On Optimal Locally Repairable Codes with Super-Linear Length

December 31, 2018 Β· Declared Dead Β· πŸ› International Symposium on Information Theory

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Authors Han Cai, Ying Miao, Moshe Schwartz, Xiaohu Tang arXiv ID 1812.11942 Category cs.IT: Information Theory Citations 56 Venue International Symposium on Information Theory Last Checked 5 months ago
Abstract
Locally repairable codes which are optimal with respect to the bound presented by Prakash et al. are considered. New upper bounds on the length of such optimal codes are derived. The new bounds both improve and generalize previously known bounds. Optimal codes are constructed, whose length is order-optimal when compared with the new upper bounds. The length of the codes is super-linear in the alphabet size.
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