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Self-Complementary Balanced Codes and Quasi-Symmetric Designs |
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| Authors: | Fang-Wei Fu Victor K.-W. Wei |
| Affiliation: | (1) Temasek Laboratories, National University of Singapore, 10 Kent Ridge Crescent, Singapore, 119260;(2) (on leave from the Department of Mathematics, Nankai University, Tianjin, 300071, China);(3) Department of Information Engineering, The Chinese University of Hong Kong, Shatin, N.T., Hong Kong |
| Abstract: | An upper bound for self-complementary balanced codes is presented in this paper. We give a characterization for self-complementary balanced codes meeting this upper bound. We show that the existence of certain quasi-symmetric designs implies the existence of such optimal self-complementary balanced codes. |
| Keywords: | constant weight codes balanced codes self-complementary codes quasi-symmetric designs Hadamard matrix |
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