New Constructions of Binary and Ternary Locally Repairable Codes Using Cyclic Codes
Chanki Kim, Jong‐Seon No · IEEE Communications Letters · 2017
New constructions of binary and ternary locally repairable codes (LRCs) using cyclic codes and their concatenation are proposed. The proposed binary LRCs with d = 4 and some r and with d ≥ 5 and some n are shown to be optimal in terms of the upper bounds. In addition, the similar method of the binary case is applied to construct the ternary LRCs with good parameters.