Nebe, Gabriele and Quebbemann, H.-G. and Rains, E. M. and Sloane, N. J. A. (2004) Complete weight enumerators of generalized doubly-even self-dual codes. Finite Fields and Their Applications, 10 (4). pp. 540-550. ISSN 1071-5797. doi:10.1016/j.ffa.2003.12.001. https://resolver.caltech.edu/CaltechAUTHORS:20171004-090734197
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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.
| Item Type: | Article | ||||||||||||
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| 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. | ||||||||||||
| Subject Keywords: | Even self-dual codes; Weight enumerators; Invariant ring; Clifford group | ||||||||||||
| Issue or Number: | 4 | ||||||||||||
| DOI: | 10.1016/j.ffa.2003.12.001 | ||||||||||||
| Record Number: | CaltechAUTHORS:20171004-090734197 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20171004-090734197 | ||||||||||||
| Official Citation: | Gabriele Nebe, H.-G. Quebbemann, E.M. Rains, N.J.A. Sloane, Complete weight enumerators of generalized doubly-even self-dual codes, Finite Fields and Their Applications, Volume 10, Issue 4, October 2004, Pages 540-550, ISSN 1071-5797, https://doi.org/10.1016/j.ffa.2003.12.001. (http://www.sciencedirect.com/science/article/pii/S107157970300100X) | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 82034 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 04 Oct 2017 17:19 | ||||||||||||
| Last Modified: | 15 Nov 2021 19:47 |
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