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Explore proximity gaps in Reed-Solomon codes through this 36-minute conference talk delivered at the ICTS Workshop on HDXs and Codes. Delve into the mathematical foundations and theoretical implications of proximity gaps within the context of Reed-Solomon error-correcting codes, examining how these gaps relate to the broader intersection of high-dimensional expanders and coding theory. Learn about the latest research developments in this specialized area of theoretical computer science and mathematics, presented as part of a comprehensive program exploring the connections between high-dimensional expansion and error-correcting codes. Gain insights into advanced coding theory concepts that contribute to our understanding of communication systems operating in noisy environments, building upon decades of research in error correction while addressing contemporary challenges in the field.
