A028299 Weight distribution of the dodecacode, a [[12,0,6]] quantum-error-correcting code.

1, 0, 0, 396, 1485, 1980, 234

Offset

0,4

Comments

Also weight distribution of nonexistent extremal [12,6,6] code over GF(4) [cf. MacWilliams et al., 1978; Ward]. - N. J. A. Sloane, Aug 13 2010

Links

Table of n, a(n) for n=0..6.

A. R. Calderbank, E. M. Rains, P. W. Shor and N. J. A. Sloane, Quantum error correction via codes over GF(4), arXiv:quant-ph/9608006, 1996-1997; IEEE Trans. Inform. Theory, 44 (1998), 1369-1387.

F. J. MacWilliams, A. M. Odlyzko, N. J. A. Sloane and H. N. Ward, Self-Dual Codes over GF(4), J. Combin. Theory, A 25 288-318 1978. - N. J. A. Sloane, Aug 13 2010

E. M. Rains and N. J. A. Sloane, Self-dual codes, pp. 177-294 of Handbook of Coding Theory, Elsevier, 1998 (Abstract, pdf, ps).

H. N. Ward, Combinatorial polarization, Discr. Math., 26 (1979), 185-197. - N. J. A. Sloane, Aug 13 2010

Crossrefs

Sequence in context: A247989 A126078 A275171 * A205628 A203934 A203927

Adjacent sequences: A028296 A028297 A028298 * A028300 A028301 A028302

Keyword

nonn,fini,full

Author

N. J. A. Sloane.

Status

approved