[解説ï¼æè¡ç³»]å¿ç¨ã»åºæ¬ã»ã»ãããã»ITãã¹åã
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ãh(x) = x mod n
ã¨ããã¨ï¼ä»»æã®ãã¼ a 㨠b ãè¡çªããæ¡ä»¶ã¯ã©ãããããã§ï¼n ã¯ããã·ã¥è¡¨
ã®å¤§ããã§ããï¼x mod n 㯠x ã n ã§å²ã£ãä½ãã表ãã
ãã¢ãa + b ã n ã®åæ°
ãã¤ãa - b ã n ã®åæ°
ãã¦ãn ã a + b ã®åæ°ï¼
ãã¨ãn ã a - b ã®åæ°
â ãã¼ã¯ã¼ãâ
â 解çâ
ããå¿ç¨æ
å ±æè¡è
åå令åï¼ï¼å¹´ç§åï¼ï¼
ãã¤ãa - b ã n ã®åæ°
>ã¨ããã¨ï¼ä»»æã®ãã¼ a 㨠6 ãè¡çªããæ¡ä»¶ã¯ã©ããã
>ãã¨ãn ã a - 6 ã®åæ°
ããææãããã¨ããããã¾ããè¨æ£ããã¦ãããã¾ãã
> aãnã§å²ã£ãã¨ãã®åï¼k
> bãnã§å²ã£ãã¨ãã®åï¼l
> ä½ãï¼x
> ã¨ããã¨ã
> a = kn + x â x = a - kn
> b = ln + x â x = b - ln
> ä½ãï¼x ãçããå ´åã
> ãa - kn = b - ln
> a - b = kn - ln
> a - b = n(k - l)
> aã¨båã³nã¯èªç¶æ°ã§ãããã¨ãããåã§ããkã¨lãèªç¶æ°ã¨ãªãã¾ãã
> ãã£ã¦ n(kï¼l)ã¯nã®åæ°ã§ãã
> â ä½ãxãåãã¨ããaï¼bã¯nã®åæ° -----(ã¤)
> https://www.ap-siken.com/kakomon/23_aki/q5.html
ãã©ãããããã¨ããããã¾ãã
> ååå¼ã¨ã¯
> https://rikeilabo.com/congruence
> ä¸è¨ãè¸ã¾ãã¦ã
> a mod n=b mod n
> (a mod n)-(b mod n)=0
> (a-b) mod n=0
> ä¸è¨ããã解çã¯ã¤ã§ãã
> åè
> https://www.ap-siken.com/kakomon/23_aki/q5.html
ãã©ãããããã¨ããããã¾ãã
> https://www.ap-siken.com/kakomon/04_aki/q5.html
ãã©ãããããã¨ããããã¾ãã
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[解説ï¼ã»ãã¥ãªãã£ç³»]
ãç·åçåã³å½ç«ç 究éçºæ³äººæ
å ±éä¿¡ç 究æ©æ§ ( NICT ) ã 2019 å¹´ 2æ
ããå®æ½ãã¦ããåçµ " NOTICE " ã«é¢ããè¨è¿°ã®ãã¡ï¼é©åãªãã®ã¯ã©ããã
ãã¢ãNICT ãéç¨ãããã¼ã¯ããã観測網ã«ããã¦ï¼Mirai ãªã©ã®ãã«ã¦ã§ã¢
ããã«ææãã IoT æ©å¨ããå°éãããã±ãããåæããçµæãå½è©²æ©å¨ã®
ãã製é è
ã«æä¾ãï¼å½å
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ãã¤ãå½å
ã®ã°ãã¼ãã« IP ã¢ãã¬ã¹ãæãã IoT æ©å¨ã«ï¼å®¹æã«æ¨æ¸¬ããã
ãããã¹ã¯ã¼ããå
¥åãããã¨ãªã©ã«ãã£ã¦ï¼ãµã¤ãã¼æ»æã«æªç¨ããããã
ãããã®ããæ©å¨ã調æ»ãï¼ã¤ã³ã¿ã¼ããããµã¼ãã¹ãããã¤ããéãã¦å½è©²
ããæ©å¨ã®å©ç¨è
ã«æ³¨æåèµ·ãè¡ãã
ãã¦ãå½å
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ããã®ç³åã«åºã¥ãï¼å©ç¨è
ã®ææãã IoT æ©å¨ã«å¯¾ãã¦
ããç¡æ㧠ãªã¢ã¼ãããï¼ä¾µå
¥ãã¹ãã OS ã®æ¢ç¥ã®èå¼±æ§ã®æç¡ã®èª¿æ»ã
ããå®æ½ãï¼çµæãéç¥ããã¨ã¨ãã«ï¼å©ç¨è
ãèªãå¿
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ããæ¯æ´ããã
ãã¨ã製åã®ãªãªã¼ã¹åã«ï¼ä¸è¦ã«ããããããéæ¾ããã¦ãããã¼ãã®åå¨ï¼
ãããã¹ã¯ã¼ãã®è¨å®æ¼ããªã©ç´ 200 é
ç®ã®èå¼±æ§ã®æç¡ã調æ»ã§ãããã¹ã
ããããããå½å
ã® IoT æ©å¨è£½é è
åãã«å
¬éãï¼å¸å ´ã«æµéãã IoT æ©å¨ã®
ããã»ãã¥ãªãã£åä¸ãç®æãã
â ãã¼ã¯ã¼ãâ ã
â 解çâ
ããæ
å ±å¦çå®å
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ãã¤ãå½å
ã®ã°ãã¼ãã« IP ã¢ãã¬ã¹ãæãã IoT æ©å¨ã«ï¼å®¹æã«æ¨æ¸¬ããã
ãããã¹ã¯ã¼ããå
¥åãããã¨ãªã©ã«ãã£ã¦ï¼ãµã¤ãã¼æ»æã«æªç¨ããããã
ãããã®ããæ©å¨ã調æ»ãï¼ã¤ã³ã¿ã¼ããããµã¼ãã¹ãããã¤ããéãã¦å½è©²
ããæ©å¨ã®å©ç¨è
ã«æ³¨æåèµ·ãè¡ãã
> NOTICE(National Operation Towards IoT Clean Environment)
> NICTã¯ãå¹³æ31å¹´2æ20æ¥(æ°´)ããã¤ã³ã¿ã¼ãããä¸ã®IoTæ©å¨ã«ã容æã«æ¨æ¸¬
> ããããã¹ã¯ã¼ããå
¥åãããã¨ãªã©ã«ããããµã¤ãã¼æ»æã«æªç¨ããã
> ãããã®ããæ©å¨ã調æ»ããå½è©²æ©å¨ã®æ
å ±ãã¤ã³ã¿ã¼ããããããã¤ãã¸
> éç¥ãã¾ããã¤ã³ã¿ã¼ããããããã¤ãã¯ãå½è©²æ©å¨ã®å©ç¨è
ãç¹å®ãã
> 注æåèµ·ãå®æ½ãã¾ããNOTICEãµãã¼ãã»ã³ã¿ã¼ã¯ãå©ç¨è
ããã®ååãã«
> å¿ããé©åãªã»ãã¥ãªãã£å¯¾çãæ¡å
ãã¾ãã
> https://www.nict.go.jp/press/2019/02/01-1.html
ãã©ãããããã¨ããããã¾ãã
> NOTICEã¯ãç·åçãå½ç«ç 究éçºæ³äººæ
å ±éä¿¡ç 究æ©æ§ï¼NICTï¼
> åã³ã¤ã³ã¿ã¼ããããããã¤ããé£æºããIoTæ©å¨ã¸ã®ã¢ã¯ã»ã¹ã«ããã
> ãµã¤ãã¼æ»æã«æªç¨ããããããã®ããæ©å¨ã®èª¿æ»åã³å½è©²æ©å¨ã®
> å©ç¨è
ã¸ã®æ³¨æåèµ·ãè¡ãåçµã§ãã
> https://notice.go.jp/
> ä¸è¨ããã解çã¯ã¤ã§ãã
> åè
> å½ç«ç 究éçºæ³äººæ
å ±éä¿¡ç 究æ©æ§ ( NICT )
> https://www.nict.go.jp/
> https://www.itpassportsiken.com/kakomon/03_haru/q81.html
ãã©ãããããã¨ããããã¾ãã
> https://www.sc-siken.com/kakomon/04_haru/am2_8.html
ãã©ãããããã¨ããããã¾ãã
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[解説ï¼å ¥é]ITãã¹åã
ãJ-CRAT ã«é¢ããè¨è¿°ã¨ãã¦ï¼é©åãªãã®ã¯ã©ããã
ãã¢ãä¼æ¥ãªã©ã«å¯¾ãã¦ï¼24æéä½å¶ã§ãããã¯ã¼ã¯ãããã¤ã¹ãç£è¦ãããµã¼ãã¹
ãããæä¾ããã ã
ãã¤ãã³ã³ãã¥ã¼ã¿ã»ãã¥ãªãã£ã«é¢ããã¤ã³ã·ãã³ããçºçããçµç¹ã«èµ´ãã¦ï¼
ããèªãã主ä½ã¨ãªã£ã¦å¯¾å¿ã®æ¹éãæé ã®çå®ãè¡ãã
ãã¦ãéå·¥ï¼éé»ãªã©ï¼éè¦ã¤ã³ãã©ã§å©ç¨ãããæ©å¨ã®è£½é æ¥è
ãä¸å¿ã«ï¼
ãããµã¤ãä¸æ»æã«é¢ããæ
å ±å
±æã¨æ©æ対å¿ã®å ´ãæä¾ããã
ãã¨ãç¸è«ãåããçµç¹ã«å¯¾ãã¦ï¼æ¨çåãµã¤ãã¼æ»æã®è¢«å®³ä½æ¸ã¨æ»æã®é£é
ããã®é®æãæ¯æ´ããæ´»åãè¡ãã
â ãã¼ã¯ã¼ãâ ã
â 解çâ
ããITãã¹ãã¼ã令åï¼ï¼å¹´æ¥åï¼ï¼
ãã¨ãç¸è«ãåããçµç¹ã«å¯¾ãã¦ï¼æ¨çåãµã¤ãã¼æ»æã®è¢«å®³ä½æ¸ã¨æ»æã®é£é
ããã®é®æãæ¯æ´ããæ´»åãè¡ãã
> ãµã¤ãã¼ã¬ã¹ãã¥ã¼éJ-CRAT(ã¸ã§ã¤ã»ã¯ã©ã¼ã)
> IPAã¯ãæ¨çåãµã¤ãã¼æ»æã®è¢«å®³æ¡å¤§é²æ¢ã®ããã2014å¹´7æ16æ¥ãçµæ¸ç£æ¥ç
> ã®ååã®ãã¨ãç¸è«ãåããçµç¹ã®è¢«å®³ã®ä½æ¸ã¨æ»æã®é£éã®é®æãæ¯æ´ãã
> æ´»åã¨ãã¦ãµã¤ãã¼ã¬ã¹ãã¥ã¼é(J-CRATï¼Cyber Rescue and Advice Team
> against targeted attack of Japan)ãçºè¶³ããã¾ãããJ-CRATã¯ã
> ãæ¨çåãµã¤ãã¼æ»æç¹å¥ç¸è«çªå£ãã«ã¦ãåºãä¸è¬ããç¸è«ãæ
å ±æä¾ã
> åä»ãã¦ãã¾ããæä¾ãããæ
å ±ãåæãã¦èª¿æ»çµæã«ããå©è¨ãå®æ½
> ãã¾ããããã®ä¸ã§ãæ¨çåãµã¤ãã¼æ»æã®è¢«å®³ã®çºçãäºè¦ããããã®å¯¾çã®
> 対å¿é
延ã社ä¼ãç£æ¥ã«é大ãªå½±é¿ãåã¼ãã¨å¤æãããçµç¹ããæ¨çå
> ãµã¤ãã¼æ»æã®é£éã®å
(ã«ã¼ã)ã¨ãªã£ã¦ããã¨æ¨æ¸¬ãããçµç¹ãªã©ã«å¯¾ãã¦
> ã¯ãã¬ã¹ãã¥ã¼æ´»åã«ã¨ã¹ã«ã¬ã¼ã·ã§ã³ãã¦æ¯æ´ãè¡ãã¾ããæ¯æ´æ´»åã¯ã
> ã¡ã¼ã«ãé»è©±ãã¼ã¹ã§ã®ããåããåºæ¬ã¨ãã¾ãããå ´åã«ãã£ã¦ã¯ã
> ç¾å ´çµç¹ã«èµ´ãã¦å®æ½ãããã¨ãããã¾ãã
> https://www.ipa.go.jp/security/J-CRAT/index.html
ãã©ãããããã¨ããããã¾ãã
> J-CRAT / æ¨çåãµã¤ãã¼æ»æç¹å¥ç¸è«çªå£
> https://www.ipa.go.jp/security/tokubetsu/
> ä¸è¨ãããæ¯æ´ããæ´»åãã解çã¯ã¨ã§ãã
ãã©ãããããã¨ããããã¾ãã
> https://www.itpassportsiken.com/kakomon/03_haru/q81.html
ãã©ãããããã¨ããããã¾ãã