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Published October 2004 | Version Submitted
Journal Article Open

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

Creators

  • 1. ROR icon University of Ulm
  • 2. ROR icon Carl von Ossietzky University of Oldenburg
  • 3. ROR icon University of California, Davis

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.

Additional Information

© 2003 Elsevier Inc. Received 6 July 2002, Revised 17 November 2003, Available online 6 January 2004. We thank O. Jahn for computations in connection with Theorem 13 at an early stage of this work. We also thank the referees for their comments.

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Additional details

Identifiers

Eprint ID
82034
DOI
10.1016/j.ffa.2003.12.001
Resolver ID
CaltechAUTHORS:20171004-090734197

Related works

Describes
10.1016/j.ffa.2003.12.001 (DOI)
http://arxiv.org/abs/math/0311289 (URL)

Dates

Created
2017-10-04
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Updated
2021-11-15
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Mathematics Department