English

On One Generalization of LRC Codes with Availability

Information Theory 2017-06-01 v1 math.IT

Abstract

We investigate one possible generalization of locally recoverable codes (LRC) with all-symbol locality and availability when recovering sets can intersect in a small number of coordinates. This feature allows us to increase the achievable code rate and still meet load balancing requirements. In this paper we derive an upper bound for the rate of such codes and give explicit constructions of codes with such a property. These constructions utilize LRC codes developed by Wang et al.

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Cite

@article{arxiv.1705.11095,
  title  = {On One Generalization of LRC Codes with Availability},
  author = {Stanislav Kruglik and Marina Dudina and Valeriya Potapova and Alexey Frolov},
  journal= {arXiv preprint arXiv:1705.11095},
  year   = {2017}
}

Comments

submitted to ITW 2017. arXiv admin note: text overlap with arXiv:1702.01314

R2 v1 2026-06-22T20:04:54.522Z