On Optimal Pseudo-cyclic (r, δ) Locally Repairable Codes

被引：0

作者：

Chen, Bin ^{[1
]}

Xia, Shu-Tao ^{[1
]}

Hao, Jie ^{[2
]}

Fu, Fang-Wei ^{[3
,4
]}

机构：

[1] Tsinghua Univ, Grad Sch Shenzhen, Shenzhen, Peoples R China

[2] Beijing Univ Posts & Telecommun, Informat Secur Ctr, Beijing, Peoples R China

[3] Nankai Univ, Chern Inst Math, Tianjin, Peoples R China

[4] Nankai Univ, LPMC, Tianjin, Peoples R China

来源：

2018 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT) | 2018年

基金：

中国国家自然科学基金;

关键词：

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Pseudo-cyclic codes is a generalization of cyclic codes and provides a way to obtain MDS codes with more parameters in coding theory. Specially, if a is not a quadratic residue in F-q, x(n) - a only has quadratic factors over F-q for even n and k. Based on these facts, we consider the constructions of optimal q - ary pseudo-cyclic (r, delta) locally repairable codes (LRCs) with length n vertical bar q + 1 in this paper. To be specific, we obtain four classes of optimal pseudo- cyclic (r, delta)-LRCs with new parameters.

引用

页码：1191 / 1195

页数：5

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