3 citations · 4 across the 5 of their papers we have counts for
5 papers
Multivariable codes in principal ideal polynomial quotient rings with applications to additive modular bivariate codes over
E. Martínez-Moro, A. Piñera-Nicolás, I. F. Rúa
In this work, we study the structure of multivariable modular codes over finite chain rings when the ambient space is a principal ideal ring. We also provide some applications to a…
Codes over Affine Algebras with a Finite Commutative Chain coefficient Ring
E. Martínez-Moro, A. Piñera-Nicolás, I. F. Rúa
We consider codes defined over an affine algebra , where is a monic univariate polynomial…
On power sums of matrices over a finite commutative ring
P. Fortuny, J. M. Grau, A. M. Oller-Marcén +1
In this paper we deal with the problem of computing the sum of the -th powers of all the elements of the matrix ring with and a finite commutative ri…
Determination of division algebras with 243 elements
I. F. Rúa, Elías F. Combarro, J. Ranilla
Finite nonassociative division algebras (i.e., finite semifields) with 243 elements are completely classified.
Multivariable codes over finite chain rings: semisimple codes
E. Martinez-Moro, I. F. Rua
The structure of multivariate semisimple codes over a finite chain ring is established using the structure of the residue field . Multivariate codes extend in a natural…