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Explore advanced concepts in algebraic coding theory and algorithms in this one-hour lecture by Mary Wootters from Stanford University, part of the Error-Correcting Codes: Theory and Practice Boot Camp at the Simons Institute. Delve into the intricacies of error-correcting codes, building upon foundational knowledge to examine more complex algebraic structures and their applications in coding theory. Gain insights into cutting-edge research and practical implementations of algebraic codes in modern communication systems and data storage technologies.