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Completely regular codes with different parameters giving the same distance-regular coset graphs
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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)
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. [...]
2017 - 10.1016/j.disc.2017.03.001
Discrete Mathematics, Vol. 340 Núm. 7 (July 2017) , p. 1649-1656
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7 p, 234.2 KB |
About non equivalent completely regular codes with identical intersection array
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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))
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. [...]
2017 - 10.1016/j.endm.2017.02.030
Electronic notes in discrete mathematics, Vol. 57 (Març 2017) , p. 181-186
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6 p, 1.4 MB |
About some Hadamard full propelinear (2t,2,2)-codes : Rank and Kernel
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Bailera, Ivan (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions) ;
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)
A new subclass of Hadamard full propelinear codes is introduced in this article. We define the HFP(2t,2,2)-codes as codes with a group structure isomorphic to C₂t × C₂^2. Concepts such as rank and dimension of the kernel are studied, and bounds for them are established. [...]
2016 - 10.1016/j.endm.2016.09.055
Electronic notes in discrete mathematics, Vol. 54 (Oct. 2016) , p. 319-324
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