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The Codes of Solomon, Reed, and Muller
Jeremy Kun
DOI: 10.59350/3rmfc-19c70 (Computer Science)
License: CC BY
Abstract: Last time we defined the Hamming code. We also saw that it meets the Hamming bound, which is a measure of how densely a code can be packed inside an ambient space and still maintain a given distance. This time we'll define the Reed-Solomon code which optimizes a different bound called the Singleton bound, and then generalize them to a larger class of codes called Reed-Muller codes.
Published on 23 Mar. 2015