The Generalized Reed-Muller codes and the radical powers of a modular algebra
Information Theory
2016-01-29 v1 math.IT
Abstract
First, a new proof of Berman and Charpin's characterization of the Reed-Muller codes over the binary field or over an arbitrary prime field is presented. These codes are considered as the powers of the radical of a modular algebra. Secondly, the same method is used for the study of the Generalized Reed-Muller codes over a non prime field.
Keywords
Cite
@article{arxiv.1601.07633,
title = {The Generalized Reed-Muller codes and the radical powers of a modular algebra},
author = {Harinaivo Andriatahiny},
journal= {arXiv preprint arXiv:1601.07633},
year = {2016}
}