English

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

Information Theory 2025-07-02 v2 math.IT

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 22-dimensional RS codes that can correct deletions up to the half-Singleton bound and is optimal in terms of field operations.

Keywords

Cite

@article{arxiv.2412.20771,
  title  = {Optimally Decoding Two-Dimensional Reed-Solomon Codes Against Deletion Errors},
  author = {Shubhransh Singhvi},
  journal= {arXiv preprint arXiv:2412.20771},
  year   = {2025}
}