AMDS Symbol-Pair Codes from Repeated-Root Cyclic Codes
Abstract
Symbol-pair codes are proposed to guard against pair-errors in symbol-pair read channels. The minimum symbol-pair distance is of significance in determining the error-correcting capability of a symbol-pair code. One of the central themes in symbol-pair coding theory is the constructions of symbol-pair codes with largest possible minimum pair distance. Maximum distance separable (MDS) and almost maximum distance separable (AMDS) symbol-pair codes are optimal and sub-optimal regarding to the Singleton bound, respectively. In this paper, six new classes of AMDS symbol-pair codes are explicitly constructed through repeated-root cyclic codes and one class of such codes has unbounded lengths and the minimum symbol-pair distance can reach .
Cite
@article{arxiv.2206.10806,
title = {AMDS Symbol-Pair Codes from Repeated-Root Cyclic Codes},
author = {Junru Ma},
journal= {arXiv preprint arXiv:2206.10806},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2010.04329. substantial text overlap with arXiv:2012.05050