Journal of Research Institute of Science and Technology, College of Science and Technology, Nihon University
Online ISSN : 2185-4181
Print ISSN : 1884-8702
ISSN-L : 1884-8702
ORIGINAL PAPERS
Codes of split type
Maro KIMIZUKA, Ryuji SASAKI
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Keywords: linear code, Golay code, Mathieu group
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2009 Volume 2009 Issue 119 Pages 119_1-119_14

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Abstract

Generalizing a way to construct Golay codes, codes of split type are defined. A lot of interesting codes, for example, extremal codes of length n ≤ 40 such as Golay codes and binary doubly even self-dual codes [48, 24, 12], [72, 36, w] with w ≥ 12, are represented as codes of split type.

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© 2009 Nihon University Research Institute of Science and Technology
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