The Generalized Reed-Muller Codes and the Radical Powers of a Modular Algebra
Journal of Advances in Mathematics and Computer Science · pp. 1–14 · Published 12 Sep 2016
10.9734/BJMCS/2016/26735Abstract
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.
References (6)
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Cited by 6
Harinaivo Andriatahiny, Vololona Harinoro Rakotomalala · Journal of Advances in Mathematics and Computer Science · 2017
Fernanda D. de Melo Hernández, César A. Hernández Melo, Horacio Tapia-Recillas · Communications in Algebra · 2020
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