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arXiv · 1812.06897

Cyclic Codes with Locality and Availability

Lukas Holzbaur·Ragnar Freij-Hollanti·Antonia Wachter-Zeh
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Abstract

In this work codes with availability are constructed based on the cyclic \emph{locally repairable code} (LRC) construction by Tamo et al. and their extension to $(r,ρ)$-locality by Chen et al. The minimum distance of these codes is increased by carefully extending their defining set. We give a bound on the dimension of LRCs with availability and orthogonal repair sets and show that the given construction is optimal for a range of parameters.

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Lukas Holzbaur, Ragnar Freij-Hollanti, Antonia Wachter-Zeh. 2019-04-04. Cyclic Codes with Locality and Availability. https://arxiv.org/abs/1812.06897

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