4 papers
Skew Laurent Series and General Cyclic Convolutional Codes
José Gómez-Torrecillas, José Patricio Sánchez-Hernández
Convolutional codes were originally conceived as vector subspaces of a finite-dimensional vector space over a field of Laurent series having a polynomial basis. Piret and Roos mode…
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…