Self-dual codes with automorphism of order 3 having 8 cycles (Q1960221)
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scientific article; zbMATH DE number 5799400
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Self-dual codes with automorphism of order 3 having 8 cycles |
scientific article; zbMATH DE number 5799400 |
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Self-dual codes with automorphism of order 3 having 8 cycles (English)
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13 October 2010
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All self-dual \([n,n/2,8]\) codes having an automorphism of order 3 with 8 independent cycles are obtained for \(n=38,40,44\), up to equivalence. The method used for constructing them is based on previous results given by \textit{W. C. Huffman} [Finite Fields Appl. 11, No. 3, 451--490 (2005; Zbl 1087.94023)] and \textit{V. Y. Yorgov} [IEEE Trans. Inf. Theory 33, 77--82 (1987; Zbl 0636.94017)], as well as some computer search.
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self-dual codes
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automorphism
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optimal codes
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weight enumerators
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Hermitian codes
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0.91861063
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0.90711975
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0.90428036
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0.8916159
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0.88772815
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0.87564325
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0.8754804
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0.8739513
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