On Error Decoding of Locally Repairable and Partial MDS Codes

Lukas Holzbaur; Sven Puchinger; Antonia Wachter-Zeh

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arXiv · 1904.05623

On Error Decoding of Locally Repairable and Partial MDS Codes

Lukas Holzbaur·Sven Puchinger·Antonia Wachter-Zeh

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Abstract

We consider error decoding of locally repairable codes (LRC) and partial MDS (PMDS) codes through interleaved decoding. For a specific class of LRCs we investigate the success probability of interleaved decoding. For PMDS codes we show that there is a wide range of parameters for which interleaved decoding can increase their decoding radius beyond the minimum distance with the probability of successful decoding approaching $1$, when the code length goes to infinity.

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Lukas Holzbaur, Sven Puchinger, Antonia Wachter-Zeh. 2019-04-11. On Error Decoding of Locally Repairable and Partial MDS Codes. https://arxiv.org/abs/1904.05623

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