Self-dual codes over and of length not exceeding 16

  • Authors:
  • J. Conway;V. Pless;N. Sloane

  • Affiliations:
  • -;-;-

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

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Abstract

All self-dual codes over GF(3) and GF(4) of length 16 are found. The self-dual codes of shorter length are described in a concise and systematic notation. A number of new techniques ("promotion" and "demotion," "tag olng? and "subtraction") are given for constructing codes. Finally, several new extremal self-dual codes are given which have length greater than 16.