Complete b-symbol weight distribution of some irreducible cyclic codes
Information Theory
2021-10-05 v1 math.IT
Abstract
Recently, -symbol codes are proposed to protect against -symbol errors in -symbol read channels. It is an interesting subject of study to consider the complete -symbol weight distribution of cyclic codes since -symbol metric is a generalization for Hamming metric. The complete -symbol Hamming weight distribution of irreducible codes is known in only a few cases. In this paper, we give a complete -symbol Hamming weight distribution of a class of irreducible codes with two nonzero -symbol Hamming weights.
Keywords
Cite
@article{arxiv.2110.00805,
title = {Complete b-symbol weight distribution of some irreducible cyclic codes},
author = {Hongwei Zhu and Minjia Shi and Ferruh Ozbudak},
journal= {arXiv preprint arXiv:2110.00805},
year = {2021}
}