A030510 Graham-Sloane-type lower bound on the size of a ternary (n,3,10) constant-weight code.

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

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