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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

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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