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On the Classification of Self-Dual Codes over đť”˝5

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Abstract.

 In this paper, we give the classification of self-dual 𝔽5-codes of lengths 14 and 16. Up to equivalence, there are 53 and 535 such codes, respectively. It is also shown that there is no self-dual [18, 9, 8] code over 𝔽5.

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Authors and Affiliations

  1. Department of Mathematical Sciences, Yamagata University, Yamagata 990-8560, Japan. e-mail: mharada@sci.kj.yamagata-u.ac.jp, , , , , , JP

    Masaaki Harada

  2. Department of Electrical and Communications Engineering, Helsinki University of Technology, P.O. Box 3000, 02015 HUT, Finland. e-mail: Patric.Ostergard@hut.fi, , , , , , FI

    Patric R. J. Ă–stergĂĄrd

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  1. Masaaki Harada
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  2. Patric R. J. Ă–stergĂĄrd
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Received: June 18, 2001 Final version received: April 9, 2002

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ID="*" Supported in part by the Academy of Finland under grants 44517 and 100500

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Harada, M., Östergård, P. On the Classification of Self-Dual Codes over 𝔽5 . Graphs and Combinatorics 19, 203–214 (2003). https://doi.org/10.1007/s00373-002-0502-z

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  • DOI: https://doi.org/10.1007/s00373-002-0502-z

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