Han Cai, Minquan Cheng, Cuiling Fan, Xiaohu Tang: Optimal Locally Repairable Systematic Codes Based on Packings

Journal:IEEE Transactions on Communications

Abstract:Locally repairable codes are desirable for distributed storage systems to improve the repair efficiency. In this paper, a connection between locally repairable codes with multiple disjoint repair sets and packings is derived under the condition that each repair set contains exactly one check symbol. Particularly, conditions under which an optimal locally repairable code corresponds to a packing are also characterized. As an application of this connection, some optimal locally repairable codes can be obtained by packings. Specifically, two constructions of locally repairable codes are proposed which not only generalize some known explicit constructions but also give optimal locally repairable codes with flexible new parameters.

Indexed by:SCI

Volume:67

Issue:1

Page Number:39-49

Translation or Not:no

Date of Publication:2019-01-15

Links to published journals:https://ieeexplore.ieee.org/document/8463564