On Optimal Locally Repairable Codes with Super-Linear Length
December 31, 2018 Β· Declared Dead Β· π 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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