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arXiv 2012.12248cs.NEcs.ITmath.IT
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A Novel Genetic Search Scheme Based on Nature -- Inspired Evolutionary Algorithms for Self-Dual Codes

Adrian Korban, Serap Sahinkaya, Deniz Ustun

英文摘要:

In this paper, a genetic algorithm, one of the evolutionary algorithms optimization methods, is used for the first time for the problem of finding extremal binary self-dual codes. We present a comparison of the computational times between a genetic algorithm and a linear search for different size search spaces and show that the genetic algorithm is capable of finding binary self-dual codes significantly faster than the linear search. Moreover, by employing a known matrix construction together with the genetic algorithm, we are able to obtain new binary self-dual codes of lengths 68 and 72 in a significantly short time. In particular, we obtain 11 new extremal binary self-dual codes of length 68 and 17 new binary self-dual codes of length 72.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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