A030505 Graham-Sloane-type lower bound on the size of a ternary (n,3,5) constant-weight code.

3, 15, 45, 106, 213, 384, 643, 1014, 1526, 2210, 3100, 4236, 5658, 7411, 9541, 12101, 15144, 18727, 22910, 27758, 33337, 39717, 46971, 55175, 64410, 74758, 86304, 99139, 113355, 129047, 146314, 165257, 185983, 208600, 233219

Offset

5,1

Links

Table of n, a(n) for n=5..39.

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=5.

Crossrefs

Sequence in context: A094191 A050534 A048099 * A301632 A074355 A201868

Adjacent sequences: A030502 A030503 A030504 * A030506 A030507 A030508

Keyword

nonn

Author

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

Status

approved