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Bounds on Locally Recoverable Codes with Multiple Recovering Sets

Information Theory 2014-02-06 v1 math.IT

Abstract

A locally recoverable code (LRC code) is a code over a finite alphabet such that every symbol in the encoding is a function of a small number of other symbols that form a recovering set. Bounds on the rate and distance of such codes have been extensively studied in the literature. In this paper we derive upper bounds on the rate and distance of codes in which every symbol has t1t\geq 1 disjoint recovering sets.

Keywords

Cite

@article{arxiv.1402.0916,
  title  = {Bounds on Locally Recoverable Codes with Multiple Recovering Sets},
  author = {Itzhak Tamo and Alexander Barg},
  journal= {arXiv preprint arXiv:1402.0916},
  year   = {2014}
}

Comments

Submitted to ISIT 2014

R2 v1 2026-06-22T03:01:34.600Z