36 citations · 74 across the 28 of their papers we have counts for
35 papers
Skew differential Goppa codes and their application to McEliece cryptosystem
José Gómez-Torrecillas, F. J. Lobillo, Gabriel Navarro
A class of linear codes that extends classic Goppa codes to a non-commutative context is defined. An efficient decoding algorithm, based on the solution of a non-commutative key eq…
Primitive idempotents in central simple algebras over with an application to coding theory
J. Gómez-Torrecillas, P. Kutas, F. J. Lobillo +1
We consider the algorithmic problem of computing a primitive idempotent of a central simple algebra over the field of rational functions over a finite field. The algebra is given b…
Genetic algorithms with permutation-based representation for computing the distance of linear codes
M. P. Cuéllar, J. Gómez-Torrecillas, F. J. Lobillo +1
Finding the minimum distance of linear codes is an NP-hard problem. Traditionally, this computation has been addressed by means of the design of algorithms that find, by a clever e…
Some remarks on non projective Frobenius algebras and linear codes
José Gómez-Torrecillas, Erik Hieta-aho, F. J. Lobillo +2
With a small suitable modification, dropping the projectivity condition, we extend the notion of a Frobenius algebra to grant that a Frobenius algebra over a Frobenius commutative…
Minimum distance computation of linear codes via genetic algorithms with permutation encoding
José Gómez-Torrecillas, F. J. Lobillo, Gabriel Navarro
We design a heuristic method, a genetic algorithm, for the computation of an upper bound of the minimum distance of a linear code over a finite field. By the use of the row reduced…
Dual skew codes from annihilators: Transpose Hamming ring extensions
José Gómez-Torrecillas, F. J. Lobillo, Gabriel Navarro
In this paper a framework to study the dual of skew cyclic codes is proposed. The transposed Hamming ring extensions are based in the existence of an anti-isomorphism of algebras b…