Decoding of Reed Solomon codes beyond the error-correction bound
Journal of Complexity
Correcting Errors Beyond the Guruswami-Sudan Radius in Polynomial Time
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
Fast polynomial factorization and modular composition in small characteristic
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
Improved decoding of Reed-Solomon and algebraic-geometry codes
IEEE Transactions on Information Theory
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The associated talk surveys some recent developments in algorithmic coding theory that answer some fundamental questions with algebraic techniques.