A030510 - OEIS

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A030510

Graham-Sloane-type lower bound on the size of a ternary (n,3,10) constant-weight code.

0

49, 490, 2704, 10847, 35346, 99196, 248491, 568993, 1211033, 2425515, 4614394, 8399563, 14714789, 24926034, 40986248, 65631574, 102626730, 157068288, 235755520, 347639496, 504362220, 720898682, 1016315904

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OFFSET

10,1

LINKS

Table of n, a(n) for n=10..32.

M. Svanstrom, A lower bound for ternary constant weight codes, IEEE Trans. on Information Theory, Vol. 43, pp. 1630-1632, Sep. 1997.

FORMULA

a(n) = ceiling(binomial(n, w) * 2^w / (2*n + 1)) with w=10.

CROSSREFS

Sequence in context: A263707 A061621 A337356 * A104935 A110203 A263704

Adjacent sequences: A030507 A030508 A030509 * A030511 A030512 A030513

KEYWORD

nonn

AUTHOR

Mattias Svanstrom (mattias(AT)isy.liu.se)

STATUS

approved