Optimal double circulant self-dual codes over F4

  • Authors:
  • T. A. Gulliver

  • Affiliations:
  • Dept. of Electr. & Electron. Eng., Canterbury Univ., Christchurch

  • Venue:
  • IEEE Transactions on Information Theory
  • Year:
  • 2000

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Abstract

Optimal double circulant self-dual codes over F4 have been found for each length n⩽40. For lengths n⩽14, 20, 22, 24, 28, and 30, these codes are optimal self-dual codes. For length 26, the code attains the highest known minimum weight. For n⩾32, the codes presented provide the highest known minimum weights. The [36,18,12] self-dual code improves the lower bound on the highest minimum weight for a [36,18] linear code