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Learn about list decoding techniques for quotient Reed-Muller codes in this 25-minute conference talk presented by Omri Gotlib from Bar Ilan University. Explore the mathematical foundations and algorithmic approaches to decoding these error-correcting codes, which are fundamental structures in coding theory and computational complexity. Discover the collaborative research findings developed with Tali Kaufman and Shachar Lovett, examining how quotient constructions can be applied to Reed-Muller codes to achieve efficient list decoding properties. Gain insights into the theoretical implications and potential applications of these decoding methods in computer science and information theory.
Syllabus
List Decoding Quotient Reed-Muller Codes
Taught by
Fields Institute