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arXiv · 2005.02478

On the list recoverability of randomly punctured codes

Ben Lund·Aditya Potukuchi
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Abstract

We show that a random puncturing of a code with good distance is list recoverable beyond the Johnson bound. In particular, this implies that there are Reed-Solomon codes that are list recoverable beyond the Johnson bound. It was previously known that there are Reed-Solomon codes that do not have this property. As an immediate corollary to our main theorem, we obtain better degree bounds on unbalanced expanders that come from Reed-Solomon codes.

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Ben Lund, Aditya Potukuchi. 2020-07-03. On the list recoverability of randomly punctured codes. https://arxiv.org/abs/2005.02478

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