Classification of Extremal Double Circulant Formally Self-DualEven Codes

  • Authors:
  • T. Aaron Gulliver;Masaaki Harada

  • Affiliations:
  • Department of Electrical and Electronic Engineering, University of Canterbury, Private Bag 4800, Christhchurch, New Zealand;Department of Mathematics, Okayama University, Okayama 700, Japan

  • Venue:
  • Designs, Codes and Cryptography
  • Year:
  • 1997

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Abstract

Formally self-dual even codes have recentlybeen studied. Double circulant even codes are a family of suchcodes and almost all known extremal formally self-dual even codesare of this form. In this paper, we classify all extremal doublecirculant formally self-dual even codes which are not self-dual.We also investigate the existence of near-extremal formally self-dualeven codes.