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
收藏
页码：260 / 264
页数：5
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