Group codes over fields are asymptotically good
Information Theory
2020-01-22 v2 Combinatorics
math.IT
Abstract
Group codes are right or left ideals in a group algebra of a finite group over a finite field. Following ideas of Bazzi and Mitter on group codes over the binary field, we prove that group codes over finite fields of any characteristic are asymptotically good.
Keywords
Cite
@article{arxiv.1904.10885,
title = {Group codes over fields are asymptotically good},
author = {Martino Borello and Wolfgang Willems},
journal= {arXiv preprint arXiv:1904.10885},
year = {2020}
}
Comments
8 pages