Completely regular codes with different parameters and the same intersection arrays
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: |
2016 |
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 Fqʳ 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 Ciencia e Innovación TIN2013-40524- P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-691
|
Rights: |
Tots els drets reservats. |
Language: |
Anglès |
Document: |
Comunicació de congrés |
Subject: |
Completely regular codes |
Published in: |
International Workshop on Algebraic and Combinatorial Coding Theory. Albena, Bulgaria, 15th : 2016 |
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Record created 2016-12-19, last modified 2022-09-04