Bounds and Constructions of Locally Repairable Codes: Parity-check Matrix Approach

Jie Hao, Shu-Tao Xia, Kenneth W. Shum +3

A $q$-ary $(n,k,r)$ locally repairable code (LRC) is an $[n,k,d]$ linear code over ${\mathbb{F}}_q$ such that every code symbol can be recovered by accessing at most $r$ other code s…