An extremal singly even self-dual code of length 88

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May 2007, 1(2): 261-267. doi: 10.3934/amc.2007.1.261

An extremal singly even self-dual code of length 88

Masaaki Harada ^1, and Takuji Nishimura ^1,

1.	Department of Mathematical Sciences, Yamagata University, Yamagata 990–8560, Japan

Received February 2007 Revised April 2007 Published May 2007

Abstract
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An extremal singly even self-dual [88, 44, 16] code is constructed for the first time. Some optimal (extremal) singly even self-dual codes with weight enumerators which were not known to be attainable are also found for lengths 68 and 92.

Keywords: Self-dual code, extremal singly even self-dual code, weight enumerator..

Mathematics Subject Classification: 94B0.

Citation: Masaaki Harada, Takuji Nishimura. An extremal singly even self-dual code of length 88. Advances in Mathematics of Communications, 2007, 1 (2) : 261-267. doi: 10.3934/amc.2007.1.261

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