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Research Article Open access CC BY 4.0

The Generalized Reed-Muller Codes in a Modular Group Algebra

Harinaivo Andriatahiny, Vololona Harinoro Rakotomalala

Journal of Advances in Mathematics and Computer Science · pp. 1–15 · Published 3 Jan 2017

10.9734/BJMCS/2017/30145

Abstract

We study some properties of the modular group algebra of the additive group of a Galois ring over a finite field. A description of the Generalized Reed-Muller codes in this group algebra is presented.

Generalized Reed-Muller codes group algebra galois ring jennings basis

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