Resultats globals: 3 registres trobats en 0.02 segons.
Articles, 3 registres trobats
Articles 3 registres trobats  
1.
15 p, 455.1 KB Quaternary group ring codes : ranks, kernels and self-dual codes / Dougherty, Steven T. (University of Scranton. Department of Mathematics) ; Fernández Córdoba, Cristina (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions) ; Ten-Valls, Roger (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions) ; Yildiz, Bahattin (Northern Arizona University. Department of Mathematics and Statistics)
We study G-codes over the ring Z4, which are codes that are held invariant by the action of an arbitrary group G. We view these codes as ideals in a group ring and we study the rank and kernel of these codes. [...]
2020 - 10.3934/amc.2020023
Advances in mathematics of communications, Vol. 14, issue 2 (May 2020) , p. 319-332  
2.
22 p, 782.7 KB Z₂Z₄-additive formally self-dual codes / Dougherty, Steven T. (University of Scranton. Department of Mathematics) ; Fernández Córdoba, Cristina (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
We study odd and even Z₂Z₄ formally self-dual codes. The images of these codes are binary codes whose weight enumerators are that of a formally self-dual code but may not be linear. Three constructions are given for formally self-dual codes and existence theorems are given for codes of each type defined in the paper.
2014 - 10.1007/s10623-012-9773-4
Designs, codes and cryptography, Vol. 72 Issue 2 (August 2014) , p. 435-453  
3.
24 p, 1.1 MB Self-dual codes from 3-class association schemes / Bilal, Muhammad (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) ; Dougherty, Steven T. (University of Scranton. Department of Mathematics) ; Fernández Córdoba, Cristina (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
3-class association schemes are used to construct binary self-dual codes. We use the pure and bordered construction to get self-dual codes starting from the adjacency matrices of symmetric and non-symmetric 3-class association schemes. [...]
2015 - 10.1007/s00200-014-0238-z
Applicable Algebra in Engineering, Communication and Computing, Vol. 26 Issue 3 (June 2015) , p. 227-250  

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