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Computing sharp recovery structures for Locally Recoverable codes

Information Theory 2019-07-12 v1 math.IT

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 C\mathcal{C} and a recovery method that realizes it. This algorithm also provides the locality and the dual distance of C\mathcal{C}. Complexity issues are studied as well. Several examples are included.

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Cite

@article{arxiv.1907.05316,
  title  = {Computing sharp recovery structures for Locally Recoverable codes},
  author = {Irene Marquez-Corbella and Edgar Martinez-Moro and Carlos Munuera},
  journal= {arXiv preprint arXiv:1907.05316},
  year   = {2019}
}

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R2 v1 2026-06-23T10:18:43.414Z