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Complete Weight Enumerators of Generalized Doubly-Even Self-Dual Codes

Gabriele Nebe·H. -G. Quebbemann·E. M. Rains·N. J. A. Sloane
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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.

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Gabriele Nebe, H. -G. Quebbemann, E. M. Rains, N. J. A. Sloane. 2003-11-17. Complete Weight Enumerators of Generalized Doubly-Even Self-Dual Codes. https://arxiv.org/abs/math/0311289

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