One-Generator Quasi-Abelian Codes Revisited
Rings and Algebras
2016-02-09 v1
Abstract
The class of 1-generator quasi-abelian codes over finite fields is revisited. Alternative and explicit characterization and enumeration of such codes are given. An algorithm to find all 1-generator quasi-abelian codes is provided. Two 1-generator quasi-abelian codes whose minimum distances are improved from Grassl's online table are presented.
Cite
@article{arxiv.1602.02376,
title = {One-Generator Quasi-Abelian Codes Revisited},
author = {Somphong Jitman and Patanee Udomkavanich},
journal= {arXiv preprint arXiv:1602.02376},
year = {2016}
}