An extremal singly even self-dual code of length 88

Masaaki Harada; Takuji Nishimura

doi:10.3934/amc.2007.1.261

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2007, Volume 1, Issue 2: 261-267. Doi: 10.3934/amc.2007.1.261

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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

Received: January 31, 2007

Revised: March 31, 2007

Published: June 2007

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Abstract

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.

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Mathematics Subject Classification: 94B05.

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