Optimal constacyclic locally repairable codes
Zhonghua Sun, Shixin Zhu, Liqi Wang · IEEE Communications Letters · 2018
Being part of distributed storage systems, locally repairable codes (LRCs) have drawn great attention in the past years. Inspired by a recent construction of optimal LRCs-based on cyclic codes, constacyclic LRCs are studied in this letter. Specifically, a family of optimal constacyclic (r, δ)q-LRCs with unbounded length and minimum distance δ + 2ε is constructed, where 1 ≤ ε ≤ [(δ/2)j. A new optimal cyclic (r, δ)q-LRC with unbounded length and minimum distance 2δ is also presented.