Elias Javier Garcia Claro

activity

20172023

most citedOn the dimension of ideals in group algebras, and group codes

1 citations · 1 across the 4 of their papers we have counts for

collaborators

Showing cs.ITShow all

3 papers · 1 filter

cs.IT2022

On Grid Codes

E. J. García-Claro, Ismael Gutiérrez

Generating functions for the size of a $r$ -sphere, with respect to the Manhattan distance in an $n$ -dimensional grid, are used to provide explicit formulas for the minimum and maxi…

cs.IT2020★ 1 cited

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…

cs.IT2017

$F_{q} [G]$ -modules and $G$ -invariant codes

Elias Javier Garcia Claro, Horacio Tapia Recillas

If $F_{q}$ is a finite field, $C$ is a vector subspace of $F_{q}^{n}$ (linear code), and $G$ is a subgroup of the group of linear automorphisms of $\mathbb{F}_{q}…

On Grid Codes

On the dimension of ideals in group algebras, and group codes

Fq​[G]-modules and G-invariant codes

$F_{q} [G]$ -modules and $G$ -invariant codes