Binary Optimal Odd Formally Self-Dual Codes

  • Authors:
  • Koichi Betsumiya;Masaaki Harada

  • Affiliations:
  • Graduate School of Mathematics, Nagoya University, Nagoya 464-8601, Japan E-mail:Koichi@math.nagoya-u.ac.jp;Department of Mathematical Sciences, Yamagata University, Yamagata 990-8560, Japan E-mail:harada@kszaoh3.kj.yamagata-u.ac.jp

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2001

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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.