Harinaivo Andriatahiny

The Generalized Reed-Muller Codes in a Modular Group Algebra

Harinaivo Andriatahiny & Vololona Harinoro Rakotomalala · Journal of Advances in Mathematics and Computer Science · 2017

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.

Open access Research Article 10.9734/BJMCS/2017/30145

The Generalized Reed-Muller Codes and the Radical Powers of a Modular Algebra

Harinaivo Andriatahiny · Journal of Advances in Mathematics and Computer Science · 2016

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...

Open access Research Article 10.9734/BJMCS/2016/26735