A080953 Weight distribution of [151,76,19] binary quadratic-residue (or QR) code.

1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3775, 24915, 0, 0, 113250, 604000, 0, 0, 30256625, 133993625, 0, 0, 8292705580, 31097645925, 0, 0, 1302257122605, 4196161839505, 0, 0, 113402818847850, 317527892773980, 0

Offset

0,20

Comments

Taken from the Tjhai-Tomlinson web site.

According to Boston and Hao, the Tjhai-Tomlinson web site gives several erroneous values, but their book with Ambroze, Ahmed, and Jibril gives correct values. - Eric M. Schmidt, Nov 17 2017

Links

Sean A. Irvine, Table of n, a(n) for n = 0..151

Nigel Boston and Jing Hao, The Weight Distribution of Quasi-quadratic Residue Codes, arXiv:1705.06413 [cs.IT], 2017.

C. J. Tjhai and Martin Tomlinson, Weight Distributions of Quadratic Residue and Quadratic Double Circulant Codes over GF(2) [dead link]

M. Tomlinson, C. J. Tjhai, M. A. Ambroze, M. Ahmed, M. Jibril, Error-Correction Coding and Decoding, Springer, 2017, p. 285.

Crossrefs

Sequence in context: A367791 A364141 A364766 * A178193 A243777 A135200

Adjacent sequences: A080950 A080951 A080952 * A080954 A080955 A080956

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Apr 15 2009

Extensions

Corrected (using the Tomlinson et al. book) by Eric M. Schmidt, Nov 17 2017

Status

approved