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Computing sharp recovery structures for Locally Recoverable codes
July 11, 2019 Β· Declared Dead Β· π Designs, Codes and Cryptography
"No code URL or promise found in abstract"
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Authors
Irene Marquez-Corbella, Edgar Martinez-Moro, Carlos Munuera
arXiv ID
1907.05316
Category
cs.IT: Information Theory
Citations
0
Venue
Designs, Codes and Cryptography
Last Checked
4 months ago
Abstract
A locally recoverable code is an error-correcting code such that any erasure in a single coordinate of a codeword can be recovered from a small subset of other coordinates. In this article we develop an algorithm that computes a recovery structure as concise posible for an arbitrary linear code $\mathcal{C}$ and a recovery method that realizes it. This algorithm also provides the locality and the dual distance of $\mathcal{C}$. Complexity issues are studied as well. Several examples are included.
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