A Characterization of Designs Related to an Extremal Doubly-Even Self-Dual Code of Length 48 |
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| Authors: | Masaaki Harada Akihiro Munemasa Vladimir D Tonchev |
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| Institution: | (1) Department of Mathematical Sciences, Yamagata University, Yamagata 990–8560, Japan;(2) Graduate School of Information Sciences, Tohoku University, Sendai 980–8579, Japan;(3) Department of Mathematical Sciences, Michigan Technological University, Houghton, MI 49931, USA |
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| Abstract: | The uniqueness of a binary doubly-even self-dual 48, 24, 12] code is used to prove that a self-orthogonal 5-(48, 12, 8) design, as well as some of its derived and residual designs, including a quasi-symmetric 2-(45, 9, 8) design, are all unique up to isomorphism.Received November 5, 2003 |
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| Keywords: | 05B05 94B05 |
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