A030508 Graham-Sloane-type lower bound on the size of a ternary (n,3,8) constant-weight code.

16, 122, 549, 1837, 5069, 12203, 26510, 53141, 99840, 177811, 302759, 496128, 786545, 1211476, 1819136, 2670647, 3842461, 5429083, 7546084, 10333440, 13959209, 18623545, 24563096, 32055772, 41425920, 53049910, 67362149, 84861549, 106118453, 131782042, 162588234

Offset

8,1

Links

Table of n, a(n) for n=8..38.

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=8.

Crossrefs

Sequence in context: A068880 A053883 A191484 * A006215 A227088 A060633

Adjacent sequences: A030505 A030506 A030507 * A030509 A030510 A030511

Keyword

nonn

Author

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

Status

approved