@article {93709,
	title = {Construction of linear codes over $\mathfrak{R}=\sum_{s=0}^{4} v_{5}^{s}\mathcal{A}_{4}$},
	journal = {MATHEMATICAL MODELING AND COMPUTING},
	volume = {10},
	number = {1},
	year = {2023},
	pages = {147{\textendash}158},
	abstract = {
	The aim of this paper is to propose a new family of codes.\&nbsp; We define this family over the ring\&nbsp;R=∑4s=0vs5A4R=∑s=04v5sA4, with\&nbsp;v55=v5v55=v5.\&nbsp; We derive its properties, a generator matrix and Gray images.\&nbsp; This new family of codes is illustrated by three applications.

},
	url = {https://doi.org/10.23939/mmc2023.01.147},
	author = {Malki, M and Chatouh, Karima}
}
@article {83782,
	title = {HOMMOGENOUS WEIGHTS ON THE RING R5,3 = F5 + U1F5 + U2F5 + U3F5},
	journal = {Advances in Mathematics: Scientific Journal},
	volume = {11},
	number = {11},
	year = {2022},
	pages = {1103{\textendash}1114},
	abstract = {
	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.

},
	url = {https://research-publication.com/amsj/uploads/papers/vol-11/iss-11/AMSJ-2022-N11-11.pdf},
	author = {Haddouche, Ouarda and Zekraoui, Hanifa and Chatouh, Karima}
}
@article {65517,
	title = {Simplex and MacDonald codes over Rq},
	journal = {Journal of Applied Mathematics and ComputingJournal of Applied Mathematics and Computing},
	volume = {55},
	year = {2016},
	month = {2016},
	pages = {455{\textendash}478},
	abstract = {In this paper, we introduce the homogeneous weight and homogeneous Gray map over the ring\&nbsp;Rq=F2[u1,u2,{\textellipsis},uq]/⟨u2i=0,uiuj=ujui⟩\&nbsp;for\&nbsp;q>=1q>=1. We also consider the construction of simplex and MacDonald codes of types\&nbsp;α\&nbsp;and\&nbsp;β\&nbsp;over this ring and their covering radius.},
	author = {Chatouh, Karima and Guenda, Kenza and Gulliver, T. A. and Noui, Lemnouar}
}
@article {65516,
	title = {On some classes of linear codes over Z2Z4 and their covering radii},
	journal = {Journal of Applied Mathematics and ComputingJournal of Applied Mathematics and Computing},
	volume = {53},
	year = {2016},
	month = {2016},
	pages = {201{\textendash}222},
	abstract = {In this paper, we define the simplex and MacDonald codes of types\&nbsp;αα\&nbsp;and\&nbsp;β\&nbsp;over\&nbsp;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\&nbsp;αα\&nbsp;meets the Gilbert bound.},
	author = {Chatouh, Karima and Guenda, Kenza and Gulliver, T. Aaron and Noui, Lemnouar}
}
