On circulant self-dual codes over small fields

  • Authors:

  • Markus Grassl;T. Aaron Gulliver

  • Affiliations:

  • Institut für Algorithmen und Kognitive Systeme (IAKS), Fakultät für Informatik, Universtität Karlsruhe (TH), Karlsruhe, Germany 76128 and Institute for Quantum Optics and Quant ...;Department of Electrical and Computer Engineering, University of Victoria, Victoria, Canada V8W 3P6

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 2009

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Abstract

We construct self-dual codes over small fields $${\mathbb {F}_q}$$ with q = 3, 4, 5, 7, 8, 9 of moderate length with long cycles in the automorphism group. With few exceptions, the codes achieve or improve the known lower bounds on the minimum distance of self-dual codes.