Self-orthogonal codes constructed from orbit matrices of 2-designs and quotient matrices of divisible designs |
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| Affiliation: | 1. School of Nursing, Tongji Medical College, Huazhong University of Science and Technology, Hangkong Road 13, Wuhan 430030, China;2. Huazhong University of Science and Technology Hospital, Luoyu Road 1037, Wuhan 430074, China |
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| Abstract: | In 2003 Harada and Tonchev showed a construction of self-orthogonal codes from orbit matrices of block designs with fixed-point-free automorphisms. We describe a construction of self-orthogonal codes from orbit matrices of 2-designs admitting certain automorphisms with fixed points (and blocks). Further, we present a construction of self-orthogonal codes from quotient matrices of divisible designs and divisible design graphs. |
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| Keywords: | Self-orthogonal code block design divisible design orbit matrix quotient matrix |
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