Optimally Decoding Two-Dimensional Reed-Solomon Codes Against Deletion Errors

Shubhransh Singhvi

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arXiv · 2412.20771

Optimally Decoding Two-Dimensional Reed-Solomon Codes Against Deletion Errors

Shubhransh Singhvi

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Abstract

Constructing Reed-Solomon (RS) codes that can correct insertion and deletion (ins-del) errors has been the focus of several recent studies. However, efficient decoding algorithms for such codes have received less attention and remain a significant open problem. In this work, we take a first step toward addressing this problem by designing a decoding algorithm for the case of $2$-dimensional RS codes that can correct deletions up to the half-Singleton bound and is optimal in terms of field operations.

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Shubhransh Singhvi. 2024-12-30. Optimally Decoding Two-Dimensional Reed-Solomon Codes Against Deletion Errors. https://arxiv.org/abs/2412.20771

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