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UAB Digital Repository of Documents 6 records found  Search took 0.02 seconds. 
1.
32 p, 607.0 KB Partial permutation decoding and PD-sets for Zps-linear generalized Hadamard codes / Torres-Martín, Adrián (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions) ; Villanueva, M (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
It is known that Zps-linear codes, which are the Gray map image of Zps-additive codes (linear codes over Zps), are systematic and a systematic encoding has been found. This makes Zps-linear codes suitable to apply the permutation decoding method. [...]
2024 - 10.1016/j.ffa.2023.102316
Finite Fields and their Applications, Vol. 93 (January 2024) , art. 102316  
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2.
26 p, 555.0 KB Linearity and classification of ZpZp^2-linear generalized Hadamard codes / 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) ; Villanueva, M (Mercè) (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
The ZpZp2 -additive codes are subgroups of Zα1 p × Zα2 p2 , and can be seen as linear codes over Zp when α2 = 0, Zp2 -additive codes when α1 = 0, or Z2Z4-additive codes when p = 2. A ZpZp2 -linear generalized Hadamard (GH) code is a GH code over Zp which is the Gray map image of a ZpZp2 -additive code. [...]
2023 - 10.1016/j.ffa.2022.102140
Finite Fields and their Applications, Vol. 86 (February 2023) , art. 102140  
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3.
26 p, 542.6 KB On the constructions of ZpZp2-linear generalized Hadamard codes / 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) ; Villanueva, M. (Mercè) (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
The ZZ-additive codes are subgroups of Z ×Z , and can be seen as linear codes over Z when α=0, Z-additive codes when α=0, or ZZ-additive codes when p=2. A ZZ-linear generalized Hadamard (GH) code is a GH code over Z which is the Gray map image of a ZZ-additive code. [...]
2022 - 10.1016/j.ffa.2022.102093
Finite Fields and their Applications, Vol. 83 (October 2022) , art. 102093  
Detailed record - Creative Commons
4.
25 p, 465.8 KB On LCD, self dual and isodual cyclic codes over finite chain rings / Benyettou, Amel (University of Science and Technology of Algiers) ; Batoul, Aicha (University of Science and Technology of Algiers) ; Fernández Córdoba, Cristina (Universitat Autònoma de Barcelona. Departament d'Enginyeria de la Informació i de les Comunicacions)
In this paper, LCD cyclic, self dual and isodual codes over finite chain rings are investigated. It was proven recently that a non-free LCD cyclic code does not exist over finite chain rings. Based on algebraic number theory, we introduce necessary and sufficient conditions for which all free cyclic codes over a finite chain ring are LCD. [...]
2022 - 10.1016/j.ffa.2022.101993
Finite Fields and their Applications, Vol. 79 (March 2022) , art. 101993  
Detailed record - Creative Commons
5.
19 p, 415.1 KB On Z2Z4-additive complementary dual codes and related LCD codes / Benbelkacem, N. (University of Science and Technology Houari Boumediene. Faculty of Mathematics) ; Borges, J. (Joaquim), (Joaquim), dir. (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)
Linear complementary dual codes were defined by Massey in 1992, and were used to give an optimum linear coding solution for the two user binary adder channel. In this paper, we define the analog of LCD codes over fields in the ambient space with mixed binary and quaternary alphabets. [...]
2020 - 10.1016/j.ffa.2019.101622
Finite Fields and their Applications, Vol. 62 (Feb. 2020) , art. 101622  
Detailed record - Creative Commons
6.
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)
We give an algebraic structure for a large family of binary quasi-cyclic codes. We construct a family of commutative rings and a canonical Gray map such that cyclic codes over this family of rings produce quasi-cyclic codes of arbitrary index in the Hamming space via the Gray map. [...]
2016 - 10.1016/j.ffa.2016.04.002
Finite fields and their applications, Vol. 40 (July 2016) , p. 138-149  
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