Complexity of error-correcting codes derived from combinatorial games

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Abstract

The main result of the present paper is to establish an algorithm for computing a linear error-correcting code called lexicode in O(nd-1) steps, where n and d are the size and distance of the code, respectively. This is done by using the theory of combinatorial games, specifically, two-player cellular automata games. Previous algorithms were exponential in n. © Springer-Verlag Berlin Heidelberg 2003.

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Fraenkel, A. S., & Rahat, O. (2003). Complexity of error-correcting codes derived from combinatorial games. Lecture Notes in Computer Science (Including Subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), 2883, 201–212. https://doi.org/10.1007/978-3-540-40031-8_14

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