M. Charkani

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cs.IT2025

Construction of DNA codes using $θ$ -skew cyclic codes over $F_{4} + v F_{4}$

Joël Kabore, Mohammed Elhassani Charkani

In this paper, we investigate $θ$ -skew cyclic codes over the ring $R = F_{4} + v F_{4}$ , where $v^{2} = v$ and $θ$ is a non-trivial automorphism over $\mathbb{F}_4 + v \ma…

cs.IT2019

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings

Mohammed Elhassani Charkani, Joël Kabore

Let $R$ be a commutative local finite ring. In this paper, we construct the complete set of pairwise orthogonal primitive idempotents of $R [X] / < g >$ where $g$ is a regular polynomia…

cs.IT2019

Skew-constacyclic codes over $\frac{F _{q} [ v ]}{⟨ v ^{q} - v ⟩}$

Joël Kabore, Alexandre Fotue-Tabue, Kenza Guenda +1

In this paper, the investigation on the algebraic structure of the ring $\frac{F _{q} [ v ]}{⟨ v ^{q} - v ⟩}$ and the description of its automorphism group, enable to s…

Construction of DNA codes using θ-skew cyclic codes over F4​+vF4​

Primitive Idempotents and Constacyclic Codes over Finite Chain Rings

Skew-constacyclic codes over ⟨vq−v⟩Fq​[v]​

Construction of DNA codes using $θ$ -skew cyclic codes over $F_{4} + v F_{4}$

Skew-constacyclic codes over $\frac{F _{q} [ v ]}{⟨ v ^{q} - v ⟩}$