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Published October 2004 | Submitted
Journal Article Open

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

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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August 22, 2023
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