Vololona Harinoro Rakotomalala

collaborators

2 papers

cs.IT2017

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

Harinaivo Andriatahiny, Vololona Harinoro Rakotomalala

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 pre…

cs.IT2016

The Generalized Reed-Muller codes in a modular group algebra

Harinaivo Andriatahiny, Vololona Harinoro Rakotomalala

First we study some properties of the modular group algebra $F_{p^{r}} [G]$ where $G$ is the additive group of a Galois ring of characteristic $p^{r}$ and $F_{p^{r}}$ is…