Complete Weight Enumerators of Generalized Doubly-Even Self-Dual Codes
Number Theory
2014-09-17 v1 Information Theory
math.IT
Abstract
For any q which is a power of 2 we describe a finite subgroup of the group of invertible complex q by q matrices under which the complete weight enumerators of generalized doubly-even self-dual codes over the field with q elements are invariant. An explicit description of the invariant ring and some applications to extremality of such codes are obtained in the case q=4.
Cite
@article{arxiv.math/0311289,
title = {Complete Weight Enumerators of Generalized Doubly-Even Self-Dual Codes},
author = {Gabriele Nebe and H. -G. Quebbemann and E. M. Rains and N. J. A. Sloane},
journal= {arXiv preprint arXiv:math/0311289},
year = {2014}
}