Optimal Binary Locally Repairable Codes via Anticodes
January 28, 2015 Β· Declared Dead Β· π International Symposium on Information Theory
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Authors
Natalia Silberstein, Alexander Zeh
arXiv ID
1501.07114
Category
cs.IT: Information Theory
Citations
60
Venue
International Symposium on Information Theory
Last Checked
5 months ago
Abstract
This paper presents a construction for several families of optimal binary locally repairable codes (LRCs) with small locality (2 and 3). This construction is based on various anticodes. It provides binary LRCs which attain the Cadambe-Mazumdar bound. Moreover, most of these codes are optimal with respect to the Griesmer bound.
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