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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

References (4)

  1. 1 Finite Rings With Identity
  2. 2 On the theory of group codes [DOI]
  3. 3 Une generalisation de la construction de berman des codes de reed et muller p-aires [DOI]
  4. 4 The Generalized Reed-Muller Codes and the Radical Powers of a Modular Algebra [DOI]

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