visitant ::
identificació
|
|||||||||||||||
Cerca | Lliura | Ajuda | Servei de Biblioteques | Sobre el DDD | Català English Español |
Pàgina inicial > Articles > Articles publicats > Completely regular codes with different parameters giving the same distance-regular coset graphs |
Data: | 2017 |
Resum: | We construct 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}ρ=min{a,b} and identical intersection array, specifically, one code over F_q^r for each divisor r of a or b. As a corollary, for any prime power qq, we show that distance regular bilinear forms graphs can be obtained as coset graphs from several completely regular codes with different parameters. |
Ajuts: | Ministerio de Ciencia e Innovación TIN2016-77918-P Ministerio de Ciencia e Innovación MTM2015-69138-REDT Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-691 |
Drets: | Tots els drets reservats. |
Llengua: | Anglès |
Document: | Article ; recerca ; Versió sotmesa a revisió |
Matèria: | Bilinear forms graph ; Completely regular code ; Completely transitive code ; Coset graph ; Distance-regular graph ; Distance-transitive graph ; Kronecker product construction ; Lifting of a field ; Uniformly packed code |
Publicat a: | Discrete Mathematics, Vol. 340 Núm. 7 (July 2017) , p. 1649-1656, ISSN 0012-365X |
Preprint 14 p, 129.7 KB |