Coboundary Expansion of Tensor Product Codes over Large Fields

Explore coboundary expansion properties of tensor product codes when constructed over large finite fields in this 41-minute conference talk. Delve into the mathematical foundations connecting high-dimensional expanders and error-correcting codes, examining how tensor product constructions behave under coboundary expansion analysis. Learn about the theoretical implications for code performance and expansion properties as field size increases, with particular attention to the interplay between algebraic structure and geometric expansion. Understand the technical methods used to analyze these constructions and their relevance to both coding theory and high-dimensional expansion research. Gain insights into current research directions at the intersection of combinatorics, algebra, and theoretical computer science through detailed mathematical exposition and proof techniques.