A Bound on the Minimal Field Size of LRCs, and Cyclic MR Codes That Attain It
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DOI: 10.1109/tit.2022.3225953
Abstract: We prove a new lower bound on the field size of locally repairable codes (LRCs). Additionally, we construct maximally recoverable (MR) codes which are cyclic. While a known construction for MR codes has the same… read more here.
Keywords: cyclic codes; bound minimal; field size; minimal field ... See more keywords