Abstract
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 \({\mathbb {Z}}_k\). For symmetric 3-class association schemes, we focus on the rectangular scheme and association schemes derived from symmetric designs.
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This work has been supported by the Spanish MEC Grant TIN2013-40524-P and the Catalan AGAUR Grant 2014 SGR691. This paper was presented in part at 3rd International Castle Meeting on Coding Theory and its Applications, and in VIII Jornadas de Matemática Discreta y Algorítmica.
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Bilal, M., Borges, J., Dougherty, S.T. et al. Self-dual codes from 3-class association schemes. AAECC 26, 227–250 (2015). https://doi.org/10.1007/s00200-014-0238-z
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DOI: https://doi.org/10.1007/s00200-014-0238-z