .041(were a byte stuffing algorithm that did not have such)J 36 628 :M 2.417 .242(inconsistent behavior. This paper presents a new)J 36 640 :M 1.028 .103(algorithm, called Consistent Overhead Byte Stuffing)J 36 652 :M 2.599 .26(\(COBS\), which can be relied upon to encode all)J 36 664 :M 1.21 .121(packets efficiently, regardless of their contents. It is)J 36 676 :M 1.883 .188(simple to understand, computationally cheap, and)J 36 688 :M .681 .068(easy to implement in software. All packets up to 254)J 36 700 :M 2.255 .226(bytes in length are encoded with an overhead of)J 36 712 :M .425 .043(exactly one byte. For packets over 254 bytes in length)J 299 46 :M .084 .008(the overhead is at most one byte for every 254 bytes of)J 299 58 :M 1.49 .149(packet data. The maximum overhead can be calc)J 531 58 :M (u-)S 299 70 :M 1.946 .195(lated as 0.4% of the packet size, rounded up to a)J 299 82 :M (whole number of bytes.)S 299 100 :M .356 .036(Using this algorithm, the IP MTU can be set to within)J 299 112 :M .266 .027(0.4% of the underlying device\325s maximum packet size)J 299 124 :M 1.37 .137(without fear of any packet inadvertently exceeding)J 299 136 :M 1.797 .18(that limit. This gives better end-user performance,)J 299 148 :M .475 .048(because now any given piece of hardware can consis-)J 299 160 :M -.001(tently send larger IP packet payloads.)A 299 178 :M (The rest of the paper proceeds as follows:)S 299 196 :M .288 .029(In the next section we give more detailed background)J 299 208 :M .243 .024(information on the subject of packet framing and byte)J 299 220 :M (stuffing.)S 299 238 :M 2.958 .296(Section 3 describes COBS and Sections 4 and 5)J 299 250 :M .151 .015(compare its cost to using PPP to encode the same data)J 299 262 :M .142 .014(packets. In the least favourable case for our algorithm,)J 299 274 :M 2.146 .215(network traffic consisting predominantly of small)J 299 286 :M 1.158 .116(packets, COBS is found to add less than 0.5% add)J 534 286 :M (i-)S 299 298 :M .705 .071(tional average overhead compared to PPP. Although)J 299 310 :M 1.59 .159(this is a small price for the performance benefit of)J 299 322 :M .27 .027(being able to use much larger packets, it is possible to)J 299 334 :M .815 .081(eliminate even this cost. We present a trivial modifi-)J 299 346 :M 1.179 .118(cation to COBS, called Zero Pair Elimination \(ZPE\),)J 299 358 :M 1.299 .13(that improves on straight COBS\325s average perfor)J 528 358 :M (m-)S 299 370 :M .246 .025(ance at the expense of a fractionally higher worst case)J 299 382 :M 1.349 .135(bound. In addition to having a very low bound on)J 299 394 :M 2.135 .214(worst-case overhead, COBS/ZPE also achieves an)J 299 406 :M 1.066 .107(average overhead lower than PPP\325s, even for small-)J 299 418 :M (packet traffic.)S 299 436 :M .014 .001(In Section 4 we consider the expected overhead from a)J 299 448 :M 2.921 .292(theoretical point of view, for data consisting of)J 299 460 :M 2 .2(uniformly distributed random eight-bit values. Of)J 299 472 :M 2.218 .222(course real network traffic often does not have a)J 299 484 :M .147 .015(uniform distribution of byte values, so in Section 5 we)J 299 496 :M 1.338 .134(present experimental results comparing COBS with)J 299 508 :M 1.392 .139(PPP for real network traffic. Section 6 presents our)J 299 520 :M (conclusions.)S 299 546 :M f3_14 sf (2)S 306 546 :M (.)S 309 546 :M ( )S 321 546 :M (Background:)S 321 562 :M (Packet Framing and Data Stuffing)S 299 582 :M f1_10 sf .938 .094(When packet data is sent over any serial medium, a)J 299 594 :M 3.26 .326(protocol is needed by which to demark packet)J 299 606 :M .949 .095(boundaries. This is done by using a special value or)J 299 618 :M .881 .088(signal. That marker should be one that never occurs)J 299 630 :M 2.271 .227(within the body of any packet, so that when the)J 299 642 :M .194 .019(receiver detects that special marker, it knows, without)J 299 654 :M .766 .077(any ambiguity, that it does indeed indicate a bound-)J 299 666 :M (ary between packets.)S 299 684 :M .645 .065(In hardware systems low-level framing protocols are)J 299 696 :M 3.285 .329(common. For example, in IBM Token Ring the)J 299 708 :M 2.505 .251(electrical signalling on the wire uses Differential)J endp %%PageTrailer %%Page: 3 3 %%BeginPageSetup initializepage (Stuart Cheshire; document: Microsoft Word - COBS; page: 3 of 12)setjob %%EndPageSetup gS 0 0 575 755 rC 272 736 :M f0_10 sf (\321 )S 285 736 :M (3)S 291 736 :M ( \321)S 36 46 :M f1_10 sf 2.395 .239(Manchester Encoding, and packet boundaries are)J 36 58 :M 3.402 .34(marked by a violation of those encoding rules)J 36 70 :M 1.567 .157([IEEE802.5]. Making the packet delimiter an illegal)J 36 82 :M 1.19 .119(signal value is a very simple way to ensure that no)J 36 94 :M .383 .038(packet payload can inadvertently generate that signal)J 36 106 :M .038 .004(on the cable. This approach is not a universal solution,)J 36 118 :M .624 .062(because not all hardware supports deliberate genera-)J 36 130 :M .169 .017(tion of protocol violations, and even on hardware that)J 36 142 :M 1.422 .142(does, use of this facility is usually restricted to the)J 36 154 :M (lowest levels of the driver firmware.)S 36 172 :M 1.654 .165(An alternative is to use a legal value as the frame)J 36 184 :M 1.523 .152(delimiter. The drawback of this method is that the)J 36 196 :M 2.074 .207(protocol needs to ensure that the frame delimiter)J 36 208 :M .146 .015(value never occurs within the body of the packet. One)J 36 220 :M 1.593 .159(approach is simply to prohibit the frame delimiter)J 36 232 :M .703 .07(value from being used in the data of any packet, but)J 36 244 :M 2.001 .2(this has the disadvantage that the communication)J 36 256 :M .204 .02(protocol is no longer \324transparent\325 to the higher layers)J 36 268 :M 1.746 .175(\321 the software using it has to be aware of which)J 36 280 :M -.001(character values it can use and which it cannot.)A 36 298 :M 1.825 .183(A better approach is to allow the higher layers of)J 36 310 :M .553 .055(software to send any character values they wish, and)J 36 322 :M .224 .022(to make the framing protocol software responsible for)J 36 334 :M 1.811 .181(transforming any data it is given into a form that)J 36 346 :M .769 .077(contains no reserved character values and is suitable)J 36 358 :M .005 .001(for transmission. Whatever transformation it performs)J 36 370 :M 3.184 .318(must be reversible, so that the communications)J 36 382 :M .456 .046(software at the receiving end can recover the original)J 36 394 :M 1.25 .125(payload from the encoded form that is transmitted.)J 36 406 :M .839 .084(The mechanisms generally used to do this are called)J 36 418 :M .676 .068(bit stuffing algorithms \(which operate on a bit-by-bit)J 36 430 :M .359 .036(basis\) or byte stuffing algorithms \(which operate on a)J 36 442 :M (byte at a time\).)S 36 460 :M .463 .046(Both bit stuffing and byte stuffing in general increase)J 36 472 :M .149 .015(the size of the data being sent. The amount of increase)J 36 484 :M .803 .08(depends on the patterns of values that appear in the)J 36 496 :M .517 .052(original data and can vary from no overhead at all to)J 36 508 :M .873 .087(doubling the packet size \(in the worst case for PPP\).)J 36 520 :M (These are discussed in more detail below.)S 36 538 :M .982 .098(HDLC [ECMA40] uses a bit stuffing scheme. It uses)J 36 550 :M 2.18 .218(the binary sequence 01111110, called the Flag Se-)J 36 562 :M 2.377 .238(quence, to mark boundaries between packets. To)J 36 574 :M 1.69 .169(eliminate this pattern from the data, the following)J 36 586 :M 2.48 .248(transformation is used: whenever the transmitter)J 36 598 :M .586 .059(observes five ones in a row, it inserts a zero immed)J 271 598 :M (i-)S 36 610 :M .889 .089(ately following. This eliminates the possibility of six)J 36 622 :M 1.676 .168(ones ever occurring inadvertently in the data. The)J 36 634 :M .163 .016(receiver performs the reverse process: After observing)J 36 646 :M .083 .008(five ones in a row, if the next binary digit is a zero it is)J 36 658 :M .448 .045(deleted, and if it is a one then the receiver recognizes)J 36 670 :M .539 .054(it as one of the special framing patterns. This process)J 36 682 :M .811 .081(of inserting extra zeroes \(\324bit stuffing\325 or \324zero inse)J 270 682 :M (r-)S 36 694 :M .371 .037(tion\325\) increases the transmitted size of the data. In the)J 36 706 :M 1.343 .134(worse case, for data that consists entirely of binary)J 299 46 :M .685 .068(ones, HDLC framing can add 20% to the transmitted)J 299 58 :M (size of the data.)S 299 76 :M .963 .096(This kind of bit-level manipulation is easy to imple-)J 299 88 :M .096 .01(ment in the hardware of a serial transmitter, but is not)J 299 100 :M 1.531 .153(easy to implement efficiently in software. Software)J 299 112 :M .319 .032(gets efficiency from working in units of 8, 32, or more)J 299 124 :M .905 .09(bits at a time, using on-chip registers and wide data)J 299 136 :M 2.745 .275(buses. Algorithms that are specified in terms of)J 299 148 :M .205 .02(individual bits can be hard to implement efficiently in)J 299 160 :M 2.381 .238(software because it can be difficult to take good)J 299 172 :M 1.986 .199(advantage of the processor\325s ability to operate on)J 299 184 :M 1.251 .125(bytes or words at a time. For this reason it is more)J 299 196 :M -.001(common for software algorithms to use byte stuffing.)A 299 214 :M .727 .073(PPP uses a byte stuffing scheme [RFC1662]. It uses a)J 299 226 :M 1.579 .158(byte with value 0x7E \(the same as the HDLC Flag)J 299 238 :M 1.385 .139(Sequence\) to mark boundaries between packets. To)J 299 250 :M 2.926 .293(eliminate this value from the data payload, the)J 299 262 :M 1.882 .188(following transformation is used: everywhere that)J 299 274 :M .791 .079(0x7E appears in the data it is replaced with the two-)J 299 286 :M 2.411 .241(character sequence 0x7D,0x5E. 0x7D is called the)J 299 298 :M .977 .098(Control Escape byte. Everywhere that 0x7D appears)J 299 310 :M 2.57 .257(in the data it is replaced with the two-character)J 299 322 :M 3.257 .326(sequence 0x7D,0x5D. The receiver performs the)J 299 334 :M .763 .076(reverse process: whenever it sees the Control Escape)J 299 346 :M 2.479 .248(value \(0x7D\) it discards that byte and XORs the)J 299 358 :M -.002(following byte with 0x20 to recreate the original input.)A 299 376 :M 1.203 .12(On average this byte stuffing does reasonably well,)J 299 388 :M .973 .097(increasing the size of purely random data by a little)J 299 400 :M .41 .041(under 1%, but in the worst case it can double the size)J 299 412 :M .978 .098(of the data being encoded. This is much worse than)J 299 424 :M 1.84 .184(HDLC\325s worst case, but PPP byte stuffing has the)J 299 436 :M 2.167 .217(advantage that it can be implemented reasonably)J 299 448 :M (efficiently in software.)S 299 466 :M .836 .084(PPP\325s byte stuffing mechanism, in which the offend-)J 299 478 :M .412 .041(ing byte is prefixed with 0x7D and XORed with 0x20,)J 299 490 :M 1.044 .104(allows multiple byte values to be eliminated from a)J 299 502 :M .999 .1(packet. For example, PPP byte stuffing can facilitate)J 299 514 :M 1.535 .153(communication over a non-transparent network by)J 299 526 :M 1.32 .132(eliminating all ASCII control characters \(0x00-0x1F\))J 299 538 :M .061 .006(from the transmitted packet data. It is equally possible)J 299 550 :M 2.429 .243(to do this using a COBS-type algorithm, but the)J 299 562 :M 2.141 .214(subject of this paper is the minimal byte stuffing)J 299 574 :M 1.55 .155(necessary to facilitate reliable unambiguous packet)J 299 586 :M .196 .02(framing, not extensive byte stuffing to compensate for)J 299 598 :M -.002(non-transparency of the underlying network.)A 299 616 :M 1.879 .188(A more exhaustive treatment of framing and data)J 299 628 :M (stuffing can be found in [Che97].)S 299 654 :M f3_14 sf (3)S 306 654 :M (.)S 309 654 :M ( )S 321 654 :M (Consistent Overhead)S 321 670 :M (Byte Stuffing Algorithms)S 299 690 :M f1_10 sf .242 .024(We first provide an overview of the encoding used by)J 299 702 :M .107 .011(COBS and then describe the procedure for performing)J 299 714 :M .319 .032(that encoding. We conclude this section by describing)J endp %%PageTrailer %%Page: 4 4 %%BeginPageSetup initializepage (Stuart Cheshire; document: Microsoft Word - COBS; page: 4 of 12)setjob %%EndPageSetup gS 0 0 575 755 rC 272 736 :M f0_10 sf (\321 )S 285 736 :M (4)S 291 736 :M ( \321)S 36 194 :M f1_10 sf 2.325 .232(some of the properties and implications of using)J 36 206 :M 3.136 .314(COBS, particularly the fact that COBS can also)J 36 218 :M 1.483 .148(eliminate the overhead of lower-level byte framing)J 36 230 :M (and bit stuffing.)S 36 254 :M f3_12 sf (3)S 42 254 :M (.)S 45 254 :M (1)S 51 254 :M ( )S 58 254 :M (Overview)S 36 274 :M f1_10 sf .517 .052(COBS performs a reversible transformation on a data)J 36 286 :M .199 .02(packet to eliminate a particular byte value from it. We)J 36 298 :M .257 .026(pick zero as the value to eliminate, because zeroes are)J 36 310 :M .34 .034(common in computer data and COBS performs better)J 36 322 :M .739 .074(when it has many bytes to eliminate. However, with)J 36 334 :M .763 .076(only trivial changes any desired value may be elim)J 271 334 :M (i-)S 36 346 :M (nated, as described below.)S 36 364 :M .216 .022(COBS takes its input data and encodes it as a series of)J 36 376 :M 1.095 .109(variable length code blocks. Each code block begins)J 36 388 :M .051 .005(with a single code byte, followed by zero or more data)J 36 400 :M .386 .039(bytes. The number of data bytes is determined by the)J 36 412 :M 1.673 .167(code byte. Figure 1)J 127 412 :M 1.718 .172( shows some examples of valid)J 36 424 :M (code blocks.)S 36 442 :M .805 .081(Apart from one exception, the meaning of each code)J 36 454 :M .85 .085(block is that it represents the sequence of data bytes)J 36 466 :M .235 .024(contained within the code block, )J f2_10 sf .236 .024(followed by an implicit)J 36 478 :M (zero)S 53 478 :M f1_10 sf .179 .018(. The zero is implicit \321 it is not actually contained)J 36 490 :M .967 .097(within the sequence of data bytes in the code block.)J 36 502 :M 1.956 .196(That would defeat our purpose, which is that the)J 36 514 :M 2.864 .286(output data should contain no zero values. The)J 36 526 :M 2.914 .291(exception mentioned above is code 0xFF, which)J 36 538 :M .199 .02(represents a run of 254 non-zero data bytes )J 232 538 :M f2_10 sf (without)S 264 538 :M f1_10 sf .259 .026( an)J 36 550 :M .981 .098(implicit zero on the end. This code acts as a kind of)J 36 562 :M .545 .054(\324fail-safe\325 or \324escape hatch\325, allowing COBS to encode)J 36 574 :M .09 .009(long sequences of bytes that do not contain any zeroes)J 36 586 :M .182 .018(at all, which it would not otherwise be able to do. The)J 36 598 :M .47 .047(meanings of the various code values are summarized)J 36 610 :M (in Table 1.)S 36 628 :M 1.68 .168(COBS has the property that the byte value zero is)J 36 640 :M .641 .064(never used as a code byte, nor does it ever appear in)J 36 652 :M 1.181 .118(the data section of any code block. This means that)J 36 664 :M 1.255 .126(COBS takes an input consisting of characters in the)J 36 676 :M 1.465 .147(range [0,255] and produces an output consisting of)J 36 688 :M 1.737 .174(characters only in the range [1,255]. Having elimi-)J 36 700 :M 1.445 .145(nated all zero bytes from the data, a zero byte can)J 36 712 :M 2.263 .226(now be used unambiguously to mark boundaries)J 299 422 :M 1.42 .142(between packets. This allows the receiver to resy)J 531 422 :M (n-)S 299 434 :M 2.667 .267(chronize reliably with the beginning of the next)J 299 446 :M 1.144 .114(packet after an error. It also allows new listeners to)J 299 458 :M .141 .014(join a broadcast stream at any time and reliably detect)J 299 470 :M (where the next packet begins.)S 299 488 :M 1.189 .119(It is also simple to eliminate some value other than)J 299 500 :M .803 .08(zero from the data stream, should that be necessary.)J 299 512 :M .831 .083(For example, a radio interface that connects through)J 299 524 :M 1.955 .195(the serial port like a Hayes modem might use an)J 299 536 :M .896 .09(ASCII carriage return \(byte value 0x0D\) to mark the)J 299 548 :M 1.06 .106(end of each packet [Che95]. By taking the output of)J 299 560 :M 3.145 .315(COBS and XORing each byte with 0x0D before)J 299 572 :M 1.842 .184(sending it to the radio, the COBS output is easily)J 299 584 :M .917 .092(converted into a form suitable for transmission over)J 299 596 :M .494 .049(this radio device. The only value that gives the result)J 299 608 :M .323 .032(0x0D when XORed with 0x0D is zero, and since there)J 299 620 :M .063 .006(are no zeroes in the output from COBS, this procedure)J 299 632 :M 2.707 .271(cannot result in any occurrences of 0x0D in the)J 299 644 :M 1.308 .131(converted output. The receiver XORs each received)J 299 656 :M 1.01 .101(byte with 0x0D to reverse the transformation before)J 299 668 :M 1.489 .149(feeding it to the COBS decoder, so that the data is)J 299 680 :M .154 .015(decoded correctly. Of course, in real implementations,)J 299 692 :M 1.646 .165(the COBS encoding and the output conversion are)J 299 704 :M 2.325 .232(performed in a single loop for efficiency reasons)J 299 716 :M ([Cla90].)S .8 G 69 36 175 81 rC 70 37 14 13 rF 0 G .75 lw 69.5 36.5 15 14 rS 70 37 14 13 rC 70 48 :M f4_12 sf (0)S 77 48 :M (1)S gR .8 G gS 69 36 175 81 rC 70 59 14 13 rF 0 G .75 lw 69.5 58.5 15 14 rS 70 59 14 13 rC 70 70 :M f4_12 sf (0)S 77 70 :M (2)S gR 0 G .75 lw gS 69 36 175 81 rC 84.5 58.5 14 14 rS 85 59 13 13 rC 88 70 :M f4_12 sf (x)S gR .8 G gS 69 36 175 81 rC 70 80 14 14 rF 0 G 69.5 79.5 15 15 rS 70 80 14 14 rC 70 91 :M f4_12 sf (0)S 77 91 :M (3)S gR 0 G gS 69 36 175 81 rC 84.5 79.5 14 15 rS 85 80 13 14 rC 88 91 :M f4_12 sf (x)S gR gS 69 36 175 81 rC 98.5 79.5 14 15 rS 99 80 13 14 rC 102 91 :M f4_12 sf (y)S gR .8 G gS 69 36 175 81 rC 70 102 14 13 rF 0 G 69.5 101.5 15 14 rS 70 102 14 13 rC 70 113 :M f4_12 sf (0)S 77 113 :M (C)S gR 0 G gS 69 36 175 81 rC 84.5 101.5 14 14 rS 85 102 13 13 rC 88 113 :M f4_12 sf (H)S gR gS 69 36 175 81 rC 98.5 101.5 14 14 rS 99 102 13 13 rC 102 113 :M f4_12 sf (e)S gR gS 69 36 175 81 rC 112.5 101.5 15 14 rS 113 102 14 13 rC 116 113 :M f4_12 sf (l)S gR gS 69 36 175 81 rC 127.5 101.5 14 14 rS 128 102 13 13 rC 131 113 :M f4_12 sf (l)S gR gS 69 36 175 81 rC 141.5 101.5 15 14 rS 142 102 14 13 rC 145 113 :M f4_12 sf (o)S gR gS 69 36 175 81 rC 156.5 101.5 14 14 rS 170.5 101.5 14 14 rS 171 102 13 13 rC 174 113 :M f4_12 sf (W)S gR gS 69 36 175 81 rC 184.5 101.5 15 14 rS 185 102 14 13 rC 188 113 :M f4_12 sf (o)S gR gS 69 36 175 81 rC 199.5 101.5 14 14 rS 200 102 13 13 rC 203 113 :M f4_12 sf (r)S gR gS 69 36 175 81 rC 213.5 101.5 15 14 rS 214 102 14 13 rC 217 113 :M f4_12 sf (l)S gR gS 69 36 175 81 rC 228.5 101.5 14 14 rS 229 102 13 13 rC 232 113 :M f4_12 sf (d)S gR gS 27 36 259 130 rC 86 136 :M f3_10 sf (Figure )S 118 136 :M (1. Example Code Blocks)S 43 146 :M f1_8 sf .4 .04(COBS takes its input data and encodes it as a series of variable)J 43 155 :M .531 .053(length code blocks. Each code block begins with a single code)J 43 164 :M (byte \(shown shaded\), followed by zero or more data bytes.)S gR gS 284 36 271 359 rC 306 48 :M f1_9 sf (Code)S 342 48 :M (Followed by)S 421 48 :M (Meaning)S 300 36 2 2 rF 300 36 2 2 rF 302 36 34 2 rF 336 36 2 2 rF 338 36 77 2 rF 415 36 2 2 rF 417 36 120 2 rF 537 36 2 2 rF 537 36 2 2 rF 300 38 2 14 rF 336 38 1 14 rF 415 38 1 14 rF 537 38 2 14 rF 306 64 :M (0x00)S 342 64 :M (\(not applicable\))S 421 64 :M (\(not allowed\))S 300 52 2 2 rF 302 52 34 2 rF 336 52 2 2 rF 338 52 77 2 rF 415 52 2 2 rF 417 52 120 2 rF 537 52 2 2 rF 300 54 2 23 rF 336 54 1 23 rF 415 54 1 23 rF 537 54 2 23 rF 306 88 :M (0x01)S 342 88 :M (nothing)S 421 88 :M (A single zero byte)S 300 77 2 1 rF 302 77 34 1 rF 336 77 1 1 rF 337 77 78 1 rF 415 77 1 1 rF 416 77 121 1 rF 537 77 2 1 rF 300 78 2 23 rF 336 78 1 23 rF 415 78 1 23 rF 537 78 2 23 rF 306 112 :M (0x02)S 342 112 :M (one data byte)S 421 112 :M (The single data byte,)S 421 121 :M (followed by a single zero)S 300 101 2 1 rF 302 101 34 1 rF 336 101 1 1 rF 337 101 78 1 rF 415 101 1 1 rF 416 101 121 1 rF 537 101 2 1 rF 300 102 2 23 rF 336 102 1 23 rF 415 102 1 23 rF 537 102 2 23 rF 306 136 :M (0x03)S 342 136 :M (two data bytes)S 421 136 :M (The pair of data bytes,)S 421 145 :M (followed by a single zero)S 300 125 2 1 rF 302 125 34 1 rF 336 125 1 1 rF 337 125 78 1 rF 415 125 1 1 rF 416 125 121 1 rF 537 125 2 1 rF 300 126 2 23 rF 336 126 1 23 rF 415 126 1 23 rF 537 126 2 23 rF 306 160 :M (0x04)S 342 160 :M (three data bytes)S 421 160 :M (The three data bytes,)S 421 169 :M (followed by a single zero)S 300 149 2 1 rF 302 149 34 1 rF 336 149 1 1 rF 337 149 78 1 rF 415 149 1 1 rF 416 149 121 1 rF 537 149 2 1 rF 300 150 2 23 rF 336 150 1 23 rF 415 150 1 23 rF 537 150 2 23 rF 306 184 :M f2_9 sf (n)S 342 184 :M f1_9 sf <28>S 345 184 :M f2_9 sf (n)S f1_9 sf (-1\) data bytes)S 421 184 :M (The \()S f2_9 sf (n)S f1_9 sf (-1\) data bytes,)S 421 193 :M (followed by a single zero)S 300 173 2 1 rF 302 173 34 1 rF 336 173 1 1 rF 337 173 78 1 rF 415 173 1 1 rF 416 173 121 1 rF 537 173 2 1 rF 300 174 2 23 rF 336 174 1 23 rF 415 174 1 23 rF 537 174 2 23 rF 306 208 :M (0xFD)S 342 208 :M (252 data bytes)S 421 208 :M (The 252 data bytes,)S 421 217 :M (followed by a single zero)S 300 197 2 1 rF 302 197 34 1 rF 336 197 1 1 rF 337 197 78 1 rF 415 197 1 1 rF 416 197 121 1 rF 537 197 2 1 rF 300 198 2 23 rF 336 198 1 23 rF 415 198 1 23 rF 537 198 2 23 rF 306 232 :M (0xFE)S 342 232 :M (253 data bytes)S 421 232 :M (The 253 data bytes,)S 421 241 :M (followed by a single zero)S 300 221 2 1 rF 302 221 34 1 rF 336 221 1 1 rF 337 221 78 1 rF 415 221 1 1 rF 416 221 121 1 rF 537 221 2 1 rF 300 222 2 23 rF 336 222 1 23 rF 415 222 1 23 rF 537 222 2 23 rF 306 256 :M (0xFF)S 342 256 :M (254 data bytes)S 421 256 :M (The 254 data bytes,)S 421 265 :M f3_9 sf (not)S 435 265 :M f1_9 sf ( followed by a zero)S 300 245 2 1 rF 302 245 34 1 rF 336 245 1 1 rF 337 245 78 1 rF 415 245 1 1 rF 416 245 121 1 rF 537 245 2 1 rF 300 246 2 23 rF 300 269 2 2 rF 300 269 2 2 rF 302 269 34 2 rF 336 246 1 23 rF 336 269 2 2 rF 338 269 77 2 rF 415 246 1 23 rF 415 269 2 2 rF 417 269 120 2 rF 537 246 2 23 rF 537 269 2 2 rF 537 269 2 2 rF 353 290 :M f3_10 sf (Table )S 382 290 :M (1. Code values used by)S 339 302 :M (Consistent Overhead Byte Stuffing)S 306 312 :M f1_8 sf .582 .058(Apart from one exception, a code byte value of )J 482 312 :M f2_8 sf .159(n)A f1_8 sf .5 .05( represents a)J 306 321 :M .823 .082(sequence of )J 352 321 :M f2_8 sf .299(n)A f1_8 sf .695 .07( bytes that ends with a zero. The \()J f2_8 sf .299(n)A f1_8 sf 1.376 .138(-1\) non-zero)J 306 330 :M 1.568 .157(bytes are placed immediately after the code byte; the final)J 306 339 :M 1.022 .102(trailing zero is implicit. Note that this means that )J 496 339 :M f2_8 sf .42(n)A f1_8 sf 1.002 .1( bytes of)J 306 348 :M .479 .048(code \(a code byte plus \()J f2_8 sf .189(n)A f1_8 sf .522 .052(-1\) data bytes\) are used to encode the)J 306 357 :M .031 .003(same number of bytes \321 )J 397 357 :M f2_8 sf (n)S f1_8 sf .029 .003( bytes \321 from the source data, which)J 306 366 :M .597 .06(gives zero encoding overhead. The one exception is code byte)J 306 375 :M .665 .066(0xFF, in which case 255 output bytes are used to encode a s)J 527 375 :M (e-)S 306 384 :M .692 .069(quence of 254 bytes from the source data, giving an encoding)J 306 393 :M (overhead of )S f1_5 sf 0 -3 rm (1)S 0 3 rm 353 393 :M f1_8 sf (/)S 358 395 :M f1_5 sf (254)S 366 393 :M f1_8 sf ( \(a little under 0.4%\) in that case.)S endp %%PageTrailer %%Page: 5 5 %%BeginPageSetup initializepage (Stuart Cheshire; document: Microsoft Word - COBS; page: 5 of 12)setjob %%EndPageSetup gS 0 0 575 755 rC 272 736 :M f0_10 sf (\321 )S 285 736 :M (5)S 291 736 :M ( \321)S 36 46 :M f1_10 sf 1.918 .192(For the remainder of this paper we will consider,)J 36 58 :M .127 .013(without loss of generality, only the case of eliminating)J 36 70 :M .102 .01(zeroes from the data. The process described above can)J 36 82 :M 1.024 .102(be used in any case where a different value is to be)J 36 94 :M (eliminated.)S 36 118 :M f3_12 sf (3)S 42 118 :M (.)S 45 118 :M (2)S 51 118 :M ( )S 58 118 :M (Encoding Procedure for COBS)S 36 138 :M f1_10 sf 1.236 .124(The job of the COBS encoder is to break the packet)J 36 150 :M 1.493 .149(into one or more sequences of non-zero bytes. The)J 36 162 :M .581 .058(encoding routine searches through the first 254 bytes)J 36 174 :M .332 .033(of the packet looking for the first occurrence of a zero)J 36 186 :M .048 .005(byte. If no zero is found, then a code of 0xFF is output,)J 36 198 :M .224 .022(followed by the 254 non-zero bytes. If a zero is found,)J 36 210 :M .013 .001(then the number of bytes examined, )J 198 210 :M f2_10 sf (n)S 204 210 :M f1_10 sf .016 .002(, is output as the)J 36 222 :M .918 .092(code byte, followed by the actual values of the \()J f2_10 sf (n)S 265 222 :M f1_10 sf (-1\))S 36 234 :M .129 .013(non-zero bytes up to \(but not including\) the zero byte.)J 36 246 :M 2.042 .204(This process is repeated until all the bytes of the)J 36 258 :M (packet have been encoded.)S 36 276 :M .862 .086(The one minor problem with this simple description)J 36 288 :M .839 .084(of the algorithm is that the last sequence of a packet)J 36 300 :M 1.266 .127(must either end with a zero byte, or be exactly 254)J 36 312 :M .442 .044(bytes long. This is not true for all packets. To circu)J 265 312 :M (m-)S 36 324 :M .076 .008(vent this problem, a zero byte is logically appended to)J 36 336 :M .464 .046(the end of every packet before encoding; after deco)J 268 336 :M (d-)S 36 348 :M 1.916 .192(ing, the final zero of every packet is discarded to)J 36 360 :M .225 .023(correctly recreate the original input data. This ensures)J 36 372 :M .688 .069(that all packets do end with a zero and are therefore)J 36 384 :M .266 .027(encodable. It is not necessary actually to add this zero)J 36 396 :M .128 .013(byte to the end of the packet in memory; the encoding)J 36 408 :M 1.709 .171(routine simply has to behave as if the added zero)J 36 420 :M .532 .053(were there. As an optional optimization, packets that)J 36 432 :M .756 .076(when encoded happen to end with a final code 0xFF)J 36 444 :M .816 .082(block \(sequence without a final zero\) do not need to)J 36 456 :M .986 .099(have a final zero logically appended. This optimiza-)J 36 468 :M .08 .008(tion can be performed without ambiguity, because the)J 36 480 :M .1 .01(receiver will observe that the decoded packet does not)J 36 492 :M .023 .002(end with a zero, and hence will realize that in this case)J 36 504 :M 1.272 .127(there is no trailing zero to be discarded in order to)J 36 516 :M 1.456 .146(recreate the original input data. )J 190 516 :M 1.578 .158(Figure 2 shows an)J 36 528 :M (example of packet encoding.)S 36 546 :M 2.204 .22(The implementation of COBS is very simple. The)J 36 558 :M .393 .039(Appendix to this paper gives complete C source code)J 36 570 :M 1.106 .111(listings to perform both COBS encoding and decod-)J 36 582 :M .648 .065(ing. Both algorithms have running time that is linear)J 36 594 :M .766 .077(with respect to packet size, and can be implemented)J 36 606 :M .759 .076(in extremely simple hardware. No multiplications or)J 36 618 :M 1.178 .118(divisions are required, nor are additions or subtrac-)J 36 630 :M .13 .013(tions. Both algorithms can be implemented using only)J 36 642 :M -.001(assignment, increment, and test for equal)A 218 642 :M (ity.)S 36 660 :M 1.448 .145(One aspect of COBS that differs from conventional)J 36 672 :M 1.523 .152(two-for-one substitution encodings like PPP is that)J 36 684 :M .029 .003(PPP operates on a single byte at a time, whereas COBS)J 36 696 :M .737 .074(has to \324look ahead\325 up to 254 bytes. In the context of)J 36 708 :M .853 .085(thinking about network data as a continuous stream)J 299 169 :M 2.727 .273(of bytes, this suggests that COBS requires more)J 299 181 :M 1.289 .129(buffering and consequently adds more delay to the)J 299 193 :M 2.722 .272(stream than PPP does. However, thinking about)J 299 205 :M .712 .071(network data as a continuous stream of bytes can be)J 299 217 :M 1.781 .178(misleading. While it is true that hardware usually)J 299 229 :M .929 .093(transmits data serially, it is much more common for)J 299 241 :M .601 .06(programming interfaces to operate a packet at a time)J 299 253 :M 2.138 .214(rather than a byte at a time. When the operating)J 299 265 :M 1.951 .195(system has a packet to send, it does not slice the)J 299 277 :M .009 .001(packet into single bytes and hand them to the network)J 299 289 :M .422 .042(device driver one at a time; it makes a single call that)J 299 301 :M .351 .035(passes the entire packet to the driver. The driver then)J 299 313 :M 1.2 .12(has access to the entire packet, which it can encode)J 299 325 :M (and send immedi)S 376 325 :M (ately.)S 299 349 :M f3_12 sf (3)S 305 349 :M (.)S 308 349 :M (3)S 314 349 :M ( )S 321 349 :M (Behavior of COBS)S 299 369 :M f1_10 sf .762 .076(The low overhead of COBS is due to the fact that, in)J 299 381 :M .841 .084(most cases, the size of each code block is exactly the)J 299 393 :M 2.076 .208(same as the size of the data sequence it encodes.)J 299 405 :M 1.102 .11(Consider a sequence of )J 411 405 :M f2_10 sf (n)S 417 405 :M f1_10 sf 1.062 .106( input bytes \()J f2_10 sf (n)S 486 405 :M f1_10 sf 1.253 .125( \262 254\) that)J 299 417 :M .109 .011(consists of \()J 352 417 :M f2_10 sf (n)S 358 417 :M f1_10 sf .108 .011(-1\) non-zero bytes, and a single zero byte)J 299 429 :M 1.519 .152(at the end. That sequence is encoded using a code)J 299 441 :M 1.495 .149(block containing a single code byte, and \()J 498 441 :M f2_10 sf (n)S 504 441 :M f1_10 sf 1.394 .139(-1\) data)J 299 453 :M .525 .053(bytes. Hence )J 360 453 :M f2_10 sf (n)S 366 453 :M f1_10 sf .52 .052( input bytes are encoded using exactly)J 299 465 :M f2_10 sf (n)S 305 465 :M f1_10 sf .892 .089( output bytes, so the output size is the same as the)J 299 477 :M (input size.)S 299 495 :M 2.499 .25(The worst cases for PPP and for COBS occur in)J 299 507 :M .005 .001(opposite circumstances. For PPP, the pathological case)J 299 519 :M .717 .072(where the packet consists entirely of reserved values)J 299 531 :M .116 .012(\(0x7D or 0x7E\) is the case that results in the size of the)J 299 543 :M 1.951 .195(packet being doubled. For COBS, the pathological)J 299 555 :M .489 .049(case is the opposite case \321 the case where the packet)J 299 567 :M .746 .075(contains no occurrences of the reserved value \(zero\).)J 299 579 :M .595 .059(In this case, each 254 bytes of packet data is encoded)J 299 591 :M .031 .003(using 255 bytes of output data \321 one code byte \(0xFF\))J 299 603 :M .737 .074(and the 254 non-zero data bytes. This encoding ratio)J 299 615 :M .04 .004(of 255 output bytes for every 254 input bytes results in)J 299 627 :M 2.164 .216(an overhead of about 0.4% for large packets. For)J 299 639 :M .88 .088(COBS, the case where the packet consists entirely of)J 299 651 :M .584 .058(the reserved value \(zero\) is not a pathological case at)J 299 663 :M .078 .008(all. Every zero byte is encoded using just a single code)J 299 675 :M (byte, resulting in zero overhead.)S 299 693 :M 2.251 .225(The property that COBS has at most one byte of)J 299 705 :M 1.188 .119(overhead for every 254 bytes of packet data is very)J 299 717 :M .995 .1(good for large packets, but has an unfortunate side-)J 519 36 16 15 rC 519 47 :M f4_10 sf (0)S 525 47 :M (0)S gR .75 lw gS 303 36 232 38 rC 346.5 36.5 15 14 rS 347 37 14 13 rC 347 47 :M f4_10 sf (4)S 353 47 :M (5)S gR gS 303 36 232 38 rC 361.5 36.5 14 14 rS 362 37 13 13 rC 362 47 :M f4_10 sf (0)S 368 47 :M (0)S gR gS 303 36 232 38 rC 375.5 36.5 15 14 rS 376 37 14 13 rC 376 47 :M f4_10 sf (0)S 382 47 :M (0)S gR gS 303 36 232 38 rC 390.5 36.5 14 14 rS 391 37 13 13 rC 391 47 :M f4_10 sf (2)S 397 47 :M (C)S gR gS 303 36 232 38 rC 404.5 36.5 14 14 rS 405 37 13 13 rC 405 47 :M f4_10 sf (4)S 411 47 :M (C)S gR gS 303 36 232 38 rC 418.5 36.5 15 14 rS 419 37 14 13 rC 419 47 :M f4_10 sf (7)S 425 47 :M (9)S gR gS 303 36 232 38 rC 433.5 36.5 14 14 rS 434 37 13 13 rC 434 47 :M f4_10 sf (0)S 440 47 :M (0)S gR gS 303 36 232 38 rC 447.5 36.5 15 14 rS 448 37 14 13 rC 448 47 :M f4_10 sf (0)S 454 47 :M (0)S gR gS 303 36 232 38 rC 462.5 36.5 14 14 rS 463 37 13 13 rC 463 47 :M f4_10 sf (4)S 469 47 :M (0)S gR gS 303 36 232 38 rC 476.5 36.5 14 14 rS 477 37 13 13 rC 477 47 :M f4_10 sf (0)S 483 47 :M (6)S gR gS 303 36 232 38 rC 490.5 36.5 15 14 rS 491 37 14 13 rC 491 47 :M f4_10 sf (4)S 497 47 :M (F)S gR gS 303 36 232 38 rC 505.5 36.5 14 14 rS 506 37 13 13 rC 506 47 :M f4_10 sf (3)S 512 47 :M (7)S gR gS 303 58 44 15 rC 303 70 :M f5_12 sf (O)S 311 70 :M (u)S 317 70 :M (t)S 320 70 :M (p)S 326 70 :M (u)S 332 70 :M (t)S 335 70 :M (:)S gR gS 303 36 44 15 rC 303 48 :M f5_12 sf (I)S 307 48 :M (n)S 313 48 :M (p)S 319 48 :M (u)S 325 48 :M (t)S 328 48 :M (:)S gR .8 G gS 303 36 232 38 rC 347 59 14 13 rF 0 G 346.5 58.5 15 14 rS 347 59 14 13 rC 347 69 :M f4_10 sf (0)S 353 69 :M (2)S gR 0 G gS 303 36 232 38 rC 361.5 58.5 14 14 rS 362 59 13 13 rC 362 69 :M f4_10 sf (4)S 368 69 :M (5)S gR .8 G gS 303 36 232 38 rC 376 59 14 13 rF 0 G 375.5 58.5 15 14 rS 376 59 14 13 rC 376 69 :M f4_10 sf (0)S 382 69 :M (1)S gR gS 303 36 232 38 rC 391 59 13 13 rF 0 G 390.5 58.5 14 14 rS 391 59 13 13 rC 391 69 :M f4_10 sf (0)S 397 69 :M (4)S gR 0 G gS 303 36 232 38 rC 404.5 58.5 14 14 rS 405 59 13 13 rC 405 69 :M f4_10 sf (2)S 411 69 :M (C)S gR gS 303 36 232 38 rC 418.5 58.5 15 14 rS 419 59 14 13 rC 419 69 :M f4_10 sf (4)S 425 69 :M (C)S gR gS 303 36 232 38 rC 433.5 58.5 14 14 rS 434 59 13 13 rC 434 69 :M f4_10 sf (7)S 440 69 :M (9)S gR .8 G gS 303 36 232 38 rC 448 59 14 13 rF 0 G 447.5 58.5 15 14 rS 448 59 14 13 rC 448 69 :M f4_10 sf (0)S 454 69 :M (1)S gR gS 303 36 232 38 rC 463 59 13 13 rF 0 G 462.5 58.5 14 14 rS 463 59 13 13 rC 463 69 :M f4_10 sf (0)S 469 69 :M (5)S gR 0 G gS 303 36 232 38 rC 476.5 58.5 14 14 rS 477 59 13 13 rC 477 69 :M f4_10 sf (4)S 483 69 :M (0)S gR gS 303 36 232 38 rC 490.5 58.5 15 14 rS 491 59 14 13 rC 491 69 :M f4_10 sf (0)S 497 69 :M (6)S gR gS 303 36 232 38 rC 505.5 58.5 14 14 rS 506 59 13 13 rC 506 69 :M f4_10 sf (4)S 512 69 :M (F)S gR gS 303 36 232 38 rC 519.5 58.5 15 14 rS 520 59 14 13 rC 520 69 :M f4_10 sf (3)S 526 69 :M (7)S gR gS 290 36 259 105 rC 356 93 :M f3_10 sf (Figure )S 388 93 :M (2. Example Encoding)S 306 103 :M f1_8 sf 1.334 .133(The input data is shown with a phantom zero logically ap-)J 306 112 :M 1.12 .112(pended to the end. The encoded form is shown below, with)J 306 121 :M 1.251 .125(code bytes shaded. Note that the encoded form contains no)J 306 130 :M .329 .033(zeroes and that it is exactly one byte longer than the input \(not)J 306 139 :M (counting the phantom zero\).)S endp %%PageTrailer %%Page: 6 6 %%BeginPageSetup initializepage (Stuart Cheshire; document: Microsoft Word - COBS; page: 6 of 12)setjob %%EndPageSetup gS 0 0 575 755 rC 272 736 :M f0_10 sf (\321 )S 285 736 :M (6)S 291 736 :M ( \321)S 36 46 :M f1_10 sf 1.666 .167(effect for small packets. Every packet 254 bytes or)J 36 58 :M -.001(smaller always incurs exactly one byte of ove)A 236 58 :M (r)S 240 58 :M (head.)S 36 76 :M .16 .016(We regard one byte of overhead for small IP packets a)J 36 88 :M 2.059 .206(small price to pay in exchange for the significant)J 36 100 :M 1.657 .166(performance gains we get from the ability to send)J 36 112 :M 2.304 .23(much larger IP packets than would otherwise be)J 36 124 :M 2.66 .266(possible. However, there could be circumstances)J 36 136 :M 1.286 .129(where any cost, however small, is unacceptable. To)J 36 148 :M .399 .04(address this concern we have also experimented with)J 36 160 :M .837 .084(a minor modification to basic COBS called Zero Pair)J 36 172 :M .462 .046(Elimination \(ZPE\), which exhibits better performance)J 36 184 :M -.001(for small packets, as described in the next section.)A 36 208 :M f3_12 sf (3)S 42 208 :M (.)S 45 208 :M (4)S 51 208 :M ( )S 58 208 :M (Zero Pair Elimination)S 36 228 :M f1_10 sf .52 .052(In our experiments on real-world data \(see Section )J 269 228 :M (5\))S 36 240 :M .464 .046(we observed that not only is zero a common value in)J 36 252 :M .017 .002(Internet traffic, but that adjacent pairs of zeros are also)J 36 264 :M 1.288 .129(very common, especially in the IP headers of small)J 36 276 :M .987 .099(packets. To take advantage of this we shortened the)J 36 288 :M 1.347 .135(maximum encodable sequence length, freeing some)J 36 300 :M .69 .069(codes for other uses. These codes were reassigned to)J 36 312 :M 2.391 .239(indicate sequences ending with a )J f2_10 sf .537(pair)A f1_10 sf 2.063 .206( of implicit)J 36 324 :M 2.625 .262(zeroes. The reduction in the maximum sequence)J 36 336 :M 1.312 .131(length increases the worst-case overhead, so we do)J 36 348 :M .22 .022(not wish to reduce the maximum length by too much.)J 36 360 :M .623 .062(Empirically we found that reassigning 31 codes gave)J 36 372 :M 1.379 .138(good performance while still maintaining a reaso)J 268 372 :M (n-)S 36 384 :M (able worst-case bound.)S 36 402 :M 1.75 .175(Codes 0x00 to 0xDF have the same meaning as in)J 36 414 :M 1.418 .142(basic COBS, and code 0xE0 encodes the new maxi-)J 36 426 :M .073 .007(mum length sequence of 223 bytes without an implicit)J 36 438 :M .895 .089(zero on the end. This gives COBS/ZPE a worst-case)J 36 450 :M 2.034 .203(overhead of one byte in 223. Codes 0xE1 to 0xFF)J 36 462 :M 1.439 .144(encode sequences that end with an implicit pair of)J 36 474 :M .373 .037(zeroes, containing, respectively, 0 to 30 non-zero data)J 36 486 :M (bytes.)S 36 504 :M .086 .009(This has the good property that now some of our code)J 36 516 :M 1.352 .135(blocks are )J 87 516 :M f2_10 sf .287(smaller)A f1_10 sf 1.103 .11( than the data they encode, which)J 36 528 :M .145 .014(helps mitigate the one-byte overhead that COBS adds.)J 36 540 :M .209 .021(Figure 3 shows an example of a small packet \(actually)J 36 552 :M .774 .077(the beginning of a real IPv4 packet header\) that gets)J 36 564 :M 3.192 .319(one byte smaller as a result of encoding using)J 36 576 :M .375 .037(COBS/ZPE. The disadvantage of using COBS/ZPE is)J 36 588 :M .457 .046(a slightly poorer worst-case overhead \321 about 0.45%)J 36 600 :M .306 .031(instead of 0.40% \321 but this is still a very small worst-)J 36 612 :M .225 .022(case overhead. In fact, as described in Section )J 242 612 :M .222 .022(5, when)J 36 624 :M .373 .037(a typical mix of real-world network traffic is encoded)J 36 636 :M 1.463 .146(using COBS/ZPE, it actually gets smaller by about)J 36 648 :M .545 .054(1%. PPP byte stuffing cannot compete with this since)J 36 660 :M (PPP never makes any packet smaller.)S 36 678 :M 2.63 .263(COBS/ZPE is useful because pairs of zeroes are)J 36 690 :M 1.082 .108(common in packet headers. Also, the trend towards)J 36 702 :M 1.199 .12(aligning packet fields on 64-bit boundaries in high-)J 36 714 :M .751 .075(performance protocols sometimes results in padding)J 299 181 :M 1.561 .156(zeroes between fields. These padding zeroes waste)J 299 193 :M .283 .028(precious bandwidth on slow wireless links, and using)J 299 205 :M .696 .07(COBS/ZPE can help to mitigate this effect by encod-)J 299 217 :M -.002(ing these patterns more efficiently.)A 299 235 :M 4.003 .4(We have avoided using more computationally)J 299 247 :M .984 .098(expensive compression algorithms such as Huffman)J 299 259 :M 1.582 .158(encoding [Huff52] [Knu85] and Lempel Ziv [LZ77])J 299 271 :M 1.926 .193([Wel84]. Although, like PPP, they may have good)J 299 283 :M 1.35 .135(average performance, for some data they can make)J 299 295 :M 1.688 .169(the packet bigger instead of smaller [Hum81], and)J 299 307 :M .526 .053(that is contrary to our goal of ensuring a tight bound)J 299 319 :M 2.493 .249(on worst-case performance. We also believe it is)J 299 331 :M .198 .02(inappropriate to attempt heavyweight compression at)J 299 343 :M 1.344 .134(the link layer. The majority of compressible data is)J 299 355 :M 2.283 .228(much more effectively compressed before it even)J 299 367 :M 1.74 .174(reaches the IP layer using data-specific algorithms)J 299 379 :M 2.872 .287(such as JPEG [ISO10918] for images and MPEG)J 299 391 :M .916 .092([ISO11172] for video. Finally, we expect to see more)J 299 403 :M .474 .047(Internet traffic being encrypted in the future, particu-)J 299 415 :M .77 .077(larly traffic over wireless links, and it is not possible)J 299 427 :M .208 .021(to compress data after it has been properly encrypted.)J 299 439 :M 1.435 .143(ZPE is a lightweight technique that works well for)J 299 451 :M 1.135 .113(small packets that contain zero pairs, without sacri-)J 299 463 :M 2.306 .231(ficing the benefit of a tight bound on worst-case)J 299 475 :M (overhead for large packets that do not.)S 299 499 :M f3_12 sf (3)S 305 499 :M (.)S 308 499 :M (5)S 314 499 :M ( )S 321 499 :M (Lower-level Framing)S 299 519 :M f1_10 sf 1.869 .187(COBS is defined in terms of byte operations. This)J 299 531 :M 1.342 .134(means that there also needs to be some underlying)J 299 543 :M .078 .008(mechanism to detect correctly where the byte bound)J 532 543 :M (a-)S 299 555 :M .944 .094(ries fall in the bit-stream. When used over an RS232)J 299 567 :M .092 .009(serial port, the start/stop bits perform this function, at)J 299 579 :M 2.664 .266(a cost of 20% extra overhead. HDLC framing is)J 299 591 :M .05 .005(usually more efficient than this, but it too, in the worst)J 299 603 :M .058 .006(case, can add as much as 20% overhead. The benefit of)J 299 615 :M 2.884 .288(COBS having such a tight bound on worst-case)J 299 627 :M .598 .06(overhead at the byte level is somewhat diminished if)J 299 639 :M .523 .052(the bit-level framing it depends upon is not similarly)J 299 651 :M (well behaved.)S 299 669 :M .776 .078(Fortunately, bit-level framing of COBS-encoded data)J 299 681 :M 1.273 .127(can be performed with no additional variable ove)J 533 681 :M (r-)S 299 693 :M 1.953 .195(head, simply by choosing an appropriate bit-level)J 299 705 :M 1.964 .196(framing pattern: one that is known not to appear)J 299 717 :M 2.71 .271(anywhere in COBS-encoded data. If the framing)J 1 G .75 lw 303 36 232 38 rC 519.5 36.5 15 14 rS 520 37 14 13 rC 520 47 :M 0 G f4_10 sf (0)S 526 47 :M (0)S gR .75 lw gS 303 36 232 38 rC 346.5 36.5 15 14 rS 347 37 14 13 rC 347 47 :M f4_10 sf (4)S 353 47 :M (5)S gR gS 303 36 232 38 rC 361.5 36.5 14 14 rS 362 37 13 13 rC 362 47 :M f4_10 sf (0)S 368 47 :M (0)S gR gS 303 36 232 38 rC 375.5 36.5 15 14 rS 376 37 14 13 rC 376 47 :M f4_10 sf (0)S 382 47 :M (0)S gR gS 303 36 232 38 rC 390.5 36.5 14 14 rS 391 37 13 13 rC 391 47 :M f4_10 sf (2)S 397 47 :M (C)S gR gS 303 36 232 38 rC 404.5 36.5 14 14 rS 405 37 13 13 rC 405 47 :M f4_10 sf (4)S 411 47 :M (C)S gR gS 303 36 232 38 rC 418.5 36.5 15 14 rS 419 37 14 13 rC 419 47 :M f4_10 sf (7)S 425 47 :M (9)S gR gS 303 36 232 38 rC 433.5 36.5 14 14 rS 434 37 13 13 rC 434 47 :M f4_10 sf (0)S 440 47 :M (0)S gR gS 303 36 232 38 rC 447.5 36.5 15 14 rS 448 37 14 13 rC 448 47 :M f4_10 sf (0)S 454 47 :M (0)S gR gS 303 36 232 38 rC 462.5 36.5 14 14 rS 463 37 13 13 rC 463 47 :M f4_10 sf (4)S 469 47 :M (0)S gR gS 303 36 232 38 rC 476.5 36.5 14 14 rS 477 37 13 13 rC 477 47 :M f4_10 sf (0)S 483 47 :M (6)S gR gS 303 36 232 38 rC 490.5 36.5 15 14 rS 491 37 14 13 rC 491 47 :M f4_10 sf (4)S 497 47 :M (F)S gR gS 303 36 232 38 rC 505.5 36.5 14 14 rS 506 37 13 13 rC 506 47 :M f4_10 sf (3)S 512 47 :M (7)S gR gS 303 58 44 15 rC 303 70 :M f5_12 sf (O)S 311 70 :M (u)S 317 70 :M (t)S 320 70 :M (p)S 326 70 :M (u)S 332 70 :M (t)S 335 70 :M (:)S gR gS 303 36 44 15 rC 303 48 :M f5_12 sf (I)S 307 48 :M (n)S 313 48 :M (p)S 319 48 :M (u)S 325 48 :M (t)S 328 48 :M (:)S gR .8 G gS 303 36 232 38 rC 347 59 14 13 rF 0 G 346.5 58.5 15 14 rS 347 59 14 13 rC 347 69 :M f4_10 sf (E)S 353 69 :M (2)S gR 0 G gS 303 36 232 38 rC 361.5 58.5 14 14 rS 362 59 13 13 rC 362 69 :M f4_10 sf (4)S 368 69 :M (5)S gR .8 G gS 303 36 232 38 rC 376 59 14 13 rF 0 G 375.5 58.5 15 14 rS 376 59 14 13 rC 376 69 :M f4_10 sf (E)S 382 69 :M (4)S gR 0 G gS 303 36 232 38 rC 390.5 58.5 14 14 rS 391 59 13 13 rC 391 69 :M f4_10 sf (2)S 397 69 :M (C)S gR gS 303 36 232 38 rC 404.5 58.5 14 14 rS 405 59 13 13 rC 405 69 :M f4_10 sf (4)S 411 69 :M (C)S gR gS 303 36 232 38 rC 418.5 58.5 15 14 rS 419 59 14 13 rC 419 69 :M f4_10 sf (7)S 425 69 :M (9)S gR .8 G gS 303 36 232 38 rC 434 59 13 13 rF 0 G 433.5 58.5 14 14 rS 434 59 13 13 rC 434 69 :M f4_10 sf (0)S 440 69 :M (5)S gR 0 G gS 303 36 232 38 rC 447.5 58.5 15 14 rS 448 59 14 13 rC 448 69 :M f4_10 sf (4)S 454 69 :M (0)S gR gS 303 36 232 38 rC 462.5 58.5 14 14 rS 463 59 13 13 rC 463 69 :M f4_10 sf (0)S 469 69 :M (6)S gR gS 303 36 232 38 rC 476.5 58.5 14 14 rS 477 59 13 13 rC 477 69 :M f4_10 sf (4)S 483 69 :M (F)S gR gS 303 36 232 38 rC 490.5 58.5 15 14 rS 491 59 14 13 rC 491 69 :M f4_10 sf (3)S 497 69 :M (7)S gR gS 290 36 259 117 rC 344 93 :M f3_10 sf (Figure )S 376 93 :M (3. Example Encoding with)S 369 105 :M (Zero-Pair Elimination)S 306 115 :M f1_8 sf 1.334 .133(The input data is shown with a phantom zero logically ap-)J 306 124 :M 1.572 .157(pended to the end. The encoded form using COBS/ZPE is)J 306 133 :M .685 .068(shown below, with code bytes shaded. Note that the encoded)J 306 142 :M .21 .021(form contains no zeroes, and that it is one byte shorter than the)J 306 151 :M (input \(not counting the phantom zero\).)S endp %%PageTrailer %%Page: 7 7 %%BeginPageSetup initializepage (Stuart Cheshire; document: Microsoft Word - COBS; page: 7 of 12)setjob %%EndPageSetup gS 0 0 575 755 rC 272 736 :M f0_10 sf (\321 )S 285 736 :M (7)S 291 736 :M ( \321)S 36 46 :M f1_10 sf .523 .052(pattern cannot inadvertently appear, there is no need)J 36 58 :M -.001(for any bit stuffing mechanism to eliminate it.)A 36 76 :M 1.383 .138(The choice of framing pattern is easy. Since COBS-)J 36 88 :M 1.191 .119(encoded data contains no zero bytes, we know that)J 36 100 :M .399 .04(there is at least one binary \3241\325 bit somewhere in every)J 36 112 :M 2.953 .295(byte. This means that in a bit-stream of COBS-)J 36 124 :M .361 .036(encoded data there can be no contiguous run of more)J 36 136 :M 1.445 .144(than fourteen zero bits, which suggests an obvious)J 36 148 :M .911 .091(candidate for the COBS end-of-packet marker: a run)J 36 160 :M 1.649 .165(of fifteen \(or more\) zero bits, followed by a single)J 36 172 :M 2.326 .233(binary \3241\325 bit to signal the beginning of the next)J 36 184 :M .616 .062(packet. Used this way, COBS guarantees a very tight)J 36 196 :M .773 .077(bound, not only on the number of bytes, but also on)J 36 208 :M 1.191 .119(the total number of bits required to transmit a data)J 36 220 :M (packet.)S 36 238 :M 1.318 .132(Some kinds of network hardware cannot send long)J 36 250 :M 2.58 .258(runs of zero bits reliably, and in these cases bit)J 36 262 :M 1.357 .136(stuffing is used not only for framing purposes, but)J 36 274 :M .874 .087(also to impose a bound on the maximum number of)J 36 286 :M .692 .069(consecutive zero bits that can appear. Providing that)J 36 298 :M .84 .084(the length limit imposed by the hardware is not less)J 36 310 :M 1.53 .153(that fourteen zero bits, COBS encoded data can be)J 36 322 :M 1.075 .108(sent reliably without requiring any further bit stuff-)J 36 334 :M (ing.)S 36 360 :M f3_14 sf (4)S 43 360 :M (.)S 46 360 :M ( )S 58 360 :M (Theoretical Analysis)S 36 380 :M f1_10 sf .825 .082(In this section we compare the best case, worst case,)J 36 392 :M .092 .009(and average case encoding overhead, given uniformly)J 36 404 :M .659 .066(distributed random data, for COBS and for PPP byte)J 36 416 :M .202 .02(stuffing. It is useful to calculate the expected perform-)J 36 428 :M 2.338 .234(ance for random data, because data that is well-)J 36 440 :M 1.998 .2(compressed and/or well-encrypted should have a)J 36 452 :M .083 .008(uniform distribution of byte values. Section )J 232 452 :M .074 .007(5 presents)J 36 464 :M .264 .026(the actual performance on today\325s real packets, which)J 36 476 :M (are not all compressed and/or encrypted.)S 36 500 :M f3_12 sf (4)S 42 500 :M (.)S 45 500 :M (1)S 51 500 :M ( )S 58 500 :M (Best Case Overhead)S 36 520 :M f1_10 sf 1.352 .135(The best case for PPP byte stuffing is a packet that)J 36 532 :M 2.224 .222(contains no occurrences of the reserved \(0x7D or)J 36 544 :M .804 .08(0x7E\) characters. In this case, PPP encoding adds no)J 36 556 :M (overhead to the packet at all.)S 36 574 :M 1.699 .17(The best case for COBS is a packet with plenty of)J 36 586 :M 1.756 .176(zeroes, so that nowhere in the packet is there any)J 36 598 :M .149 .015(contiguous sequence of more than 254 non-zero bytes.)J 36 610 :M .714 .071(In this case, each block is encoded with no overhead)J 36 622 :M 2.199 .22(at all. Counting the phantom zero that has to be)J 36 634 :M .348 .035(added to every packet before encoding, this results in)J 36 646 :M .854 .085(a best-case overhead of a single byte, for any size of)J 36 658 :M (packet.)S 36 682 :M f3_12 sf (4)S 42 682 :M (.)S 45 682 :M (2)S 51 682 :M ( )S 58 682 :M (Worst Case Overhead)S 36 702 :M f1_10 sf .846 .085(The worst case for PPP byte stuffing is a packet that)J 36 714 :M .012 .001(consists entirely of reserved \(0x7D or 0x7E\) characters.)J 299 46 :M .788 .079(In this case, encoding doubles the size of the packet,)J 299 58 :M (giving an overhead of 100%.)S 299 76 :M .641 .064(The worst case for COBS is a packet that contains no)J 299 88 :M .035 .003(zeroes at all. In this case, each sequence of 254 bytes of)J 299 100 :M .114 .011(packet data is encoded using 255 bytes of output data,)J 299 112 :M 1.403 .14(giving one byte of overhead for every 254 bytes of)J 299 124 :M .719 .072(packet data. For example, a maximum size IP packet)J 299 136 :M 1.661 .166(over Ethernet is 1500 bytes long, and in the worst)J 299 148 :M 1.653 .165(possible case COBS would add an overhead of six)J 299 160 :M (bytes to a packet of this size.)S 299 184 :M f3_12 sf (4)S 305 184 :M (.)S 308 184 :M (3)S 314 184 :M ( )S 321 184 :M (Expected Overhead)S 299 204 :M f1_10 sf .649 .065(The best and worst cases for each algorithm are easy)J 299 216 :M .344 .034(to calculate, but they do not give the whole picture. It)J 299 228 :M .06 .006(would be useful also to know the overall efficiency we)J 299 240 :M 1.404 .14(expect to achieve for a large number of packets, in)J 299 252 :M 1.906 .191(terms of what percentage of transmitted bytes we)J 299 264 :M .293 .029(expect to contain useful data and what percentage we)J 299 276 :M .361 .036(expect to be encoding overhead. Since byte stuffing is)J 299 288 :M 1.343 .134(a process that takes as input a packet composed of)J 299 300 :M .928 .093(characters from an alphabet of 256 possible symbols)J 299 312 :M .68 .068(and gives as output a packet composed of characters)J 299 324 :M 1.776 .178(from an alphabet of only 255 possible symbols, in)J 299 336 :M 1.405 .14(general there must be some overhead. Exactly how)J 299 348 :M .293 .029(much longer a particular packet becomes may or may)J 299 360 :M .411 .041(not depend on the contents of that packet, depending)J 299 372 :M 1.123 .112(on the algorithm being used. With some algorithms)J 299 384 :M .092 .009(there may be fortunate packets that incur no overhead)J 299 396 :M .45 .045(at all, but information theory tells us that for random)J 299 408 :M (data the average overhead must be at least:)S 317 416 206 30 rC 523 446 :M psb currentpoint pse 317 416 :M psb /MTsave save def 40 dict begin currentpoint 3 -1 roll sub neg 3 1 roll sub 6592 div 960 3 -1 roll exch div scale currentpoint translate 64 39 translate /thick 0 def /th { dup setlinewidth /thick exch def } def 16 th 0 406 moveto 1151 0 rlineto stroke /cat { dup length 2 index length add string dup dup 5 -1 roll exch copy length 4 -1 roll putinterval } def /ff { dup FontDirectory exch known not { dup dup length string cvs (|______) exch cat dup FontDirectory exch known {exch} if pop } if findfont } def /fs 0 def /cf 0 def /sf {exch dup /fs exch def dup neg matrix scale makefont setfont} def /f1 {ff dup /cf exch def sf} def /ns {cf sf} def /sh {moveto show} def 384 /Times-Roman f1 (log) 25 264 sh (log) 30 798 sh (.) 2257 505 sh (,) 3676 505 sh 384 /Times-Roman f1 (256) 556 264 sh (255) 561 798 sh (1) 1502 505 sh (0) 2065 505 sh (0007063) 2353 505 sh 384 /Symbol f1 (-) 1243 505 sh (\273) 1760 505 sh 384 /Times-Roman f1 (or roughly 0.07%) 3806 505 sh end MTsave restore pse gR gS 0 0 575 755 rC 299 462 :M f1_10 sf .054 .005(This theoretical bound gives us a metric against which)J 299 474 :M 3.505 .351(to judge different byte stuffing schemes. Some)J 299 486 :M 1.029 .103(algorithms may be able to beat this bound for some)J 299 498 :M 1.101 .11(packets, but there is no algorithm that can beat this)J 299 510 :M (bound for all packets.)S 299 528 :M f3_10 sf (4)S 304 528 :M (.)S 306 528 :M (3)S 311 528 :M (.)S 313 528 :M (1)S 318 528 :M ( )S 325 528 :M (Expected Overhead for PPP)S 299 546 :M f1_10 sf 1.23 .123(For PPP the expected overhead is easy to calculate.)J 299 558 :M .596 .06(PPP has only two distinct behavior patterns: it either)J 299 570 :M .137 .014(reads a single byte and writes a single byte, or it reads)J 299 582 :M .633 .063(a single byte and writes a pair of bytes. In uniformly)J 299 594 :M 2.142 .214(distributed random data, the probability that any)J 299 606 :M .75 .075(given byte will be one of PPP\325s two reserved values,)J 299 618 :M 1.5 .15(causing PPP to output two bytes instead of one, is)J 299 626 :M f1_6 sf .114(2)A f1_10 sf 0 4 rm .23(/)A 0 -4 rm f1_6 sf 0 6 rm .114(256)A 0 -6 rm f1_10 sf 0 4 rm .441 .044(. In a packet of length )J 0 -4 rm f2_10 sf 0 4 rm (n)S 0 -4 rm 425 630 :M f1_10 sf .509 .051(, there will be on average)J 299 642 :M f2_10 sf (n)S 305 642 :M f1_10 sf (\312)S 308 642 :M f7_10 sf (\264)S f1_10 sf (\312)S 316 638 :M f1_6 sf .075(2)A f1_10 sf 0 4 rm .152(/)A 0 -4 rm f1_6 sf 0 6 rm .075(256)A 0 -6 rm f1_10 sf 0 4 rm .422 .042( occurrences of reserved values and )J 0 -4 rm 499 642 :M f2_10 sf (n)S 505 642 :M f1_10 sf (\312)S 508 642 :M f7_10 sf (\264)S f1_10 sf (\312)S 516 638 :M f1_6 sf (254)S f1_10 sf 0 4 rm (/)S 0 -4 rm f1_6 sf 0 6 rm (256)S 0 -6 rm 299 654 :M f1_10 sf 1.318 .132(occurrences of other values. This gives an expected)J 299 666 :M (output length of:)S 317 674 195 16 rC 512 690 :M psb currentpoint pse 317 674 :M psb /MTsave save def 40 dict begin currentpoint 3 -1 roll sub neg 3 1 roll sub 6240 div 512 3 -1 roll exch div scale currentpoint translate 64 56 translate /thick 0 def /th { dup setlinewidth /thick exch def } def 16 th 1123 197 moveto 386 0 rlineto stroke 3219 197 moveto 387 0 rlineto stroke /cat { dup length 2 index length add string dup dup 5 -1 roll exch copy length 4 -1 roll putinterval } def /ff { dup FontDirectory exch known not { dup dup length string cvs (|______) exch cat dup FontDirectory exch known {exch} if pop } if findfont } def /fs 0 def /cf 0 def /sf {exch dup /fs exch def dup neg matrix scale makefont setfont} def /f1 {ff dup /cf exch def sf} def /ns {cf sf} def /sh {moveto show} def 384 /Times-Italic f1 (n) -8 296 sh (n) 2150 296 sh (n) 5940 296 sh 384 /Symbol f1 (\264) 262 296 sh (\264) 823 296 sh (+) 1696 296 sh (\264) 2420 296 sh (\264) 2919 296 sh (=) 3874 296 sh 384 /Times-Roman f1 (2) 551 296 sh (1) 2678 296 sh (1) 4310 296 sh (0078125) 4598 296 sh 224 ns (2) 1260 157 sh (256) 1149 391 sh (254) 3245 154 sh (256) 3245 391 sh 384 /Times-Roman f1 ( ) 1573 296 sh ( ) 1998 296 sh ( ) 3670 296 sh ( ) 4192 296 sh (.) 4502 296 sh end MTsave restore pse endp %%PageTrailer %%Page: 8 8 %%BeginPageSetup initializepage (Stuart Cheshire; document: Microsoft Word - COBS; page: 8 of 12)setjob %%EndPageSetup gS 0 0 575 755 rC 272 736 :M f0_10 sf (\321 )S 285 736 :M (8)S 291 736 :M ( \321)S 36 46 :M f1_10 sf .621 .062(An expected output length 1.0078125 times the input)J 36 58 :M .282 .028(length gives an expected overhead of 0.78125%, about)J 36 70 :M -.001(11 times worse than the theoretical optimum.)A 36 88 :M f3_10 sf (4)S 41 88 :M (.)S 43 88 :M (3)S 48 88 :M (.)S 50 88 :M (2)S 55 88 :M ( )S 62 88 :M (Expected Overhead for COBS)S 36 106 :M f1_10 sf 1.205 .12(For COBS the average overhead is a little harder to)J 36 118 :M 2.303 .23(calculate since COBS has 255 different behaviors,)J 36 130 :M .368 .037(rather than just the two that PPP has. In addition, not)J 36 142 :M .858 .086(only does each behavior write a different number of)J 36 154 :M 2.846 .285(output bytes, each behavior also reads different)J 36 166 :M 1.413 .141(numbers of input bytes. Since the number of input)J 36 178 :M .452 .045(bytes read is not always one as it is for PPP, we must)J 36 190 :M 1.084 .108(also calculate the average number of bytes read per)J 36 202 :M 1.938 .194(code block, and divide the average output by the)J 36 214 :M 3.275 .327(average input to determine the overall average)J 36 226 :M (overhead.)S 36 244 :M .346 .035(First we calculate the average input per code block. If)J 36 256 :M .573 .057(the first byte the algorithm encounters is a zero, then)J 36 268 :M 2.368 .237(that single byte is encoded as a code block. The)J 36 280 :M .869 .087(probability P\(1\) of this happening is )J 207 276 :M f1_6 sf .191(1)A f1_10 sf 0 4 rm .386(/)A 0 -4 rm f1_6 sf 0 6 rm .191(256)A 0 -6 rm f1_10 sf 0 4 rm .715 .072(. If the first)J 0 -4 rm 36 292 :M 1.509 .151(byte is not a zero, but the second byte is, then the)J 36 304 :M 1.006 .101(algorithm reads two bytes and outputs a block. The)J 36 316 :M .313 .031(probability P\(2\) of this happening is )J f1_6 sf 0 -4 rm .057(255)A 0 4 rm f1_10 sf .115(/)A f1_6 sf 0 2 rm .057(256)A 0 -2 rm f1_10 sf (\312)S 228 316 :M f7_10 sf (\264)S f1_10 sf (\312)S 236 312 :M f1_6 sf (1)S f1_10 sf 0 4 rm .091(/)A 0 -4 rm f1_6 sf 0 6 rm .045(256)A 0 -6 rm f1_10 sf 0 4 rm .234 .023(. The)J 0 -4 rm 36 328 :M .299 .03(probability P\()J f2_10 sf (n)S 103 328 :M f1_10 sf .587 .059(\) that it reads )J 168 328 :M f2_10 sf (n)S 174 328 :M f1_10 sf .422 .042(-1 non-zeroes \()J f2_10 sf (n)S 246 328 :M f1_10 sf .624 .062( \262 254\))J 36 340 :M (followed by a zero is:)S 54 348 87 32 rC 141 380 :M psb currentpoint pse 54 348 :M psb /MTsave save def 40 dict begin currentpoint 3 -1 roll sub neg 3 1 roll sub 2784 div 1024 3 -1 roll exch div scale currentpoint translate 64 46 translate /thick 0 def /th { dup setlinewidth /thick exch def } def 16 th 182 495 moveto 616 0 rlineto stroke 2067 495 moveto 616 0 rlineto stroke /cat { dup length 2 index length add string dup dup 5 -1 roll exch copy length 4 -1 roll putinterval } def /ff { dup FontDirectory exch known not { dup dup length string cvs (|______) exch cat dup FontDirectory exch known {exch} if pop } if findfont } def /fs 0 def /cf 0 def /sf {exch dup /fs exch def dup neg matrix scale makefont setfont} def /f1 {ff dup /cf exch def sf} def /ns {cf sf} def /sh {moveto show} def 384 /Times-Roman f1 (255) 209 353 sh (256) 203 887 sh (1) 2279 353 sh (256) 2088 887 sh 224 ns (1) 1269 152 sh 384 /Symbol f1 (\346) -15 412 sh (\350) -15 821 sh (\366) 808 412 sh (\370) 808 821 sh (\264) 1479 594 sh 224 ns (-) 1142 152 sh 224 /Times-Italic f1 (n) 1007 152 sh end MTsave restore pse gR gS 0 0 575 755 rC 36 396 :M f1_10 sf 1.019 .102(The longest code block, code 0xFF, occurs when the)J 36 408 :M .136 .014(algorithm encounters 254 non-zeroes without seeing a)J 36 420 :M .738 .074(single zero. The probability P\(255\) of this happening)J 36 432 :M .523 .052(is \()J f1_6 sf 0 -4 rm .169(255)A 0 4 rm f1_10 sf .342(/)A f1_6 sf 0 2 rm .169(256)A 0 -2 rm f1_10 sf .188<29>A f1_6 sf 0 -4 rm .169(254)A 0 4 rm f1_10 sf .838 .084(, and in this case the algorithm reads 254)J 36 444 :M (bytes and outputs a block of 255 bytes.)S 36 462 :M -.001(The average input per code block is therefore:)A 54 470 143 34 rC 197 504 :M psb currentpoint pse 54 470 :M psb /MTsave save def 40 dict begin currentpoint 3 -1 roll sub neg 3 1 roll sub 4576 div 1088 3 -1 roll exch div scale currentpoint translate 64 35 translate /cat { dup length 2 index length add string dup dup 5 -1 roll exch copy length 4 -1 roll putinterval } def /ff { dup FontDirectory exch known not { dup dup length string cvs (|______) exch cat dup FontDirectory exch known {exch} if pop } if findfont } def /fs 0 def /cf 0 def /sf {exch dup /fs exch def dup neg matrix scale makefont setfont} def /f1 {ff dup /cf exch def sf} def /ns {cf sf} def /sh {moveto show} def 384 /Times-Italic f1 (n) 630 605 sh (P) 1206 605 sh (n) 1579 605 sh (P) 3414 605 sh 224 ns (n) 200 978 sh 384 /Symbol f1 (\264) 900 605 sh (\346) -15 355 sh (\350) -15 900 sh (\347) -15 681 sh (\366) 1897 355 sh (\370) 1897 900 sh (\367) 1897 681 sh (+) 2162 605 sh (\264) 3108 605 sh 224 ns (=) 335 978 sh 576 ns (\345) 174 692 sh 384 /Times-Roman f1 (\() 1441 605 sh (\)) 1778 605 sh (\() 3649 605 sh (\)) 4355 605 sh 224 /Times-Roman f1 (1) 463 978 sh (254) 211 203 sh 384 ns (254) 2453 605 sh (255) 3784 605 sh end MTsave restore pse gR gS 0 0 575 755 rC 36 520 :M f1_10 sf .462 .046(Now we calculate the average output per code block.)J 36 532 :M .032 .003(The probabilities of each different behavior remain the)J 36 544 :M 1.89 .189(same, and for all codes except one the number of)J 36 556 :M .213 .021(bytes output is also exactly the same as the number of)J 36 568 :M 1.391 .139(bytes input. The exception is code 0xFF, where the)J 36 580 :M .428 .043(number of bytes input is 254 but the number of bytes)J 36 592 :M (output is 255.)S 36 610 :M -.001(The average output per code block is therefore:)A 54 618 142 34 rC 196 652 :M psb currentpoint pse 54 618 :M psb /MTsave save def 40 dict begin currentpoint 3 -1 roll sub neg 3 1 roll sub 4544 div 1088 3 -1 roll exch div scale currentpoint translate 64 35 translate /cat { dup length 2 index length add string dup dup 5 -1 roll exch copy length 4 -1 roll putinterval } def /ff { dup FontDirectory exch known not { dup dup length string cvs (|______) exch cat dup FontDirectory exch known {exch} if pop } if findfont } def /fs 0 def /cf 0 def /sf {exch dup /fs exch def dup neg matrix scale makefont setfont} def /f1 {ff dup /cf exch def sf} def /ns {cf sf} def /sh {moveto show} def 384 /Times-Italic f1 (n) 641 605 sh (P) 1205 605 sh (n) 1578 605 sh (P) 3376 605 sh 224 ns (n) 202 978 sh 384 /Symbol f1 (\264) 905 605 sh (\346) -15 355 sh (\350) -15 900 sh (\347) -15 681 sh (\366) 1896 355 sh (\370) 1896 900 sh (\367) 1896 681 sh (+) 2155 605 sh (\264) 3076 605 sh 224 ns (=) 335 978 sh 576 ns (\345) 174 692 sh 384 /Times-Roman f1 (\() 1440 605 sh (\)) 1777 605 sh (\() 3611 605 sh (\)) 4317 605 sh 224 /Times-Roman f1 (1) 461 978 sh (254) 211 203 sh 384 ns (255) 2440 605 sh (255) 3746 605 sh end MTsave restore pse gR gS 0 0 575 755 rC 299 264 :M f1_10 sf .436 .044(The ratio of average output divided by average input)J 299 276 :M (is:)S 317 278 218 68 rC 535 346 :M psb currentpoint pse 317 278 :M psb /MTsave save def 40 dict begin currentpoint 3 -1 roll sub neg 3 1 roll sub 6976 div 2176 3 -1 roll exch div scale currentpoint translate 64 33 translate /thick 0 def /th { dup setlinewidth /thick exch def } def 16 th 0 1052 moveto 4528 0 rlineto stroke /cat { dup length 2 index length add string dup dup 5 -1 roll exch copy length 4 -1 roll putinterval } def /ff { dup FontDirectory exch known not { dup dup length string cvs (|______) exch cat dup FontDirectory exch known {exch} if pop } if findfont } def /fs 0 def /cf 0 def /sf {exch dup /fs exch def dup neg matrix scale makefont setfont} def /f1 {ff dup /cf exch def sf} def /ns {cf sf} def /sh {moveto show} def 384 /Times-Italic f1 (n) 669 605 sh (P) 1245 605 sh (n) 1618 605 sh (P) 3440 605 sh (n) 662 1697 sh (P) 1238 1697 sh (n) 1611 1697 sh (P) 3446 1697 sh 224 ns (n) 239 978 sh (n) 232 2070 sh 384 /Symbol f1 (\264) 939 605 sh (\346) 24 355 sh (\350) 24 900 sh (\347) 24 681 sh (\366) 1936 355 sh (\370) 1936 900 sh (\367) 1936 681 sh (+) 2201 605 sh (\264) 3134 605 sh (\264) 932 1697 sh (\346) 17 1447 sh (\350) 17 1992 sh (\347) 17 1773 sh (\366) 1929 1447 sh (\370) 1929 1992 sh (\367) 1929 1773 sh (+) 2194 1697 sh (\264) 3140 1697 sh (\273) 4907 1151 sh 224 ns (=) 374 978 sh (=) 367 2070 sh 576 ns (\345) 213 692 sh (\345) 206 1784 sh 384 /Times-Roman f1 (\() 1480 605 sh (\)) 1817 605 sh (\() 3675 605 sh (\)) 4381 605 sh (\() 1473 1697 sh (\)) 1810 1697 sh (\() 3681 1697 sh (\)) 4387 1697 sh (.) 5643 1151 sh 224 /Times-Roman f1 (1) 502 978 sh (254) 250 203 sh (1) 495 2070 sh (254) 243 1295 sh 384 ns (255) 2492 605 sh (255) 3810 605 sh (254) 2485 1697 sh (255) 3816 1697 sh (1) 5451 1151 sh (002295) 5739 1151 sh end MTsave restore pse gR gS 0 0 575 755 rC 299 362 :M f1_10 sf 3.53 .353(The theoretical average overhead for COBS on)J 299 374 :M 1.26 .126(random data is therefore a little under 0.23%, more)J 299 386 :M -.002(than three times better than PPP\325s average.)A 299 404 :M 1.075 .108(Figure 4 summarizes these results both for PPP and)J 299 416 :M 1.834 .183(for COBS. These results hold for well compressed)J 299 428 :M .731 .073(packets which contain a uniform distribution of byte)J 299 440 :M .547 .055(values, but not all Internet traffic is well compressed.)J 299 452 :M .657 .066(In addition, it is not possible to have fractional bytes)J 299 464 :M 1.272 .127(of overhead. In theory a 40-byte IPv4 TCP acknow-)J 299 476 :M 1.104 .11(ledgement packet encoded with COBS may average)J 299 488 :M 2.99 .299(an overhead of 40\312)J f7_10 sf .97(\264)A f1_10 sf 2.729 .273(\3120.23% = 0.092 bytes, but in)J 299 500 :M .757 .076(practice that fraction is rounded up to an entire byte)J 299 512 :M .098 .01(of overhead. For small packets this rounding up to the)J 299 524 :M .378 .038(next whole byte may be a more dominant contributor)J 299 536 :M .758 .076(to overhead than the actual underlying properties of)J 299 548 :M 1.565 .156(the algorithm. To investigate how much effect this)J 299 560 :M .927 .093(potential problem might have, we encoded traces of)J 299 572 :M .589 .059(real-world network traffic using both COBS and PPP)J 299 584 :M 1.198 .12(byte stuffing, and these results are presented in the)J 299 596 :M (next section.)S 299 622 :M f3_14 sf (5)S 306 622 :M (.)S 309 622 :M ( )S 321 622 :M (Experimental Results)S 299 642 :M f1_10 sf .672 .067(Real-world network traffic may not behave the same)J 299 654 :M 1.66 .166(way as our theoretical traffic. In real-world traffic,)J 299 666 :M 1.136 .114(small packets are common, and not all data is com-)J 299 678 :M 1.029 .103(pressed and/or encrypted. To see how these factors)J 299 690 :M .941 .094(affect the algorithms, we gathered traces of network)J 299 702 :M 2.327 .233(traffic using tcpdump [Jac89] and compared how)J 299 714 :M .432 .043(efficiently those packets were encoded by PPP, COBS)J 296 36 246 145 rC 310 151.75 -.75 .75 497.75 151 .75 310 151 @a -.75 -.75 310.75 166.75 .75 .75 310 151 @b 296 166 29 15 rC 300 178 :M f5_9 sf (0)S 305 178 :M (.)S 308 178 :M (0)S 313 178 :M (%)S gR gS 296 36 246 145 rC -.75 -.75 353.75 166.75 .75 .75 353 151 @b -.75 -.75 440.75 166.75 .75 .75 440 151 @b -.75 -.75 526.75 166.75 .75 .75 526 151 @b 339 166 30 15 rC 343 178 :M f5_9 sf (0)S 348 178 :M (.)S 351 178 :M (2)S 356 178 :M (%)S gR gS 468 166 30 15 rC 472 178 :M f5_9 sf (0)S 477 178 :M (.)S 480 178 :M (8)S 485 178 :M (%)S gR gS 512 166 29 15 rC 515 178 :M f5_9 sf (1)S 520 178 :M (0)S 525 178 :M (0)S 530 178 :M (%)S gR gS 296 36 29 30 rC 304 45 :M f5_8 sf (P)S 308 45 :M (P)S 312 45 :M (P)S 303 53 :M (B)S 308 53 :M (e)S 312 53 :M (s)S 315 53 :M (t)S 302 61 :M <28>S 305 61 :M (0)S 309 61 :M (%)S 316 61 :M <29>S gR gS 461 36 30 30 rC 469 45 :M f5_8 sf (P)S 473 45 :M (P)S 477 45 :M (P)S 461 53 :M (A)S 467 53 :M (v)S 471 53 :M (e)S 475 53 :M (r)S 478 53 :M (a)S 482 53 :M (g)S 486 53 :M (e)S 462 61 :M <28>S 465 61 :M (0)S 469 61 :M (.)S 471 61 :M (7)S 475 61 :M (8)S 479 61 :M (%)S 486 61 :M <29>S gR gS 512 36 29 30 rC 520 45 :M f5_8 sf (P)S 524 45 :M (P)S 528 45 :M (P)S 516 53 :M (W)S 524 53 :M (o)S 528 53 :M (r)S 531 53 :M (s)S 534 53 :M (t)S 514 61 :M <28>S 517 61 :M (1)S 521 61 :M (0)S 525 61 :M (0)S 529 61 :M (%)S 536 61 :M <29>S gR gS 310 86 30 30 rC 314 95 :M f5_8 sf (C)S 319 95 :M (O)S 325 95 :M (B)S 330 95 :M (S)S 317 103 :M (B)S 322 103 :M (e)S 326 103 :M (s)S 329 103 :M (t)S 311 111 :M <28>S 314 111 :M (0)S 318 111 :M (.)S 320 111 :M (0)S 324 111 :M (7)S 328 111 :M (%)S 335 111 :M <29>S gR gS 296 36 246 145 rC -.75 -.75 476.75 144.75 .75 .75 476 65 @b -.75 -.75 332.75 158.75 .75 .75 332 151 @b -.75 -.75 375.75 158.75 .75 .75 375 151 @b -.75 -.75 418.75 158.75 .75 .75 418 151 @b -.75 -.75 461.75 158.75 .75 .75 461 151 @b -.75 -.75 526.75 144.75 .75 .75 526 65 @b 346 86 30 30 rC 350 95 :M f5_8 sf (C)S 355 95 :M (O)S 361 95 :M (B)S 366 95 :M (S)S 346 103 :M (A)S 352 103 :M (v)S 356 103 :M (e)S 360 103 :M (r)S 363 103 :M (a)S 367 103 :M (g)S 371 103 :M (e)S 347 111 :M <28>S 350 111 :M (0)S 354 111 :M (.)S 356 111 :M (2)S 360 111 :M (3)S 364 111 :M (%)S 371 111 :M <29>S gR gS 382 86 30 30 rC 386 95 :M f5_8 sf (C)S 391 95 :M (O)S 397 95 :M (B)S 402 95 :M (S)S 386 103 :M (W)S 394 103 :M (o)S 398 103 :M (r)S 401 103 :M (s)S 404 103 :M (t)S 383 111 :M <28>S 386 111 :M (0)S 390 111 :M (.)S 392 111 :M (4)S 396 111 :M (0)S 400 111 :M (%)S 407 111 :M <29>S gR gS 296 36 246 145 rC -.75 -.75 360.75 144.75 .75 .75 360 115 @b -.25 -.25 497.25 180.25 .25 .25 504 173 @b 497 166.25 -.25 .25 504.25 173 .25 497 166 @a -.25 -.25 497.25 166.25 .25 .25 504 158 @b 497 151.25 -.25 .25 504.25 158 .25 497 151 @a -.25 -.25 497.25 151.25 .25 .25 504 144 @b 497 137.25 -.25 .25 504.25 144 .25 497 137 @a -.25 -.25 497.25 137.25 .25 .25 504 130 @b 497 122.25 -.25 .25 504.25 130 .25 497 122 @a -.25 -.25 497.25 122.25 .25 .25 504 115 @b 497 108.25 -.25 .25 504.25 115 .25 497 108 @a -.25 -.25 497.25 108.25 .25 .25 504 101 @b 497 94.25 -.25 .25 504.25 101 .25 497 94 @a -.25 -.25 497.25 94.25 .25 .25 504 86 @b 497 79.25 -.25 .25 504.25 86 .25 497 79 @a -.25 -.25 497.25 79.25 .25 .25 504 72 @b 497 65.25 -.25 .25 504.25 72 .25 497 65 @a -.25 -.25 497.25 65.25 .25 .25 504 58 @b 497 50.25 -.25 .25 504.25 58 .25 497 50 @a -.25 -.25 497.25 50.25 .25 .25 504 43 @b -.25 -.25 504.25 180.25 .25 .25 512 173 @b 504 166.25 -.25 .25 512.25 173 .25 504 166 @a -.25 -.25 504.25 166.25 .25 .25 512 158 @b 504 151.25 -.25 .25 512.25 158 .25 504 151 @a -.25 -.25 504.25 151.25 .25 .25 512 144 @b 504 137.25 -.25 .25 512.25 144 .25 504 137 @a -.25 -.25 504.25 137.25 .25 .25 512 130 @b 504 122.25 -.25 .25 512.25 130 .25 504 122 @a -.25 -.25 504.25 122.25 .25 .25 512 115 @b 504 108.25 -.25 .25 512.25 115 .25 504 108 @a -.25 -.25 504.25 108.25 .25 .25 512 101 @b 504 94.25 -.25 .25 512.25 101 .25 504 94 @a -.25 -.25 504.25 94.25 .25 .25 512 86 @b 504 79.25 -.25 .25 512.25 86 .25 504 79 @a -.25 -.25 504.25 79.25 .25 .25 512 72 @b 504 65.25 -.25 .25 512.25 72 .25 504 65 @a -.25 -.25 504.25 65.25 .25 .25 512 58 @b 504 50.25 -.25 .25 512.25 58 .25 504 50 @a -.25 -.25 504.25 50.25 .25 .25 512 43 @b -.75 -.75 324.75 144.75 .75 .75 324 115 @b -.75 -.75 396.75 166.75 .75 .75 396 151 @b 382 166 30 15 rC 386 178 :M f5_9 sf (0)S 391 178 :M (.)S 394 178 :M (4)S 399 178 :M (%)S gR gS 425 166 30 15 rC 429 178 :M f5_9 sf (0)S 434 178 :M (.)S 437 178 :M (6)S 442 178 :M (%)S gR gS 296 36 246 145 rC -.75 -.75 483.75 166.75 .75 .75 483 151 @b -.75 -.75 396.75 144.75 .75 .75 396 115 @b -.75 -.75 310.75 144.75 .75 .75 310 65 @b 505 151.75 -.75 .75 526.75 151 .75 505 151 @a gR gS 290 36 259 194 rC 306 200 :M f3_10 sf (Figure )S 338 200 :M (4. Encoding Overhead for 1500 Byte Packet)S 306 210 :M f1_8 sf .754 .075(PPP\325s best, average, and worst cases vary widely. In contrast,)J 306 219 :M .679 .068(COBS\325s best, average and worst cases all fall within a narrow)J 306 228 :M (range, and are all better than PPP\325s average case.)S endp %%PageTrailer %%Page: 9 9 %%BeginPageSetup initializepage (Stuart Cheshire; document: Microsoft Word - COBS; page: 9 of 12)setjob %%EndPageSetup gS 0 0 575 755 rC 272 736 :M f0_10 sf (\321 )S 285 736 :M (9)S 291 736 :M ( \321)S 36 46 :M f1_10 sf 1.63 .163(and COBS/ZPE. We present results for two of the)J 36 58 :M (traces here.)S 36 76 :M .378 .038(For the benefit of readers who wish to see how COBS)J 36 88 :M 2.065 .206(performs on other traffic mixes, the analysis tool,)J 36 100 :M .029 .003(which will read any standard format tcpdump log file,)J 36 112 :M .172 .017(is available at the authors\325 Web Site . \(Note: to eval-)J 36 136 :M .873 .087(uate how efficiently COBS encodes entire packets \321)J 36 148 :M .9 .09(both header and payload \321 the tool should be used)J 36 160 :M .423 .042(on logs that contain complete packets, not just packet)J 36 172 :M 2.578 .258(headers. The tool will give a warning if the log)J 36 184 :M (contains incomplete packets.\))S 36 208 :M f3_12 sf (5)S 42 208 :M (.)S 45 208 :M (1)S 51 208 :M ( )S 58 208 :M (Three-day Trace)S 36 228 :M f1_10 sf .49 .049(One of our colleagues frequently works at home, and)J 36 240 :M .037 .004(his sole Internet connection is via a portable ISM-band)J 36 252 :M 1.919 .192(packet radio attached to his laptop computer. We)J 36 264 :M .219 .022(collected a trace of all his packets for a period of three)J 36 276 :M .135 .013(days. We regard this trace as being representative of a)J 36 288 :M .502 .05(user who makes extensive use of a wireless interface.)J 36 300 :M 3.899 .39(The trace contains 36,744 IP packets, totalling)J 36 312 :M 1.707 .171(10,060,268 bytes of data \(including IP headers and)J 36 324 :M .012 .001(higher layers; not including the link-level header\). The)J 36 336 :M .163 .016(MTU of his wireless interface was 1024 bytes, giving a)J 36 348 :M 1.221 .122(worst-case COBS overhead for large packets of five)J 36 360 :M (bytes.)S 36 378 :M 2.299 .23(However, most of the packets captured were not)J 36 390 :M .533 .053(large; 69% of the packets were shorter than 254 bytes)J 36 402 :M .256 .026(and necessarily incurred exactly one byte of overhead)J 36 414 :M 2.248 .225(when encoded with COBS. Moreover, 41% of the)J 36 426 :M .846 .085(packets were exactly 40 bytes long, which is just the)J 36 438 :M .06 .006(length of a TCP acknowledgement containing no data.)J 36 450 :M 1.811 .181(Another 10% of the packets were exactly 41 bytes)J 36 462 :M .761 .076(long, which is the length of a TCP packet containing)J 36 474 :M 2.157 .216(just one data byte. Taking these two numbers to-)J 36 486 :M .685 .069(gether, this means that over half the packets were 40)J 36 498 :M 2.616 .262(or 41 bytes long. Only 15% of the packets were)J 36 510 :M (maximum-sized 1024-byte packets.)S 36 528 :M .637 .064(We regard this as a particularly challenging test case)J 36 540 :M .819 .082(with which to evaluate COBS, because it contains so)J 36 552 :M .625 .063(many small packets. The results for this trace file are)J 36 564 :M (shown in Figure 5.)S 36 582 :M .278 .028(PPP incurred a total overhead of 36,069 bytes \(0.36%\).)J 36 594 :M 1.19 .119(74% of the packets incurred no overhead, but some)J 36 606 :M .821 .082(packets incurred much more. More than 100 packets)J 36 618 :M 2.486 .249(incurred 15 bytes of overhead or more, and one)J 36 630 :M .855 .086(packet incurred as much as 53 bytes of overhead. In)J 36 642 :M .937 .094(this trace no packets incurred more than 53 bytes of)J 36 654 :M 1.084 .108(overhead, supporting the claim that real packets do)J 36 666 :M 2.054 .205(not come close to the factor-of-two overhead that)J 36 678 :M -.001(conventional byte stuffing forces us to design for.)A 36 696 :M 2.9 .29(COBS incurred a total overhead of 57,005 bytes)J 36 708 :M .914 .091(\(0.57%\), meaning that even in this unfavourable test)J 299 46 :M .982 .098(case COBS costs only 0.21% extra compared to PPP,)J 299 58 :M .719 .072(for the benefit of having a tight bound on the worst-)J 299 70 :M 1.595 .159(case overhead. 74% of the packets had exactly one)J 299 82 :M 1.468 .147(byte of overhead, 7% had two bytes, 8% had three)J 299 94 :M (bytes, and 11% had four.)S 299 112 :M 1.06 .106(COBS/ZPE maintained a tight bound on worst case)J 299 124 :M 2.104 .21(performance while doing on average much better)J 299 136 :M .786 .079(than either PPP or COBS. For a 1024-byte packet the)J 299 148 :M .142 .014(maximum possible COBS/ZPE overhead is five bytes,)J 299 160 :M .562 .056(but in fact in this trace no packet incurred more than)J 299 172 :M .052 .005(four. In addition COBS/ZPE )J 429 172 :M f2_10 sf .013(reduced)A f1_10 sf .041 .004( the overall size of)J 299 184 :M .13 .013(the data by 26,238 bytes, giving a net overall saving of)J 299 196 :M (0.26%.)S 299 220 :M f3_12 sf (5)S 305 220 :M (.)S 308 220 :M (2)S 314 220 :M ( )S 321 220 :M (MPEG Trace)S 299 240 :M f1_10 sf 1.723 .172(With the increasing popularity of the World Wide)J 299 252 :M .668 .067(Web, we expect to see large packets and compressed)J 299 264 :M 4.052 .405(data \(particularly image data\) becoming more)J 299 276 :M 1.543 .154(common on the Internet. To see how COBS would)J 299 288 :M .936 .094(perform under these conditions we captured a large)J 299 300 :M .485 .048(bulk transfer of compressed image data. The data file)J 299 312 :M 2.028 .203(was MIRV.MPG, a 15.3MB MPEG file of an MTV)J 299 324 :M 3.753 .375(music video, and it was transferred using ftp)J 299 336 :M 3.278 .328([RFC959]. The trace contains 25,858 IP packets,)J 299 348 :M 1.729 .173(totalling 18,269,430 bytes of data. The MTU of the)J 299 360 :M .427 .043(wireless interface was 1088 bytes, giving a worst-case)J 299 372 :M -.001(COBS overhead for large packets of five bytes.)A 299 390 :M 2.108 .211(This trace is more favourable to COBS because it)J 299 402 :M .365 .036(contains many large packets. 63% of the packets were)J 299 414 :M 2.567 .257(maximum-sized IP packets, 1088 bytes long. The)J 299 426 :M -.001(results for this trace file are shown in )A 465 426 :M (Figure 6.)S 299 444 :M 3.143 .314(PPP incurred a total overhead of 101,024 bytes)J 299 456 :M .225 .022(\(0.55%\). 36% of the packets incurred no overhead, but)J 299 468 :M 1.407 .141(most incurred much more. The majority of packets)J 299 480 :M 2.697 .27(incurred 1-10 bytes of overhead and one packet)J 299 492 :M .07 .007(incurred as much as 20 bytes of overhead. In this trace)J 299 504 :M .702 .07(no packets incurred more than 20 bytes of overhead,)J 299 516 :M 1.279 .128(supporting the claim that real packets do not come)J 299 528 :M .625 .062(close to the factor-of-two overhead that conventional)J 299 540 :M -.001(byte stuffing forces us to design for.)A 299 558 :M .814 .081(COBS incurred a total overhead of only 35,410 bytes)J 299 570 :M .789 .079(\(0.19%\), beating PPP. 77% of the packets had exactly)J 299 582 :M 1.179 .118(one byte of overhead. Only 17 packets in the entire)J 299 594 :M .243 .024(trace incurred five bytes of overhead and as expected,)J 299 606 :M (no packets incurred more than that.)S 299 624 :M 1.06 .106(COBS/ZPE maintained a tight bound on worst case)J 299 636 :M 2.104 .21(performance while doing on average much better)J 299 648 :M .786 .079(than either PPP or COBS. For a 1088-byte packet the)J 299 660 :M .142 .014(maximum possible COBS/ZPE overhead is five bytes,)J 299 672 :M .562 .056(but in fact in this trace no packet incurred more than)J 299 684 :M 3.24 .324(four bytes of overhead. In addition COBS/ZPE)J 299 696 :M f2_10 sf .293(reduced)A f1_10 sf .943 .094( the overall size of the data by 161,548 bytes,)J 299 708 :M (giving a net overall saving of 0.88%.)S endp %%PageTrailer %%Page: 10 10 %%BeginPageSetup initializepage (Stuart Cheshire; document: Microsoft Word - COBS; page: 10 of 12)setjob %%EndPageSetup gS 0 0 575 755 rC 269 736 :M f0_10 sf (\321 )S 282 736 :M (10 \321)S :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 71 43 200 146 rC 71 157.004 -.004 .004 271.004 157 .004 71 157 @a 71 130.004 -.004 .004 271.004 130 .004 71 130 @a 71 102.004 -.004 .004 271.004 102 .004 71 102 @a 71 75.004 -.004 .004 271.004 75 .004 71 75 @a 71 47.004 -.004 .004 271.004 47 .004 71 47 @a gR .75 G gS 71 45 202 140 rC np 169 51 :M 173 51 :L 173 185 :L 169 185 :L 169 51 :L .004 lw eofill :a 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545.004 .004 .004 235 541 @b -.004 -.004 238.004 545.004 .004 .004 238 541 @b -.004 -.004 241.004 545.004 .004 .004 241 541 @b -.004 -.004 245.004 545.004 .004 .004 245 541 @b -.004 -.004 248.004 545.004 .004 .004 248 541 @b -.004 -.004 251.004 545.004 .004 .004 251 541 @b -.004 -.004 255.004 545.004 .004 .004 255 541 @b -.004 -.004 258.004 545.004 .004 .004 258 541 @b -.004 -.004 261.004 545.004 .004 .004 261 541 @b -.004 -.004 264.004 545.004 .004 .004 264 541 @b -.004 -.004 268.004 545.004 .004 .004 268 541 @b -.004 -.004 271.004 545.004 .004 .004 271 541 @b :e 52 545 :M 0 G f8_6 sf .62(0.00)A 52 517 :M .62(0.01)A 52 490 :M .62(0.10)A 52 462 :M .62(1.00)A 48 435 :M .598(10.00)A 44 407 :M .584(100.00)A 69 555 :M f8_5 sf .244(-30)A 85 555 :M .244(-25)A 101 555 :M .244(-20)A 118 555 :M .244(-15)A 134 555 :M .244(-10)A 153 555 :M .379(-5)A 170 555 :M (0)S 186 555 :M (5)S 201 555 :M .219(10)A 217 555 :M .219(15)A 234 555 :M .219(20)A 250 555 :M .219(25)A 266 555 :M .219(30)A 148 557 52 12 rC 149 566 :M f8_6 sf .446 .045(Overhead \(Bytes\))J gR gS 0 0 575 755 rC :e gS 48 537 :T 270 rotate -48 -537 :T 48 537 :M 0 G f8_6 sf .379 .038(Percentage of Packets \(log scale\))J gR 74 404 195 28 rC 223 422 :M 0 G f8_9 sf -.19(COBS/ZPE)A gR :e gS 0 0 575 755 rC 98 592 :M 0 G f3_10 sf (Figure )S 130 592 :M (5. Three-day Trace)S 43 602 :M f1_8 sf .077 .008(Histograms showing, for each amount of overhead indicated on)J 43 611 :M 1.072 .107(the horizontal axis, the percentage of packets that incur that)J 43 620 :M .468 .047(overhead. For our traces 0.001% of the packets is less than one)J 43 629 :M .677 .068(packet, and since the only number of packets less than one is)J 43 638 :M .419 .042(zero packets, we chose 0.001% as the base line of the log scale.)J 43 647 :M .17 .017(For PPP the lowest overhead is zero bytes and increases up to a)J 43 656 :M .473 .047(maximum of 53 bytes \(far off the scale to the right\). For COBS)J 43 665 :M 1.172 .117(the overhead is concentrated in a tight spike in the middle:)J 43 674 :M .957 .096(every packet incurred 1-4 bytes of overhead. For COBS/ZPE)J 43 683 :M .991 .099(the overhead is at most four bytes; most packets actually i)J 263 683 :M (n-)S 43 692 :M .734 .073(curred negative overhead \(net compression\). A few especially)J 43 701 :M 1.385 .138(compressible packets incurred a negative overhead of more)J 43 710 :M (than 300 bytes \(far off the scale to the left\).)S :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 334 43 200 146 rC 334 157.004 -.004 .004 534.004 157 .004 334 157 @a 334 130.004 -.004 .004 534.004 130 .004 334 130 @a 334 102.004 -.004 .004 534.004 102 .004 334 102 @a 334 75.004 -.004 .004 534.004 75 .004 334 75 @a 334 47.004 -.004 .004 534.004 47 .004 334 47 @a gR .75 G gS 334 45 202 140 rC np 432 59 :M 436 59 :L 436 185 :L 432 185 :L 432 59 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 432 59.004 -.004 .004 436.004 59 .004 432 59 @a -.004 -.004 436.004 185.004 .004 .004 436 59 @b 432 185.004 -.004 .004 436.004 185 .004 432 185 @a -.004 -.004 432.004 185.004 .004 .004 432 59 @b :e .75 G np 436 91 :M 439 91 :L 439 185 :L 436 185 :L 436 91 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 436 91.004 -.004 .004 439.004 91 .004 436 91 @a -.004 -.004 439.004 185.004 .004 .004 439 91 @b 436 185.004 -.004 .004 439.004 185 .004 436 185 @a -.004 -.004 436.004 185.004 .004 .004 436 91 @b :e .75 G np 439 88 :M 442 88 :L 442 185 :L 439 185 :L 439 88 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 439 88.004 -.004 .004 442.004 88 .004 439 88 @a -.004 -.004 442.004 185.004 .004 .004 442 88 @b 439 185.004 -.004 .004 442.004 185 .004 439 185 @a -.004 -.004 439.004 185.004 .004 .004 439 88 @b :e .75 G np 442 81 :M 445 81 :L 445 185 :L 442 185 :L 442 81 :L eofill :a 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76 .004 449 76 @a -.004 -.004 452.004 185.004 .004 .004 452 76 @b 449 185.004 -.004 .004 452.004 185 .004 449 185 @a -.004 -.004 449.004 185.004 .004 .004 449 76 @b :e .75 G np 452 76 :M 455 76 :L 455 185 :L 452 185 :L 452 76 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 452 76.004 -.004 .004 455.004 76 .004 452 76 @a -.004 -.004 455.004 185.004 .004 .004 455 76 @b 452 185.004 -.004 .004 455.004 185 .004 452 185 @a -.004 -.004 452.004 185.004 .004 .004 452 76 @b :e .75 G np 455 77 :M 459 77 :L 459 185 :L 455 185 :L 455 77 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 455 77.004 -.004 .004 459.004 77 .004 455 77 @a -.004 -.004 459.004 185.004 .004 .004 459 77 @b 455 185.004 -.004 .004 459.004 185 .004 455 185 @a -.004 -.004 455.004 185.004 .004 .004 455 77 @b :e .75 G np 459 80 :M 462 80 :L 462 185 :L 459 185 :L 459 80 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 459 80.004 -.004 .004 462.004 80 .004 459 80 @a -.004 -.004 462.004 185.004 .004 .004 462 80 @b 459 185.004 -.004 .004 462.004 185 .004 459 185 @a -.004 -.004 459.004 185.004 .004 .004 459 80 @b :e .75 G np 462 85 :M 465 85 :L 465 185 :L 462 185 :L 462 85 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 462 85.004 -.004 .004 465.004 85 .004 462 85 @a -.004 -.004 465.004 185.004 .004 .004 465 85 @b 462 185.004 -.004 .004 465.004 185 .004 462 185 @a -.004 -.004 462.004 185.004 .004 .004 462 85 @b :e .75 G np 465 90 :M 468 90 :L 468 185 :L 465 185 :L 465 90 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 465 90.004 -.004 .004 468.004 90 .004 465 90 @a -.004 -.004 468.004 185.004 .004 .004 468 90 @b 465 185.004 -.004 .004 468.004 185 .004 465 185 @a -.004 -.004 465.004 185.004 .004 .004 465 90 @b :e .75 G np 468 94 :M 472 94 :L 472 185 :L 468 185 :L 468 94 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 468 94.004 -.004 .004 472.004 94 .004 468 94 @a -.004 -.004 472.004 185.004 .004 .004 472 94 @b 468 185.004 -.004 .004 472.004 185 .004 468 185 @a -.004 -.004 468.004 185.004 .004 .004 468 94 @b :e .75 G np 472 101 :M 475 101 :L 475 185 :L 472 185 :L 472 101 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 472 101.004 -.004 .004 475.004 101 .004 472 101 @a -.004 -.004 475.004 185.004 .004 .004 475 101 @b 472 185.004 -.004 .004 475.004 185 .004 472 185 @a -.004 -.004 472.004 185.004 .004 .004 472 101 @b :e .75 G np 475 106 :M 478 106 :L 478 185 :L 475 185 :L 475 106 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 475 106.004 -.004 .004 478.004 106 .004 475 106 @a -.004 -.004 478.004 185.004 .004 .004 478 106 @b 475 185.004 -.004 .004 478.004 185 .004 475 185 @a -.004 -.004 475.004 185.004 .004 .004 475 106 @b :e .75 G np 478 113 :M 482 113 :L 482 185 :L 478 185 :L 478 113 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 478 113.004 -.004 .004 482.004 113 .004 478 113 @a -.004 -.004 482.004 185.004 .004 .004 482 113 @b 478 185.004 -.004 .004 482.004 185 .004 478 185 @a -.004 -.004 478.004 185.004 .004 .004 478 113 @b :e .75 G np 482 120 :M 485 120 :L 485 185 :L 482 185 :L 482 120 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 482 120.004 -.004 .004 485.004 120 .004 482 120 @a -.004 -.004 485.004 185.004 .004 .004 485 120 @b 482 185.004 -.004 .004 485.004 185 .004 482 185 @a -.004 -.004 482.004 185.004 .004 .004 482 120 @b :e .75 G np 485 128 :M 488 128 :L 488 185 :L 485 185 :L 485 128 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 485 128.004 -.004 .004 488.004 128 .004 485 128 @a -.004 -.004 488.004 185.004 .004 .004 488 128 @b 485 185.004 -.004 .004 488.004 185 .004 485 185 @a -.004 -.004 485.004 185.004 .004 .004 485 128 @b :e .75 G np 488 138 :M 491 138 :L 491 185 :L 488 185 :L 488 138 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 488 138.004 -.004 .004 491.004 138 .004 488 138 @a -.004 -.004 491.004 185.004 .004 .004 491 138 @b 488 185.004 -.004 .004 491.004 185 .004 488 185 @a -.004 -.004 488.004 185.004 .004 .004 488 138 @b :e .75 G np 491 147 :M 495 147 :L 495 185 :L 491 185 :L 491 147 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 491 147.004 -.004 .004 495.004 147 .004 491 147 @a -.004 -.004 495.004 185.004 .004 .004 495 147 @b 491 185.004 -.004 .004 495.004 185 .004 491 185 @a -.004 -.004 491.004 185.004 .004 .004 491 147 @b :e .75 G np 495 152 :M 498 152 :L 498 185 :L 495 185 :L 495 152 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 495 152.004 -.004 .004 498.004 152 .004 495 152 @a -.004 -.004 498.004 185.004 .004 .004 498 152 @b 495 185.004 -.004 .004 498.004 185 .004 495 185 @a -.004 -.004 495.004 185.004 .004 .004 495 152 @b :e .75 G np 498 169 :M 501 169 :L 501 185 :L 498 185 :L 498 169 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 498 169.004 -.004 .004 501.004 169 .004 498 169 @a -.004 -.004 501.004 185.004 .004 .004 501 169 @b 498 185.004 -.004 .004 501.004 185 .004 498 185 @a -.004 -.004 498.004 185.004 .004 .004 498 169 @b gR :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b gS 299 36 240 179 rC -.004 -.004 334.004 185.004 .004 .004 334 47 @b 332 185.004 -.004 .004 334.004 185 .004 332 185 @a 332 157.004 -.004 .004 334.004 157 .004 332 157 @a 332 130.004 -.004 .004 334.004 130 .004 332 130 @a 332 102.004 -.004 .004 334.004 102 .004 332 102 @a 332 75.004 -.004 .004 334.004 75 .004 332 75 @a 332 47.004 -.004 .004 334.004 47 .004 332 47 @a 334 185.004 -.004 .004 534.004 185 .004 334 185 @a -.004 -.004 334.004 187.004 .004 .004 334 183 @b -.004 -.004 337.004 187.004 .004 .004 337 183 @b -.004 -.004 341.004 187.004 .004 .004 341 183 @b -.004 -.004 344.004 187.004 .004 .004 344 183 @b -.004 -.004 347.004 187.004 .004 .004 347 183 @b -.004 -.004 350.004 187.004 .004 .004 350 183 @b -.004 -.004 354.004 187.004 .004 .004 354 183 @b -.004 -.004 357.004 187.004 .004 .004 357 183 @b -.004 -.004 360.004 187.004 .004 .004 360 183 @b -.004 -.004 364.004 187.004 .004 .004 364 183 @b -.004 -.004 367.004 187.004 .004 .004 367 183 @b -.004 -.004 370.004 187.004 .004 .004 370 183 @b -.004 -.004 373.004 187.004 .004 .004 373 183 @b -.004 -.004 377.004 187.004 .004 .004 377 183 @b -.004 -.004 380.004 187.004 .004 .004 380 183 @b -.004 -.004 383.004 187.004 .004 .004 383 183 @b -.004 -.004 386.004 187.004 .004 .004 386 183 @b -.004 -.004 390.004 187.004 .004 .004 390 183 @b -.004 -.004 393.004 187.004 .004 .004 393 183 @b -.004 -.004 396.004 187.004 .004 .004 396 183 @b -.004 -.004 400.004 187.004 .004 .004 400 183 @b -.004 -.004 403.004 187.004 .004 .004 403 183 @b -.004 -.004 406.004 187.004 .004 .004 406 183 @b -.004 -.004 409.004 187.004 .004 .004 409 183 @b -.004 -.004 413.004 187.004 .004 .004 413 183 @b -.004 -.004 416.004 187.004 .004 .004 416 183 @b -.004 -.004 419.004 187.004 .004 .004 419 183 @b -.004 -.004 423.004 187.004 .004 .004 423 183 @b -.004 -.004 426.004 187.004 .004 .004 426 183 @b -.004 -.004 429.004 187.004 .004 .004 429 183 @b -.004 -.004 432.004 187.004 .004 .004 432 183 @b -.004 -.004 436.004 187.004 .004 .004 436 183 @b -.004 -.004 439.004 187.004 .004 .004 439 183 @b -.004 -.004 442.004 187.004 .004 .004 442 183 @b -.004 -.004 445.004 187.004 .004 .004 445 183 @b -.004 -.004 449.004 187.004 .004 .004 449 183 @b -.004 -.004 452.004 187.004 .004 .004 452 183 @b -.004 -.004 455.004 187.004 .004 .004 455 183 @b -.004 -.004 459.004 187.004 .004 .004 459 183 @b -.004 -.004 462.004 187.004 .004 .004 462 183 @b -.004 -.004 465.004 187.004 .004 .004 465 183 @b -.004 -.004 468.004 187.004 .004 .004 468 183 @b -.004 -.004 472.004 187.004 .004 .004 472 183 @b -.004 -.004 475.004 187.004 .004 .004 475 183 @b -.004 -.004 478.004 187.004 .004 .004 478 183 @b -.004 -.004 482.004 187.004 .004 .004 482 183 @b -.004 -.004 485.004 187.004 .004 .004 485 183 @b -.004 -.004 488.004 187.004 .004 .004 488 183 @b -.004 -.004 491.004 187.004 .004 .004 491 183 @b -.004 -.004 495.004 187.004 .004 .004 495 183 @b -.004 -.004 498.004 187.004 .004 .004 498 183 @b -.004 -.004 501.004 187.004 .004 .004 501 183 @b -.004 -.004 504.004 187.004 .004 .004 504 183 @b -.004 -.004 508.004 187.004 .004 .004 508 183 @b -.004 -.004 511.004 187.004 .004 .004 511 183 @b -.004 -.004 514.004 187.004 .004 .004 514 183 @b -.004 -.004 518.004 187.004 .004 .004 518 183 @b -.004 -.004 521.004 187.004 .004 .004 521 183 @b -.004 -.004 524.004 187.004 .004 .004 524 183 @b -.004 -.004 527.004 187.004 .004 .004 527 183 @b -.004 -.004 531.004 187.004 .004 .004 531 183 @b -.004 -.004 534.004 187.004 .004 .004 534 183 @b :e 315 187 :M 0 G f8_6 sf .62(0.00)A 315 159 :M .62(0.01)A 315 132 :M .62(0.10)A 315 104 :M .62(1.00)A 311 77 :M .598(10.00)A 307 49 :M .584(100.00)A 332 197 :M f8_5 sf .244(-30)A 348 197 :M .244(-25)A 364 197 :M .244(-20)A 381 197 :M .244(-15)A 397 197 :M .244(-10)A 416 197 :M .379(-5)A 433 197 :M (0)S 449 197 :M (5)S 464 197 :M .219(10)A 480 197 :M .219(15)A 497 197 :M .219(20)A 513 197 :M .219(25)A 529 197 :M .219(30)A 411 199 52 12 rC 412 208 :M f8_6 sf .446 .045(Overhead \(Bytes\))J gR gS 0 0 575 755 rC :e gS 311 180 :T 270 rotate -311 -180 :T 311 180 :M 0 G f8_6 sf .379 .038(Percentage of Packets \(log scale\))J gR 337 46 195 28 rC 514 64 :M 0 G f8_9 sf -.365(PPP)A gR gS 334 222 200 146 rC 334 336.004 -.004 .004 534.004 336 .004 334 336 @a 334 309.004 -.004 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543.004 .004 .004 423 436 @b :e .75 G np 426 431 :M 429 431 :L 429 543 :L 426 543 :L 426 431 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 426 431.004 -.004 .004 429.004 431 .004 426 431 @a -.004 -.004 429.004 543.004 .004 .004 429 431 @b 426 543.004 -.004 .004 429.004 543 .004 426 543 @a -.004 -.004 426.004 543.004 .004 .004 426 431 @b :e .75 G np 429 415 :M 432 415 :L 432 543 :L 429 543 :L 429 415 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 429 415.004 -.004 .004 432.004 415 .004 429 415 @a -.004 -.004 432.004 543.004 .004 .004 432 415 @b 429 543.004 -.004 .004 432.004 543 .004 429 543 @a -.004 -.004 429.004 543.004 .004 .004 429 415 @b :e .75 G np 432 441 :M 436 441 :L 436 543 :L 432 543 :L 432 441 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 432 441.004 -.004 .004 436.004 441 .004 432 441 @a -.004 -.004 436.004 543.004 .004 .004 436 441 @b 432 543.004 -.004 .004 436.004 543 .004 432 543 @a -.004 -.004 432.004 543.004 .004 .004 432 441 @b :e .75 G np 436 451 :M 439 451 :L 439 543 :L 436 543 :L 436 451 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 436 451.004 -.004 .004 439.004 451 .004 436 451 @a -.004 -.004 439.004 543.004 .004 .004 439 451 @b 436 543.004 -.004 .004 439.004 543 .004 436 543 @a -.004 -.004 436.004 543.004 .004 .004 436 451 @b :e .75 G np 439 463 :M 442 463 :L 442 543 :L 439 543 :L 439 463 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 439 463.004 -.004 .004 442.004 463 .004 439 463 @a -.004 -.004 442.004 543.004 .004 .004 442 463 @b 439 543.004 -.004 .004 442.004 543 .004 439 543 @a -.004 -.004 439.004 543.004 .004 .004 439 463 @b :e .75 G np 442 477 :M 445 477 :L 445 543 :L 442 543 :L 442 477 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 442 477.004 -.004 .004 445.004 477 .004 442 477 @a -.004 -.004 445.004 543.004 .004 .004 445 477 @b 442 543.004 -.004 .004 445.004 543 .004 442 543 @a -.004 -.004 442.004 543.004 .004 .004 442 477 @b :e .75 G np 445 527 :M 449 527 :L 449 543 :L 445 543 :L 445 527 :L eofill :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b 445 527.004 -.004 .004 449.004 527 .004 445 527 @a -.004 -.004 449.004 543.004 .004 .004 449 527 @b 445 543.004 -.004 .004 449.004 543 .004 445 543 @a -.004 -.004 445.004 543.004 .004 .004 445 527 @b gR :a 0(\377\377\377\377\377\377\377\377)(\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377\377)fg null :b gS 299 394 240 179 rC -.004 -.004 334.004 543.004 .004 .004 334 405 @b 332 543.004 -.004 .004 334.004 543 .004 332 543 @a 332 515.004 -.004 .004 334.004 515 .004 332 515 @a 332 488.004 -.004 .004 334.004 488 .004 332 488 @a 332 460.004 -.004 .004 334.004 460 .004 332 460 @a 332 433.004 -.004 .004 334.004 433 .004 332 433 @a 332 405.004 -.004 .004 334.004 405 .004 332 405 @a 334 543.004 -.004 .004 534.004 543 .004 334 543 @a -.004 -.004 334.004 545.004 .004 .004 334 541 @b -.004 -.004 337.004 545.004 .004 .004 337 541 @b -.004 -.004 341.004 545.004 .004 .004 341 541 @b -.004 -.004 344.004 545.004 .004 .004 344 541 @b -.004 -.004 347.004 545.004 .004 .004 347 541 @b -.004 -.004 350.004 545.004 .004 .004 350 541 @b -.004 -.004 354.004 545.004 .004 .004 354 541 @b -.004 -.004 357.004 545.004 .004 .004 357 541 @b -.004 -.004 360.004 545.004 .004 .004 360 541 @b -.004 -.004 364.004 545.004 .004 .004 364 541 @b -.004 -.004 367.004 545.004 .004 .004 367 541 @b -.004 -.004 370.004 545.004 .004 .004 370 541 @b -.004 -.004 373.004 545.004 .004 .004 373 541 @b -.004 -.004 377.004 545.004 .004 .004 377 541 @b -.004 -.004 380.004 545.004 .004 .004 380 541 @b -.004 -.004 383.004 545.004 .004 .004 383 541 @b -.004 -.004 386.004 545.004 .004 .004 386 541 @b -.004 -.004 390.004 545.004 .004 .004 390 541 @b -.004 -.004 393.004 545.004 .004 .004 393 541 @b -.004 -.004 396.004 545.004 .004 .004 396 541 @b -.004 -.004 400.004 545.004 .004 .004 400 541 @b -.004 -.004 403.004 545.004 .004 .004 403 541 @b -.004 -.004 406.004 545.004 .004 .004 406 541 @b -.004 -.004 409.004 545.004 .004 .004 409 541 @b -.004 -.004 413.004 545.004 .004 .004 413 541 @b -.004 -.004 416.004 545.004 .004 .004 416 541 @b -.004 -.004 419.004 545.004 .004 .004 419 541 @b -.004 -.004 423.004 545.004 .004 .004 423 541 @b -.004 -.004 426.004 545.004 .004 .004 426 541 @b -.004 -.004 429.004 545.004 .004 .004 429 541 @b -.004 -.004 432.004 545.004 .004 .004 432 541 @b -.004 -.004 436.004 545.004 .004 .004 436 541 @b -.004 -.004 439.004 545.004 .004 .004 439 541 @b -.004 -.004 442.004 545.004 .004 .004 442 541 @b -.004 -.004 445.004 545.004 .004 .004 445 541 @b -.004 -.004 449.004 545.004 .004 .004 449 541 @b -.004 -.004 452.004 545.004 .004 .004 452 541 @b -.004 -.004 455.004 545.004 .004 .004 455 541 @b -.004 -.004 459.004 545.004 .004 .004 459 541 @b -.004 -.004 462.004 545.004 .004 .004 462 541 @b -.004 -.004 465.004 545.004 .004 .004 465 541 @b -.004 -.004 468.004 545.004 .004 .004 468 541 @b -.004 -.004 472.004 545.004 .004 .004 472 541 @b -.004 -.004 475.004 545.004 .004 .004 475 541 @b -.004 -.004 478.004 545.004 .004 .004 478 541 @b -.004 -.004 482.004 545.004 .004 .004 482 541 @b -.004 -.004 485.004 545.004 .004 .004 485 541 @b -.004 -.004 488.004 545.004 .004 .004 488 541 @b -.004 -.004 491.004 545.004 .004 .004 491 541 @b -.004 -.004 495.004 545.004 .004 .004 495 541 @b -.004 -.004 498.004 545.004 .004 .004 498 541 @b -.004 -.004 501.004 545.004 .004 .004 501 541 @b -.004 -.004 504.004 545.004 .004 .004 504 541 @b -.004 -.004 508.004 545.004 .004 .004 508 541 @b -.004 -.004 511.004 545.004 .004 .004 511 541 @b -.004 -.004 514.004 545.004 .004 .004 514 541 @b -.004 -.004 518.004 545.004 .004 .004 518 541 @b -.004 -.004 521.004 545.004 .004 .004 521 541 @b -.004 -.004 524.004 545.004 .004 .004 524 541 @b -.004 -.004 527.004 545.004 .004 .004 527 541 @b -.004 -.004 531.004 545.004 .004 .004 531 541 @b -.004 -.004 534.004 545.004 .004 .004 534 541 @b :e 315 545 :M 0 G f8_6 sf .62(0.00)A 315 517 :M .62(0.01)A 315 490 :M .62(0.10)A 315 462 :M .62(1.00)A 311 435 :M .598(10.00)A 307 407 :M .584(100.00)A 332 555 :M f8_5 sf .244(-30)A 348 555 :M .244(-25)A 364 555 :M .244(-20)A 381 555 :M .244(-15)A 397 555 :M .244(-10)A 416 555 :M .379(-5)A 433 555 :M (0)S 449 555 :M (5)S 464 555 :M .219(10)A 480 555 :M .219(15)A 497 555 :M .219(20)A 513 555 :M .219(25)A 529 555 :M .219(30)A 411 557 52 12 rC 412 566 :M f8_6 sf .446 .045(Overhead \(Bytes\))J gR gS 0 0 575 755 rC :e gS 311 537 :T 270 rotate -311 -537 :T 311 537 :M 0 G f8_6 sf .379 .038(Percentage of Packets \(log scale\))J gR 337 404 195 28 rC 486 422 :M 0 G f8_9 sf -.19(COBS/ZPE)A gR :e gS 0 0 575 755 rC 369 592 :M 0 G f3_10 sf (Figure )S 401 592 :M (6. MPEG Trace)S 306 602 :M f1_8 sf .077 .008(Histograms showing, for each amount of overhead indicated on)J 306 611 :M 1.072 .107(the horizontal axis, the percentage of packets that incur that)J 306 620 :M .468 .047(overhead. For our traces 0.001% of the packets is less than one)J 306 629 :M .677 .068(packet, and since the only number of packets less than one is)J 306 638 :M .419 .042(zero packets, we chose 0.001% as the base line of the log scale.)J 306 647 :M 1.396 .14(For PPP the overhead begins at zero and increases up to a)J 306 656 :M .545 .054(maximum of 20 bytes. For COBS the overhead is concentrated)J 306 665 :M .76 .076(in a tight spike in the middle: every packet incurred between)J 306 674 :M .172 .017(one and five bytes of overhead. For COBS/ZPE the overhead is)J 306 683 :M 1.271 .127(at most four bytes; most packets actually incurred negative)J 306 692 :M .162 .016(overhead \(net compression\) and in fact the histogram continues)J 306 701 :M .426 .043(off the scale far to the left: A few especially compressible pack-)J 306 710 :M (ets incurred a negative overhead of more than 500 bytes.)S endp %%PageTrailer %%Page: 11 11 %%BeginPageSetup initializepage (Stuart Cheshire; document: Microsoft Word - COBS; page: 11 of 12)setjob %%EndPageSetup gS 0 0 575 755 rC 269 736 :M f0_10 sf (\321 )S 282 736 :M (11 \321)S 36 48 :M f3_14 sf (6)S 43 48 :M (.)S 46 48 :M ( )S 58 48 :M (Conclusions)S 36 68 :M f1_10 sf .181 .018(COBS is a useful addition to our arsenal of techniques)J 36 80 :M .806 .081(for data communications. It is simple to understand,)J 36 92 :M .357 .036(easy to implement, and gives significant performance)J 36 104 :M 1.135 .114(benefits by allowing much larger packets to be sent)J 36 116 :M (over a given piece of network hardware.)S 36 134 :M 1.633 .163(COBS is easy to implement efficiently in software,)J 36 146 :M .735 .074(even for primitive microprocessors. In one project in)J 36 158 :M 1.489 .149(our group [Pog96] COBS has been implemented in)J 36 170 :M .309 .031(hand-written eight-bit assembly code to allow a small)J 36 182 :M 2.015 .201(embedded control device to connect to a wireless)J 36 194 :M .759 .076(interface and communicate with Internet hosts using)J 36 206 :M 1.727 .173(UDP/IP. The device needs to be able to send and)J 36 218 :M .968 .097(receive 1K blocks of data but does not have enough)J 36 230 :M .401 .04(memory for either an implementation of TCP or of IP)J 36 242 :M 2.912 .291(fragmentation and reassembly. Without COBS it)J 36 254 :M 1.57 .157(would have been much harder to make the device)J 36 266 :M .588 .059(work. We would have had to add extra memory and)J 36 278 :M 1.855 .185(would have had to do a lot of extra development)J 36 290 :M .174 .017(work to implement TCP and/or IP fragmentation and)J 36 302 :M -.001(reassembly in eight -bit assembly code.)A 36 320 :M 1.881 .188(In retrospect it is surprising that COBS or similar)J 36 332 :M .165 .017(techniques have never been described in the literature)J 36 344 :M .682 .068(before. Perhaps one reason is that, until the develo)J 268 344 :M (p-)S 36 356 :M 2.757 .276(ment of unlicensed radio transmitters under the)J 36 368 :M 1.093 .109(FCC\325s Part 15 ISM band rules, the networking co)J 265 368 :M (m-)S 36 380 :M 1.575 .157(munity had not confronted the problem of dealing)J 36 392 :M .17 .017(with devices where the maximum transmission size is)J 36 404 :M -.001(a hard limit dictated at the physical level.)A 36 422 :M .801 .08(We see no reason why COBS should not become the)J 36 434 :M .222 .022(algorithm of choice, not only for packet radio applic)J 269 434 :M (a-)S 36 446 :M 2.85 .285(tions, but for all future software that uses byte)J 36 458 :M .948 .095(stuffing. In principle existing software could also be)J 36 470 :M .712 .071(rewritten to use COBS, but in practice market inertia)J 36 482 :M .035 .004(makes this unlikely. For software that currently works)J 36 494 :M 2.283 .228(acceptably, such as PPP over telephone modems,)J 36 506 :M .858 .086(there is little incentive to change to a new encoding,)J 36 518 :M .201 .02(but for all new software that requires byte stuffing we)J 36 530 :M .49 .049(believe that COBS should be given serious considera-)J 36 542 :M (tion.)S 36 560 :M 1.562 .156(The benefit of conventional two-for-one substution)J 36 572 :M 1.035 .104(encodings like PPP, compared to COBS, is that they)J 36 584 :M .422 .042(may encode small packets with no overhead whereas)J 36 596 :M .802 .08(basic COBS always adds exactly one byte. However,)J 36 608 :M 1.395 .14(three factors make this apparent benefit of conven-)J 36 620 :M -.002(tional byte stuffing algorithms less compelling.)A 36 638 :M .205 .02(The main factor is that the pressing problem for many)J 36 650 :M .447 .045(new wireless devices is that of sending large packets,)J 36 662 :M 1.345 .135(not small packets. It is the large packets that cause)J 36 674 :M .067 .007(problems, because the software must be able to ensure)J 36 686 :M 1.932 .193(that they do not exceed the device\325s physical and)J 36 698 :M (regulatory limits.)S 299 46 :M .695 .069(Another factor is that the move to IPv6 [RFC1883] in)J 299 58 :M .009 .001(the future means that the very smallest packets, where)J 299 70 :M .474 .047(PPP does better than COBS, will become increasingly)J 299 82 :M 3.544 .354(uncommon. Although we expect to see header)J 299 94 :M 2.234 .223(compression techniques being used to reduce the)J 299 106 :M 1.806 .181(overhead of the IPv6 header \(especially over slow)J 299 118 :M 2.688 .269(links\), those header compression techniques will)J 299 130 :M .702 .07(reduce the header size by amounts measured in tens)J 299 142 :M 1.772 .177(of bytes, dwarfing concerns about differences of a)J 299 154 :M (single byte here and there.)S 299 172 :M .568 .057(Finally, if even a single byte of overhead is unaccept-)J 299 184 :M .971 .097(able, a trivial modification to COBS to support Zero)J 299 196 :M 1.404 .14(Pair Elimination makes it perform better than PPP,)J 299 208 :M 1.053 .105(even for short packets. COBS/ZPE beats both PPP\325s)J 299 220 :M (average overhead and its worst case overhead.)S 299 238 :M 3.11 .311(Further information about COBS is available in)J 299 250 :M ([Che97].)S 299 276 :M f3_14 sf (7)S 306 276 :M (.)S 309 276 :M ( )S 321 276 :M (Acknowledgements)S 299 296 :M f1_10 sf 2.071 .207(We are grateful for the helpful comments on this)J 299 308 :M 2.553 .255(paper from Craig Partridge, Diane Tang, Xinhua)J 299 320 :M 1.809 .181(Zhao, Petros Maniatis, Mema Roussopoulos, Elliot)J 299 332 :M .62 .062(Poger, Kevin Lai, Akihiro Tominaga, Jonathan Stone,)J 299 344 :M 1.631 .163(Hugh Holbrook, Brendon Whateley, Tom Costello,)J 299 356 :M .845 .084(Anna Patterson, Neil Crellin, Edouard Bugnion, Eric)J 299 368 :M 4.309 .431(Hawkes, Maynard Handley, Ann McLaughlin,)J 299 380 :M .376 .038(Richard Ford, Charlie Payne, Nicholas Tingle and the)J 299 392 :M (anonymous SIGCOMM reviewers.)S 299 410 :M 1.064 .106(We also thank Hugh Holbrook for making traces of)J 299 422 :M .124 .012(his wireless traffic available to us, including the three-)J 299 434 :M (day trace presented in this paper.)S 299 452 :M .998 .1(This work was supported by Rockwell International)J 299 464 :M 2.357 .236(Science Center, FX Palo Alto Laboratory, AT&T/)J 299 476 :M 1.029 .103(Lucent and NSF Faculty Career grant number CCR-)J 299 488 :M (9501799.)S 299 514 :M f3_14 sf (8)S 306 514 :M (.)S 309 514 :M ( )S 321 514 :M (References)S 299 530 :M f1_10 sf ([ARRL84])S 357 530 :M .185 .019(AX.25 Amateur Packet-Radio Link-Layer)J 357 542 :M 3.864 .386(Protocol Version 2.0, October 1984.)J 357 554 :M .923 .092(Available from the American Radio R)J 532 554 :M (e-)S 357 566 :M 1.189 .119(lay League, Newington CT USA 06111,)J 357 578 :M (and other sources.)S 299 592 :M ([CA-96.26])S 357 592 :M (CERT)S f1_6 sf 0 -4 rm (SM)S 0 4 rm 392 592 :M f1_10 sf 1.85 .185( Advisory CA-96.26. Denial-of-)J 357 604 :M (Service Attack via ping, December 1996.)S 299 618 :M ([Che95])S 357 618 :M .438 .044(Stuart Cheshire and Mary Baker. Experi-)J 357 630 :M 4.265 .427(ences with a Wireless Network in)J 357 642 :M -.004(MosquitoNet. )A 421 642 :M f2_10 sf (IEEE Micro)S 470 642 :M f1_10 sf -.006(, February 1996.)A 357 654 :M .054 .005(An earlier version of this paper appeared)J 357 666 :M 2.296 .23(in )J 371 666 :M f2_10 sf 1.638 .164(Proceedings of the IEEE Hot Interco)J 531 666 :M (n-)S 357 678 :M (nects Symposium \32595)S f1_10 sf (, August 1995.)S 299 692 :M ([Che97])S 357 692 :M .331 .033(Stuart Cheshire. )J f2_10 sf .409 .041(Consistent Overhead Byte)J 357 704 :M .093(Stuffing)A f1_10 sf .459 .046(, Ph.D. Thesis, Computer Science)J 357 716 :M (Department, Stanford, 1997.)S endp %%PageTrailer %%Page: 12 12 %%BeginPageSetup initializepage (Stuart Cheshire; document: Microsoft Word - COBS; page: 12 of 12)setjob %%EndPageSetup gS 0 0 575 755 rC 269 736 :M f0_10 sf (\321 )S 282 736 :M (12 \321)S 36 46 :M f1_10 sf ([Cla90])S 94 46 :M 2.013 .201(David Clark and David Tennenhouse.)J 94 58 :M 1.062 .106(Architectural Considerations for a New)J 94 70 :M 1.861 .186(Generation of Protocols. )J f2_10 sf 2.368 .237(Proceedings of)J 94 82 :M (ACM SIGCOMM 1990,)S f1_10 sf ( Septe)S 221 82 :M (m)S 230 82 :M (ber 1990.)S 36 96 :M ([ECMA40])S 94 96 :M 4.86 .486(European Computer Manufacturers)J 94 108 :M 1.189 .119(Association Standard ECMA-40: HDLC)J 94 120 :M (Frame Structure.)S 36 134 :M ([Hum81])S 94 134 :M 5.247 .525(Pierre Humblet. Generalization of)J 94 146 :M .781 .078(Huffman Coding to Minimize the Pro)J 268 146 :M (b-)S 94 158 :M .491 .049(ability of Buffer Overflow. )J f2_10 sf .762 .076(IEEE Transac-)J 94 170 :M .372 .037(tions on Information )J 182 170 :M f6_10 sf .095(Theory)A f5_10 sf .285 .029(, Vol. IT-27, pp.)J 94 182 :M (230-232, March 1981.)S 36 196 :M f1_10 sf ([Huff52])S 94 196 :M 3.933 .393(D. A. Huffman. A Method for the)J 94 208 :M 1.398 .14(Construction of Minimum-Redundancy)J 94 220 :M 2.822 .282(Codes. )J 132 220 :M f2_10 sf 2.518 .252(Proceedings of the IRE,)J f1_10 sf 2.762 .276( Vol.40,)J 94 232 :M (No.9, September 1952, pp.1098-1101.)S 36 246 :M ([IEEE802.5])S 94 246 :M .386 .039(Token Ring Access Method and Physical)J 94 258 :M .856 .086(Layer Specifications. Institute of Electr)J 271 258 :M (i-)S 94 270 :M .664 .066(cal and Electronic Engineers, IEEE Sta)J 268 270 :M (n-)S 94 282 :M (dard )S 118 282 :M f5_10 sf (802.5-1989, 1989.)S 36 296 :M f1_10 sf ([ISO10918])S 94 296 :M 3.589 .359(ISO Committee Draft 10918. Digital)J 94 308 :M 1.036 .104(compression and coding of continuous-)J 94 320 :M (tone still images, ISO/IEC 10918, 1991.)S 36 334 :M ([ISO11172])S 94 334 :M .445 .045(ISO Committee Draft 11172. Information)J 94 346 :M 1.35 .135(Technology-Coding of moving pictures)J 94 358 :M .951 .095(and associated audio for digital storage)J 94 370 :M .905 .09(media up to about 1.5 Mbit/s, ISO/IEC)J 94 382 :M (11172-1, 1993.)S 36 396 :M ([Jac89])S 94 396 :M 1.083 .108(V. Jacobson, C. Leres, and S. McCanne.)J 94 408 :M f2_10 sf .057(tcpdump,)A f1_10 sf .424 .042( , June 1989.)S 36 434 :M ([Knu85])S 94 434 :M .573 .057(D. E. Knuth. Dynamic Huffman Coding.)J 94 446 :M f2_10 sf 1.435 .143(Journal of Algorithms,)J f1_10 sf .926 .093( Vol 6, pp 163-180,)J 94 458 :M (1985.)S 36 472 :M ([LZ77])S 94 472 :M 1.025 .102(J. Ziv and A. Lempel. A Universal Alg-)J 94 484 :M .132 .013(orithm for Sequential Data Compression.)J 94 496 :M f2_10 sf 1.198 .12(IEEE Transactions on Information Theory,)J 94 508 :M f1_10 sf (May 1977.)S 36 522 :M ([Pog96])S 94 522 :M 4.932 .493(Elliot Poger. Radioscope, , December 1996.)S 36 560 :M ([RFC959])S 94 560 :M 3.746 .375(J. Postel, J. Reynolds. File Transfer)J 94 572 :M (Protocol \(FTP\). RFC 959, October 1985.)S 36 586 :M ([RFC1055])S 94 586 :M 1.929 .193(J. Romkey. A Nonstandard For Trans-)J 94 598 :M 2.329 .233(mission Of IP Datagrams Over Serial)J 94 610 :M (Lines: SLIP. RFC 1055, June 1988.)S 36 624 :M ([RFC1135])S 94 624 :M 2.184 .218(J. Reynolds. )J 156 624 :M 1.546 .155(The Helminthiasis \(infest-)J 94 636 :M 1.871 .187(ation with parasitic worms\) of the I)J 268 636 :M (n-)S 94 648 :M (ternet)S 120 648 :M (. RFC 1135, December 1989.)S 36 662 :M ([RFC1662])S 94 662 :M 2.848 .285(William Simpson. PPP in HDLC-like)J 94 674 :M (Framing. RFC 1662, July 1994.)S 36 688 :M ([RFC1883])S 94 688 :M .729 .073(Steve Deering and Bob Hinden. Internet)J 94 700 :M 1.002 .1(Protocol, Version 6 \(IPv6\) Specification.)J 94 712 :M (RFC 1883, December 1995.)S 299 46 :M ([US94-15])S 357 46 :M 1.673 .167(United States Title 47 Code of Federal)J 357 58 :M .599 .06(Regulations \(CFR\), Federal Communica-)J 357 70 :M 1.564 .156(tions Commission \(FCC\) Part 15, Low-)J 357 82 :M 4.823 .482(Power Device Regulations, Section)J 357 94 :M (15.247. U.S. Government Printing Office.)S 299 108 :M ([Wel84])S 357 108 :M 4.911 .491(T. Welch. A Technique for High-)J 357 120 :M 2.499 .25(Performance Data Compression. )J 518 120 :M f2_10 sf (Com-)S 357 132 :M (puter,)S f1_10 sf ( June 1984.)S 299 214 :M f3_14 sf (Appendix)S 299 234 :M f1_10 sf (Source Code Listings)S 299 260 :M f4_8 sf (/*)S 299 268 :M ( * StuffData byte stuffs \322length\323 bytes of)S 299 276 :M ( * data at the location pointed to by \322ptr\323,)S 299 284 :M ( * writing the output to the location pointed)S 299 292 :M ( * to by \322dst\323.)S 299 300 :M ( */)S 299 316 :M (#define FinishBlock\(X\) \\)S 317 324 :M (\(*code_ptr = \(X\), \\)S 317 332 :M (code_ptr = dst++, \\)S 317 340 :M (code = 0x01\))S 299 356 :M (void StuffData\(const unsigned char *ptr,)S 299 364 :M (unsigned long length, unsigned char *dst\))S 317 372 :M ({)S 317 380 :M (const unsigned char *end = ptr + length;)S 317 388 :M (unsigned char *code_ptr = dst++;)S 317 396 :M (unsigned char code = 0x01;)S 317 412 :M (while \(ptr < end\))S 335 420 :M ({)S 335 428 :M (if \(*ptr == 0\) FinishBlock\(code\);)S 335 436 :M (else)S 353 444 :M ({)S 353 452 :M (*dst++ = *ptr;)S 353 460 :M (code++;)S 353 468 :M (if \(code == 0xFF\) FinishBlock\(code\);)S 353 476 :M (})S 335 484 :M (ptr++;)S 335 492 :M (})S 317 500 :M (FinishBlock\(code\);)S 317 508 :M (})S 349 529 :M f3_10 sf (Listing 1. COBS Encoding in C)S 299 556 :M f4_8 sf (/*)S 299 564 :M ( * UnStuffData decodes \322length\323 bytes of)S 299 572 :M ( * data at the location pointed to by \322ptr\323,)S 299 580 :M ( * writing the output to the location pointed)S 299 588 :M ( * to by \322dst\323.)S 299 596 :M ( */)S 299 612 :M (void UnStuffData\(const unsigned char *ptr,)S 299 620 :M (unsigned long length, unsigned char *dst\))S 317 628 :M ({)S 317 636 :M (const unsigned char *end = ptr + length;)S 317 644 :M (while \(ptr < end\))S 335 652 :M ({)S 335 660 :M (int i, code = *ptr++;)S 335 668 :M (for \(i=1; i