New extremal doubly-even [64, 32, 12] codes |
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| Authors: | Masaaki Harada Hiroshi Kimura |
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| Institution: | (1) Department of Mathematics, Okayama University, Okayama 700, Japan;(2) Department of Mathematics, Faculty of Science, Ehime University, 790-77 Matsuyama, Japan |
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| Abstract: | In this paper, we consider a general construction of doubly-even self-dual codes. From three symmetric 2-(31, 10, 3) designs, we construct at least 3228 inequivalent extremal doubly-even 64, 32, 12] codes. These codes are distinguished by their K-matrices. |
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| Keywords: | self-dual codes extremal codes generator matrices and symmetric designs |
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