On nested completely regular codes and distance regular graphs
Borges, J. (Joaquim) (Joaquim) (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
Rifà i Coma, Josep (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
Zinoviev, Victor (Kharkevich Institute for Problems of Information Transmission)

Date: 2014
Abstract: Infinite families of linear binary nested completely regular codes with covering radius ρ equal to 3 and 4 are constructed. In the usual way, i. e. , as coset graphs, infinite families of embedded distance-regular coset graphs of diameter D = 3 or 4 are constructed. In some cases, the constructed codes are also completely transitive codes and the corresponding coset graphs are distance-transitive.
Grants: Ministerio de Ciencia e Innovación TIN2013-40524-P
Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-691
Note: Publicació amb motiu de la 14th International Workshop on Algebraic and Combinatorial Coding Theory (September 7-13, 2014, Svetlogorsk, Russia)
Rights: Tots els drets reservats.
Language: Anglès
Document: Capítol de llibre
Published in: International Workshop on Algebraic and Combinatorial Coding Theory. Svetlogorsk,Russia, 14th : 2014 : p. 85-90



6 p, 96.2 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)
Contributions to meetings and congresses > Papers and communications > UAB papers and communications

 Record created 2015-11-06, last modified 2022-10-06



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