Construction of MDS self-dual codes from generalized Reed-Solomon codes
Information Theory
2022-08-30 v3 math.IT
Abstract
MDS codes and self-dual codes are important families of classical codes in coding theory. It is of interest to investigate MDS self-dual codes. The existence of MDS self-dual codes over finite field is completely solved for is even. In this paper, for finite field with odd characteristic, we construct some new classes of MDS self-dual codes by (extended) generalized Reed-Solomon codes.
Cite
@article{arxiv.2207.04232,
title = {Construction of MDS self-dual codes from generalized Reed-Solomon codes},
author = {Ruhao Wan and Shixin Zhu and Jin Li},
journal= {arXiv preprint arXiv:2207.04232},
year = {2022}
}
Comments
24 pages,2 table