Extremal self-dual codes with an automorphism of order 2

  • Authors:
  • S. Buyuklieva;N. Boukliev

  • Affiliations:
  • Fac. of Math. & Inf., Univ. of Veliko Tarnovo, Veliko Tarnova;-

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2006

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Abstract

A method to design binary self-dual codes with an automorphism of order two without fixed points is presented. Extremal self-dual codes with lengths 40, 42, 44, 54, 58, 68 are constructed. Many of them have weight enumerators for which extremal codes were previously not known to exist