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Miguel Angel Borges-Trenard
Miguel Angel Borges-Trenard
Profesor de Matemática. Universidad Antonio Nariño.
Verified email at uan.edu.co
Title
Cited by
Cited by
Year
Gröbner bases and combinatorics for binary codes
M Borges-Quintana, MA Borges-Trenard, P Fitzpatrick, E Martínez-Moro
Applicable Algebra in Engineering, Communication and Computing 19 (5), 393-411, 2008
672008
On a Gröbner bases structure associated to linear codes
M Borges-Quintana, MA Borges-Trenard, E Martinez-Moro
Journal of Discrete Mathematical Sciences and Cryptography 10 (2), 151-191, 2007
372007
Computing Gröbner bases by FGLM techniques in a non-commutative setting
MA Borges-Trenard, M Borges-Quintana, T Mora
Journal of Symbolic Computation 30 (4), 429-449, 2000
332000
A general framework for applying FGLM techniques to linear codes
M Borges-Quintana, MA Borges-Trenard, E Martínez-Moro
Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 16th …, 2006
192006
An application of genetic algorithm to cryptanalysis of block ciphers by partitioning the key space
MÁ Borges-Trenard, M Borges-Quintana, L Monier-Columbié
Journal of Discrete Mathematical Sciences and Cryptography, 1-10, 2019
132019
Computing coset leaders and leader codewords of binary codes
M Borges-Quintana, MA Borges-Trenard, I Márquez-Corbella, ...
Journal of Algebra and its Applications 14 (08), 1550128, 2015
112015
A Gröbner representation for linear codes
M Borges-Quintana, MA Borges-Trenard, E Martinez-Moro
Advances in coding theory and cryptography, 17-32, 2007
92007
Complete presentations of direct products of groups
M Borges-Trenard, H Pérez-Rosés
81999
An application of Möller’s algorithm to coding theory
M Borges-Quintana, MA Borges-Trenard, E Martínez-Moro
Gröbner Bases, Coding, and Cryptography, 379-384, 2009
62009
GBLA-LC: Gröbner Bases by Linear Algebra and Linear Codes
M Borges-Quintana, MA Borges-Trenard, E Martınez-Moro
ICM 2006. Mathematical Software, 604-605, 2006
62006
An application of the FGLM techniques to linear codes
M Borges-Quintana, MA Borges-Trenard, F Winkler
Fourth Italian-Latin American Conference on Applied and Industrial …, 2001
62001
FGLM Techniques Applied to Linear Codes–An Algorithm for Decoding Linear Codes
M Borges-Quintana, F Winkler, M Borges-Trenard
Techn. Rep. RISC-Linz, RISC-00-14, J. Kepler Univ., Linz, Austria, 00-14, 2000
62000
Study of Parameters in the Genetic Algorithm for the Attack on Block Ciphers
O Tito-Corrioso, MA Borges-Trenard, M Borges-Quintana, O Rojas, ...
Symmetry 13 (5), 806, 2021
52021
Computing Gröbner bases associated with lattices.
I Álvarez-Barrientos, M Borges-Quintana, MA Borges-Trenard, D Panario
Advances in Mathematics of Communications 10 (4), 2016
52016
An algebraic view to gradient descent decoding
M Borges Quintana, B Trenard, I Márquez-Corbella, E Martínez-Moro
arXiv e-prints, arXiv: 1008.4474, 2010
52010
Gröbner basis property on elimination ideals in finite group theory
MA Borges-Trenard, H Pérez-Rosés, M Borges-Quintana
Procs. of the Conf.“Logic, Mathematics and Computer Science: Interactions …, 2002
42002
On the use of gröbner bases for computing the structure of finite abelian groups
M Borges-Quintana, MA Borges-Trenard, E Martínez-Moro
International Workshop on Computer Algebra in Scientific Computing, 52-64, 2005
32005
On the Fitness Functions Involved in Genetic Algorithms and the Cryptanalysis of Block Ciphers
O Tito-Corrioso, M Borges-Quintana, MA Borges-Trenard, O Rojas, ...
Entropy 25 (2), 261, 2023
22023
Gröbner Representations of Binary Matroids
M Borges-Quintana, MA Borges-Trenard, E Martínez-Moro
International Symposium on Applied Algebra, Algebraic Algorithms, and Error …, 2009
22009
An FGLM Method for Decoding Linear Codes
MB Quintana, F Winkler, MAB Trenard
Encuentro, 117-128, 2008
22008
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