Andriatahiny, Harinaivo (2016) The Generalized Reed-Muller Codes and the Radical Powers of a Modular Algebra. British Journal of Mathematics & Computer Science, 18 (5). pp. 1-14. ISSN 22310851
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Official URL: https://doi.org/10.9734/BJMCS/2016/26735
Abstract
S.D. Berman and P. Charpin characterized the Reed-Muller codes over the binary field or over an arbitrary prime field as the powers of the radical in a modular group algebra. We present a new proof of this famous theorem. Furthermore, the same method is used for the study of the Generalized Reed-Muller codes over a non prime field.
| Item Type: | Article |
|---|---|
| Subjects: | Article Archives > Mathematical Science |
| Depositing User: | Unnamed user with email support@articlearchives.org |
| Date Deposited: | 12 Jun 2023 04:45 |
| Last Modified: | 23 Sep 2025 05:53 |
| URI: | http://community.sent2promo.com/id/eprint/1464 |
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