1 citations · 5 across the 12 of their papers we have counts for
12 papers
Revisiting the action of a subgroup of the modular group on imaginary quadratic number fields
Abdulaziz Deajim
Consider the modular group $\mbox{PSL}(2,\mathbb{Z})=\langle x, \, y \,|\, x^2=y^3=1\rangle$ generated by the transformations and . Let b…
On a Theorem of Dedekind
Abdulaziz Deajim, Lhoussain El Fadil, Ahmed Najim
Let be an arbitrary valued field with valuation ring and , where is a root of a monic irreducible polynomial . In this paper, we characterize…
On Self-Orthogonality and Self-Duality of Matrix-Product Codes over Commutative Rings
Abdulaziz Deajim, Mohamed Bouye
Let be a commutative ring with identity. The paper studies the problem of self-orthogonality and self-duality matrix-product codes (MPCs) over . Some methods as well as spec…
Matrix-Product Codes over Commutative Rings and Constructions Arising from -Codes
Mhammed Boulagouaz, Abdulaziz Deajim
A well-known lower bound (over finite fields and some special finite commutative rings) on the Hamming distance of a matrix-product code (MPC) is shown to remain valid over any com…
The Hulls of Matrix-Product Codes over Commutative Rings and Applications
Abdulaziz Deajim, Mohamed Bouye, Kenza Guenda
Given a commutative ring with identity, a matrix , and -linear codes of the same length, this article considers…
On the number of orbits arising from the action of $\mbox{PSL}(2,\mathbb{Z})$ on imaginary quadratic number fields
Muhammad Aslam, Abdulaziz Deajim
For square-free positive integers , we study the action of the modular group $\mbox{PSL}(2,\mathbb{Z})$ on the subsets $\{\,\frac{a+\sqrt{-n}}{c}\in \mathbb{Q}(\sqrt{-n})\, | \,…