A030506 Graham-Sloane-type lower bound on the size of a ternary (n,3,6) constant-weight code.

5, 30, 106, 283, 640, 1286, 2366, 4068, 6628, 10333, 15531, 22631, 32111, 44525, 60504, 80766, 106117, 137460, 175799, 222244, 278014, 344448, 423007, 515276, 622978, 747968, 892251, 1057976, 1247448, 1463131, 1707654

Offset

6,1

Links

Table of n, a(n) for n=6..36.

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=6.

Crossrefs

Sequence in context: A288679 A071252 A174002 * A062990 A018213 A359975

Adjacent sequences: A030503 A030504 A030505 * A030507 A030508 A030509

Keyword

nonn

Author

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

Status

approved