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Some Extremal Self-Dual Codes with an Automorphism of Order 7

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Abstract.

In this note, some new extremal singly-even self-dual codes of lengths 60 and 64 are constructed using automorphisms of order 7. These codes have weight enumerators for which no extremal self-dual codes were previously known to exist.

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Authors and Affiliations

  1. Faculty of Information Technology and Systems, Delft University of Technology, Mekelweg 4, 2628, CD Delft, The Netherlands

    Radinka Dontcheva

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

    Masaaki Harada

Authors
  1. Radinka Dontcheva
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  2. Masaaki Harada
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Keywords: Self-dual codes, Automorphisms and weight enumerators.

On leave from University of Shumen, Bulgaria

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Dontcheva, R., Harada, M. Some Extremal Self-Dual Codes with an Automorphism of Order 7. AAECC 14, 75–79 (2003). https://doi.org/10.1007/s00200-003-0126-4

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  • DOI: https://doi.org/10.1007/s00200-003-0126-4

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