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Binary Optimal Odd Formally Self-Dual Codes

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Abstract

In this paper, we study binary optimal odd formallyself-dual codes. All optimal odd formally self-dual codes areclassified for length up to 16. The highest minimum weight ofany odd formally self-dual codes of length up to 24 is determined. We also show that there is a unique linearcode for parameters [16, 8, 5] and [22, 11, 7], up to equivalence.

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Authors and Affiliations

  1. Graduate School of Mathematics, Nagoya University, Nagoya, 464-8601, Japan

    Koichi Betsumiya

  2. Department of Mathematical Sciences, Yamagata University, Yamagata, 990-8560, Japan

    Masaaki Harada

Authors
  1. Koichi Betsumiya

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  2. Masaaki Harada

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