A106056 - OEIS

A106056

Weight distribution of [13,6,6]_3 ternary code p_{13}.

1, 0, 156, 494, 78

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

REFERENCES

J. H. Conway and N. J. A. Sloane, Low-dimensional lattices II: Subgroups of GL(n,Z), Proc. Royal Soc. A 419 (1988), 29-68.

F. J. MacWilliams and N. J. A. Sloane, The Theory of Error-Correcting Codes, Elsevier/North Holland, 1977, p. 695.

LINKS

G. Nebe, E. M. Rains and N. J. A. Sloane, Self-Dual Codes and Invariant Theory, Springer, Berlin, 2006.

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

EXAMPLE

A_0 = 1, A_6 = 156, A_9 = 494, A_{12} = 78.

CROSSREFS

KEYWORD

nonn,fini,full

AUTHOR

EXTENSIONS

It would be good to have a set of generators (e.g. a MAGMA program to produce this code).

It would be good to also have the weight distribution of the dual code.

STATUS

approved