4 papers
New results on linear permutation polynomials with coefficients in a subfield
Elías Javier García Claro, Gustavo Terra Bastos
Some families of linear permutation polynomials of with coefficients in are explicitly described (via conditions on their coefficients) a…
On Grid Codes
E. J. García-Claro, Ismael Gutiérrez
Generating functions for the size of a -sphere, with respect to the Manhattan distance in an -dimensional grid, are used to provide explicit formulas for the minimum and maxi…
On the dimension of ideals in group algebras, and group codes
Elias Javier Garcia Claro, Horacio Tapia Recillas
Several relations and bounds for the dimension of principal ideals in group algebras are determined by analyzing minimal polynomials of regular representations. These results are u…
-modules and -invariant codes
Elias Javier Garcia Claro, Horacio Tapia Recillas
If is a finite field, is a vector subspace of (linear code), and is a subgroup of the group of linear automorphisms of $\mathbb{F}_{q}…