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 $\mathcal{A}=R[X_1,\dots ,X_r]/⟨t_1(X_1),\dots ,t_r(X_r)⟩$, where $t_i(X_i)$ is a monic univariate polynomial…