On Optimal (r, δ) -LRCs with Length n | (q+1)

被引：0

作者：

Fang, Weijun ^{[1
,2
]}

Fu, Fang-Wei ^{[1
,2
]}

Chen, Bin ^{[3
]}

Xia, Shu-Tao ^{[3
]}

机构：

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

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

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

来源：

2018 IEEE INFORMATION THEORY WORKSHOP (ITW) | 2018年

基金：

中国国家自然科学基金;

关键词：

Distributed storage systems; locally repairable codes; optimal cyclic LRCs; optimal constacyclic LRCs; CODES;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Optimal (r, delta) locally repairable codes ((r, delta) -LRCs for short) with length n vertical bar (q + 1) have been studied in [5] and [6]. In this paper, along with their ideas, by using cyclic or constacyclic codes, we construct three classes of such LRCs with new parameters which are not obtained in [5] and [6]. Thus, optimal (r, delta) -LRCs with length n vertical bar (q + 1) and (r + delta - 1) vertical bar n are completely determined for all possible parameters.

引用

页码：260 / 264

页数：5

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