Complete weight enumerators of generalized doubly-even self-dual codes

Authors:
Gabriele Nebe;H. -G. Quebbemann;E. M. Rains;N. J. A. Sloane
Affiliations:
Abteilung Reine Mathematik, Universität Ulm, Ulm 89069,Germany;Fachbereich Mathematik, Universität Oldenburg, Oldenburg 26111,Germany;Mathematics Department, University of California Davis, Davis, CA 95616,USA;Information Sciences Research, AT&T Shannon Labs, Florham Park, NJ 07932-0971,USA
Venue:
Finite Fields and Their Applications
Year:
2004

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Abstract

For any q which is a power of 2 we describe a finite subgroup of GL"q(C) under which the complete weight enumerators of generalized doubly-even self-dual codes over F"q are invariant. An explicit description of the invariant ring and some applications to extremality of such codes are obtained in the case q=4.