Self-dual codes from 3-class association schemes

M. Bilal, J. Borges, S. T. Dougherty, C. Fernández-Córdoba

Research output: Contribution to journalArticleResearchpeer-review

Abstract

© 2014, Springer-Verlag Berlin Heidelberg. 3-Class association schemes are used to construct binary self-dual codes. We use the pure and bordered construction to get self-dual codes starting from the adjacency matrices of symmetric and non-symmetric 3-class association schemes. In some specific cases, we also study constructions of self-dual codes over $${\mathbb {Z}}_k$$Zk. For symmetric 3-class association schemes, we focus on the rectangular scheme and association schemes derived from symmetric designs.
Original languageEnglish
Article number238
Pages (from-to)227-250
JournalApplicable Algebra in Engineering, Communications and Computing
Volume26
Issue number3
DOIs
Publication statusPublished - 30 Nov 2015

Keywords

  • Non-symmetric association schemes
  • Rectangular scheme
  • Self-dual codes
  • Symmetric association schemes
  • Symmetric designs

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