A076710 Weight distribution of [137, 69, 21] 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, 0, 0, 51238, 270164, 409904, 1947044, 4057118, 17476816, 99448300, 390689750, 1445284240, 5203023264, 18055712240, 59809546795, 189973513945, 581095454420, 1709208146190

Offset

0,22

Comments

Taken from the Tjhai-Tomlinson web site.

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

Links

Sean A. Irvine, Table of n, a(n) for n = 0..137

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]

C. Tjhai, M. Tomlinson, M. Ambroze, M. Ahmed, On the Weight Distribution of the Extended Quadratic Residue Code of Prime 137, arXiv:0801.3926 [cs.IT], 2008.

Crossrefs

Cf. A097937.

Sequence in context: A206236 A385360 A233901 * A203405 A152512 A344644

Adjacent sequences: A076707 A076708 A076709 * A076711 A076712 A076713

Keyword

nonn,fini,full

Author

N. J. A. Sloane, Apr 14 2009

Extensions

Corrected (using the Tjhai et al. arXiv article) by Eric M. Schmidt, Nov 17 2017

Status

approved