SETH-Hardness of Coding Problems

We show that assuming the strong exponential-Time hypothesis (SETH), there are no non-Trivial algorithms for the nearest codeword problem (NCP), the minimum distance problem (MDP), or the nearest codeword problem with preprocessing (NCPP) on linear codes over any finite field. More precisely, we sho...

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Bibliographic Details
Main Authors: Stephens-Davidowitz, Noah (Author), Vaikuntanathan, Vinod (Author)
Format: Article
Language:English
Published: Institute of Electrical and Electronics Engineers (IEEE), 2021-03-03T15:15:20Z.
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