7 citations · 9 across the 8 of their papers we have counts for
13 papers
Decoding Reed-Solomon Skew-Differential Codes
José Gómez-Torrecillas, Gabriel Navarro, José Patricio Sánchez-Hernández
A large class of MDS linear codes is constructed. These codes are endowed with an efficient decoding algorithm. Both the definition of the codes and the design of their decoding al…
Peterson-Gorenstein-Zierler algorithm for differential convolutional codes
José Gómez-Torrecillas, F. J. Lobillo, Gabriel Navarro +1
Differential Convolutional Codes with designed Hamming distance are defined, and an algebraic decoding algorithm, inspired by Peterson-Gorenstein-Zierler's algorithm, is designed f…
Biseparable extensions are not necessarily Frobenius
José Gómez-Torrecillas, F. J. Lobillo, Gabriel Navarro +1
We give necessary and sufficient conditions on an Ore extension , where is a finite dimensional algebra over a field , for being a Frobenius extension ove…
Finite dual of a cocommutative Hopf algebroid. Application to linear differential matrix equations and Picard-Vessiot theory
Laiachi El Kaoutit, José Gómez-Torrecillas
A fundamental tool of Differential Galois Theory is the assignment of an algebraic group to each finite-dimensional differential module over differential field in such a way that t…
Re-filtración y propiedades de regularidad de anillos multi-filtrados
José Gómez-Torrecillas
Quantum bounded extensions of multifiltered algebras are defined, and they are endowed with a new multifiltration. The behavior of the associated multigraded rings is studied. A re…
Weak multiplier bialgebras
Gabriella Böhm, José Gómez-Torrecillas, Esperanza López-Centella
A non-unital generalization of weak bialgebra is proposed with a multiplier-valued comultiplication. Certain canonical subalgebras of the multiplier algebra (named the `base algebr…