Decoding binary Reed-Muller codes via Groebner bases
Information Theory
2018-08-30 v1 math.IT
Abstract
The binary Reed-Muller codes can be characterized as the radical powers of a modular algebra. We use the Groebner bases to decode these codes.
Cite
@article{arxiv.1808.09616,
title = {Decoding binary Reed-Muller codes via Groebner bases},
author = {Harinaivo Andriatahiny and Jean Jacques Ferdinand Randriamiarampanahy and Toussaint Joseph Rabeherimanana},
journal= {arXiv preprint arXiv:1808.09616},
year = {2018}
}