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arXiv · 1303.3921

On the Locality of Codeword Symbols in Non-Linear Codes

Michael Forbes·Sergey Yekhanin
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Abstract

Consider a possibly non-linear (n,K,d)_q code. Coordinate i has locality r if its value is determined by some r other coordinates. A recent line of work obtained an optimal trade-off between information locality of codes and their redundancy. Further, for linear codes meeting this trade-off, structure theorems were derived. In this work we give a new proof of the locality / redundancy trade-off and generalize structure theorems to non-linear codes.

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Michael Forbes, Sergey Yekhanin. 2013-03-15. On the Locality of Codeword Symbols in Non-Linear Codes. https://arxiv.org/abs/1303.3921

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