arXiv subjects

Vololona Harinoro Rakotomalala

Publications and source records attributed to Vololona Harinoro Rakotomalala.

2 recordsLinked to original sources

arXiv2017

New descriptions of the weighted Reed-Muller codes and the homogeneous Reed-Muller codes

We give a description of the weighted Reed-Muller codes over a prime field in a modular algebra. A description of the homogeneous Reed-Muller codes in the same ambient space is presented for the binary case. A decoding procedure using the Landrock-Manz method is developed.

cs.IT↗

arXiv2016

The Generalized Reed-Muller codes in a modular group algebra

First we study some properties of the modular group algebra $\mathbb{F}_{p^r}[G]$ where $G$ is the additive group of a Galois ring of characteristic $p^r$ and $\mathbb{F}_{p^r}$ is the field of $p^r$ elements. Secondly a description of the Generalized Reed-Muller codes over $\mathbb{F}_{p^r}$ in $\mathbb{F}_{p^r}[G]$ is presented.

cs.IT↗