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SETH-Hardness of Coding Problems
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Linear Codes
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Nearest Codeword Problem (NCP)
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The Strong Exponential Time Hypothesis (SETH)
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Reduction to NCP
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2-SAT without Negations...
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Finishing the Reduction (without negations...)
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Negated Variables
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Additional NCP Results
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Minimum Distance Problem (MDP)
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Summary
Description:
Explore the SETH hardness of coding problems in this 22-minute IEEE conference talk presented by Noah Stephens-Davidowitz and Vinod Vaikuntanathan. Delve into linear codes, the Nearest Codeword Problem (NCP), and the Strong Exponential Time Hypothesis (SETH). Examine the reduction to NCP, 2-SAT without negations, and the process of finishing the reduction. Learn about negated variables and additional NCP results. Investigate the Minimum Distance Problem (MDP) and gain a comprehensive understanding of the topic through a concise summary.

Hardness of Coding Problems

IEEE
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