DocumentCode
1538034
Title
New extremal self-dual codes of length 68
Author
Dougherty, Steven T. ; Harada, Masaaki
Author_Institution
Dept. of Math., Scranton Univ., PA, USA
Volume
45
Issue
6
fYear
1999
fDate
9/1/1999 12:00:00 AM
Firstpage
2133
Lastpage
2136
Abstract
We give two computational results on binary self-dual codes. A number of extremal singly-even self-dual [68, 34, 12] codes with weight enumerators not known to exist, are constructed. For k⩽10, the relationship between extremal doubly-even self-dual codes of length 24 k, and certain singly-even self-dual codes of length 24 k-2 is presented
Keywords
Golay codes; binary codes; dual codes; residue codes; binary self-dual codes; code length; computational results; extended Golay code; extended quadratic residue code; extremal singly-even self-dual codes; weight enumerators; Binary codes; Code standards; Mathematics; Upper bound; Vectors;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.782158
Filename
782158
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