Self-dual codes from 3-class association schemes
Bilal, Muhammad (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
Borges, J. (Joaquim) (Joaquim) (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
Dougherty, Steven T. (University of Scranton. Department of Mathematics)
Fernández Córdoba, Cristina (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)

Date:	2015
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 Z k . For symmetric 3-class association schemes, we focus on the rectangular scheme and association schemes derived from symmetric designs.
Grants:	Ministerio de Educación y Ciencia TIN2013-40524-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-691
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Non-symmetric association schemes ; Symmetric association schemes ; Self-dual codes ; Rectangular scheme ; Symmetric designs
Published in:	Applicable Algebra in Engineering, Communication and Computing, Vol. 26 Issue 3 (June 2015) , p. 227-250, ISSN 0938-1279

DOI: 10.1007/s00200-014-0238-z

Post-print 24 p, 1.1 MB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Engineering > Combinatorics, Coding and Security Group (CCSG)
Articles > Research articles
Articles > Published articles