On circulant self-dual codes over small fields |
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| Authors: | Markus Grassl T Aaron Gulliver |
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| Institution: | 1.Institut für Algorithmen und Kognitive Systeme (IAKS), Fakult?t für Informatik,Universtit?t Karlsruhe (TH),Karlsruhe,Germany;2.Institute for Quantum Optics and Quantum Information (IQOQI),Austrian Academy of Sciences,Innsbruck,Austria;3.Department of Electrical and Computer Engineering,University of Victoria,Victoria,Canada |
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| Abstract: | We construct self-dual codes over small fields  with q = 3, 4, 5, 7, 8, 9 of moderate length with long cycles in the automorphism group. With few exceptions, the codes achieve
or improve the known lower bounds on the minimum distance of self-dual codes.
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| Keywords: | Self-dual codes Circulant codes Bounds on codes |
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