Resultats globals: 5 registres trobats en 0.01 segons.
Articles, 5 registres trobats
Articles 5 registres trobats  
1.
13 p, 1.6 MB Quasi-cyclic codes as cyclic codes over a family of local rings / 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)
2016 - 10.1016/j.ffa.2016.04.002
Finite fields and their applications, Vol. 40 (July 2016) , p. 138-149  
2.
22 p, 1.2 MB Kernels and ranks of cyclic and negacyclic quaternary 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 the rank and kernel of Z4 cyclic codes of odd length n and give bounds on the size of the kernel and the rank. Given that a cyclic code of odd length is of the form C = <fh, 2fg> , where fgh = x^n − 1, we show that <2f> ⊆ K(C) ⊆ C and C ⊆ R(C) ⊆ <fh, 2g> where K(C) is the preimage of the binary kernel and R(C) is the preimage of the space generated by the image of C. [...]
2016 - 10.1007/s10623-015-0163-6
Designs codes and cryptography, Vol. 81, Issue 2 (Nov. 2016) , p. 347-364  
3.
8 p, 1010.8 KB Ranks and kernels of codes from generalized Hadamard matrices / Dougherty, Steven T. (University of Scranton. Department of Mathematics) ; Rifà i Coma, Josep (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions) ; Villanueva, M. (Mercè) (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
The ranks and kernels of generalized Hadamard matrices are studied. It is proved that any generalized Hadamard matrix H(q, λ) over Fq , q > 3, or q = 3 and gcd(3, λ) ≠ 1, generates a self-orthogonal code. [...]
2016 - 10.1109/TIT.2015.2509061
IEEE transactions on information theory, Vol. 62 No. 2 (Feb. 2016) , p. 687-694  
4.
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  
5.
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) (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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