New Families of Triple Error Correcting Codes with BCH Parameters
Information Theory
2008-12-18 v1 Discrete Mathematics
math.IT
Abstract
Discovered by Bose, Chaudhuri and Hocquenghem, the BCH family of error correcting codes are one of the most studied families in coding theory. They are also among the best performing codes, particularly when the number of errors being corrected is small relative to the code length. In this article we consider binary codes with minimum distance of 7. We construct new families of codes with these BCH parameters via a generalisation of the Kasami-Welch Theorem.
Keywords
Cite
@article{arxiv.0803.3553,
title = {New Families of Triple Error Correcting Codes with BCH Parameters},
author = {Carl Bracken},
journal= {arXiv preprint arXiv:0803.3553},
year = {2008}
}
Comments
11 pages. Submitted to IEEE Transactions on information Theory