Citation:
Malki M, Chatouh K. Construction of linear codes over $\mathfrak{R}=\sum_{s=0}^{4} v_{5}^{s}\mathcal{A}_{4}$. MATHEMATICAL MODELING AND COMPUTING [Internet]. 2023;10 (1) :147–158.
Abstract:
The aim of this paper is to propose a new family of codes. We define this family over the ring R=∑4s=0vs5A4R=∑s=04v5sA4, with v55=v5v55=v5. We derive its properties, a generator matrix and Gray images. This new family of codes is illustrated by three applications.