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, V. A. (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.
Note: Número d'acord de subvenció MICINN/TIN2013-40524- P
Note: Número d'acord de subvenció AGAUR/2014/SGR-691
Rights: Tots els drets reservats
Language: Anglès
Document: conferenceObject
Subject: Completely regular codes
Published in: International Workshop on Algebraic and Combinatorial Coding Theory. Albena, Bulgaria, 15th : 2016

6 p, 163.1 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (scientific output) > Engineering > Combinatorics, Coding and Security Group (CCSG)
Contributions to meetings and congresses > Papers and communications

 Record created 2016-12-19, last modified 2020-09-23

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