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Decoding Reed-Solomon codes using Euclid’s algorithm
Authors:Priti Shankar
Institution:(1) Department of Computer Science and Automation, Indian Institute of Science, Bangalore, 560 012, India
Abstract:Reed-Solomon codes are indeed an elegant illustration of a very practical application of abstract algebra. An interesting discovery was the fact that Euclid’s algorithm for finding greatest common divisors of polynomials, could be used for decoding these codes. In this article we explain this connection. Priti Shankar is with the Department of Computer Science and Automation at the Indian Institute of Science, Bangalore. Her interests are in theoretical computer science and error correcting codes.
Keywords:Error correcting codes  Reed-Solomon codes  decoding algorithms
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