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Explore optimal codes and block coding in this University of Oxford third-year mathematics lecture, part of an eight-lecture series on Information Theory. Delve into the theoretical foundations of optimal coding, examining how block coding enables efficient information encoding when sequences are grouped together. Learn why optimal codes for finite-length sequences must approximate theoretical optimums, and discover the construction of asymptotically optimal codes based on typical sequences. Master fundamental concepts through comprehensive explanations from lecturer Sam Cohen, designed to prepare students for follow-up class discussions where mathematical concepts and problem sets are explored in depth.
