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Classification of Extremal Formally Self-Dual Even Codes of Length 22

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Abstract.

 Lengths 22 and 30 are so far the only open cases in the classification of extremal formally self-dual even codes. In this paper, a classification of the extremal formally self-dual even codes of length 22 is given. There are 41520 such codes.A variety of properties of these codes are investigated. In particular, new 2-(22, 6, 5) designs are constructed from the codes.

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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. Östergård

Authors
  1. Masaaki Harada
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  2. Patric R.J. Östergård
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Received: February 9, 2000

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Harada, M., Östergård, P. Classification of Extremal Formally Self-Dual Even Codes of Length 22. Graphs Comb 18, 507–516 (2002). https://doi.org/10.1007/s003730200037

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  • DOI: https://doi.org/10.1007/s003730200037

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