On the Weight Enumerators of Duadic and Quadratic Residue Codes
Carmen-Simona Nedeloaia and
IEEE Trans. Inform. Theory, vol. 51, no. 1, pp. 402-407, Jan. 2005.
In this paper we compute the weight enumerators of various quadratic residue
codes over F2 and F3, together with certain codes
families like the duadic and the quadratic double circulant codes.
We use a parallel algorithm to find the number of codewords of a given
(not too high) weight, from which we deduce by usual classical
methods for self-dual and formally self-dual codes over F2
their associated, previously unknown, weight enumerators.
We compute weight enumerators for lengths as high as 152
for binary codes and 96 for ternary codes.
Duadic codes, quadratic residue code, self-dual code, invariant theory,