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Publications by Author: Chatouh, Karima

2023
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. Publisher's VersionAbstract

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.

2022
Haddouche O, Zekraoui H, Chatouh K. HOMMOGENOUS WEIGHTS ON THE RING R5,3 = F5 + U1F5 + U2F5 + U3F5. Advances in Mathematics: Scientific Journal [Internet]. 2022;11 (11) :1103–1114. Publisher's VersionAbstract

In this paper, we investigate linear codes over the ring R5,3 = F5 + u1F5 + u2F5 + u3F5, and we determine the homogeneous weight of this ring, to derive some properties corresponding to these codes.

2016
Chatouh K, Guenda K, Gulliver TA, Noui L. Simplex and MacDonald codes over Rq. Journal of Applied Mathematics and ComputingJournal of Applied Mathematics and Computing. 2016;55 :455–478.Abstract
In this paper, we introduce the homogeneous weight and homogeneous Gray map over the ring Rq=F2[u1,u2,…,uq]/⟨u2i=0,uiuj=ujui⟩ for q>=1q>=1. We also consider the construction of simplex and MacDonald codes of types α and β over this ring and their covering radius.
Chatouh K, Guenda K, Gulliver TA, Noui L. On some classes of linear codes over Z2Z4 and their covering radii. Journal of Applied Mathematics and ComputingJournal of Applied Mathematics and Computing. 2016;53 :201–222.Abstract
In this paper, we define the simplex and MacDonald codes of types αα and β over Z2Z4. We also examine the covering radii of these codes. Further, we study the binary images of these codes and prove that the binary image of the simplex codes of type αα meets the Gilbert bound.