About non equivalent completely regular codes with identical intersection array
Rifà i Coma, Josep (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
Zinoviev, Victor ((Russian Academy of Sciences (Rússia). Kharkevich Institute for Information Transmission Problems))

Date:	2017
Abstract:	We obtain several classes of completely regular codes with different parameters, but identical intersection array. Given a prime power q and any two natural numbers a, b, we construct completely transitive codes over different fields with covering radius ρ = min{a, b} and identical intersection array, specifically, we construct one code over F_{q^r} for each divisor r of a or b. As a corollary, for any prime power q, we show that distance regular bilinear forms graphs can be obtained as coset graphs from several completely regular codes with different parameters.
Grants:	Ministerio de Economía y Competitividad TIN2016-77918-P Ministerio de Economía y Competitividad MTM2015-69138-REDT Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-691
Rights:	Aquest document està subjecte a una llicència d'ús Creative Commons. Es permet la reproducció total o parcial i la comunicació pública de l'obra, sempre que no sigui amb finalitats comercials, i sempre que es reconegui l'autoria de l'obra original. No es permet la creació d'obres derivades.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Completely regular codes ; Coset graphs ; Distance regular graphs
Published in:	Electronic notes in discrete mathematics, Vol. 57 (Març 2017) , p. 181-186, ISSN 1571-0653

DOI: 10.1016/j.endm.2017.02.030

Post-print 7 p, 234.2 KB

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