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31 p, 699.1 KB |
C ⋆ -algebras of higher-rank graphs from groups acting on buildings, and explicit computation of their K-theory
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Mutter, Sam A. (Newcastle University. School of Mathematics, Statistics and Physics) ;
Radu, Aura-Cristiana (Newcastle University. School of Mathematics, Statistics and Physics) ;
Vdovina, Alina (Newcastle University. School of Mathematics, Statistics and Physics)
We unite elements of category theory, K-theory, and geometric group theory, by defining a class of groups called k-cube groups, which act freely and transitively on the product of k trees, for arbitrary k. [...]
2024 - 10.5565/PUBLMAT6812408
Publicacions matemàtiques, Vol. 68 Núm. 1 (2024) , p. 187-217 (Articles)
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24 p, 472.5 KB |
On the equivalence of Z ps -linear generalized Hadamard codes
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Bhunia, Dipak Kumar (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions) ;
Fernández Córdoba, Cristina (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions) ;
Vela, Carlos (Universidade de Aveiro. Department of Mathematics) ;
Villanueva, M (Mercè) (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
Linear codes of length n over Zps , p prime, called Zps -additive codes, can be seen as subgroups of Zn ps . A Zps -linear generalized Hadamard (GH) code is a GH code over Zp which is the image of a Zps -additive code under a generalized Gray map. [...]
2023 - 10.1007/s10623-023-01325-2
Designs, codes and cryptography, Vol. 91, Issue 12 (December 2023)
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13 p, 516.1 KB |
Rank and kernel of additive generalised Hadamard codes
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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)
A subset of a vector space Fn q is additive if it is a linear space over the field Fp, where q = pe, p prime, and e > 1. Bounds on the rank and dimension of the kernel of additive generalised Hadamard (additive GH) codes are established. [...]
2021 - 10.1109/TIT.2021.3100433
IEEE Transactions on Information Theory, Vol. 67, Issue 11 (November 2021) , p. 7210-7220
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15 p, 455.1 KB |
Quaternary group ring codes : ranks, kernels and self-dual codes
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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
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