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Optimally Decoding 2-D Reed-Solomon Codes Against Deletion Errors

delete2026-03-01
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PRE
AI
S
Singhvi, Shubhransh *
DOI:10.1109/TIT.2026.3656004delete
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Abstract

Abstract

En 中文
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.
Keywords:
Codes
Decoding
Symbols
Linear codes
Reed-Solomon codes
Measurement
Encoding
Vectors
Hamming distances
Frequency locked loops
Reed-Solomon (RS) codes
deletion errors
decoding algorithms

Journal

I
IEEE Transactions on Information Theory
IF:
2.9
Papers:
317
Citations:
0

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