A. Piñera-Nicolás

collaborators

2 papers

cs.IT2017

Multivariable codes in principal ideal polynomial quotient rings with applications to additive modular bivariate codes over $F_{4}$

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…

cs.IT2017

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 $A = R [X_{1}, \dots, X_{r}] / ⟨ t_{1} (X_{1}), \dots, t_{r} (X_{r}) ⟩$ , where $t_{i} (X_{i})$ is a monic univariate polynomial…

Multivariable codes in principal ideal polynomial quotient rings with applications to additive modular bivariate codes over F4​

Codes over Affine Algebras with a Finite Commutative Chain coefficient Ring

Multivariable codes in principal ideal polynomial quotient rings with applications to additive modular bivariate codes over $F_{4}$