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Focusing on the mathematical foundations of coding theory, this monograph presents a comprehensive exploration of codebooks and linear codes derived from difference sets and almost difference sets. It offers a detailed survey of their constructions, ensuring readers have the necessary background knowledge. Additionally, the work includes valuable tables of optimal BCH and cyclic codes over GF(2) and GF(3), serving as a benchmark for evaluating newly developed cyclic codes up to specified lengths.
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CODES FROM DIFFERENCE SETS, Cunsheng Ding
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- 2014
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