The symbol-pair distance distribution of repeated-root cyclic codes over $\mathbb{F}_{p^m}$
Information Theory
2016-07-08 v1 math.IT
Abstract
Symbol-pair codes are proposed to protect against pair errors in symbol-pair read channels. One of the most important task in symbol-pair coding theory is to determine the minimum pair-distance of symbol-pair codes. In this paper, we investigate the symbol-pair distances of cyclic codes of length over . The exact symbol-pair distances of all cyclic codes of such length are determined.
Keywords
Cite
@article{arxiv.1607.01887,
title = {The symbol-pair distance distribution of repeated-root cyclic codes over $\mathbb{F}_{p^m}$},
author = {Shixin Zhu and Zhonghua Sun and Liqi Wang},
journal= {arXiv preprint arXiv:1607.01887},
year = {2016}
}