1 citations · 1 across the 6 of their papers we have counts for
6 papers
Disproving some theorems in Sharma and Chauhan et al. (2018, 2021)
Ramy Takieldin, Patrick Solé
The main objective of this work is to show, through counterexamples, that some of the theorems presented in the papers of Sharma \textit{et al.} (2018) and Chauhan \textit{et al.}…
On Galois duality, self-orthogonality, and dual-containment of matrix product codes
Ramy Farouk Taki Eldin
In recent literature, matrix product (MP) codes and their duals have gained significant attention due to their application in the construction of quantum stabilizer codes. In this…
Matrix product and quasi-twisted codes in one class
Ramy Taki Eldin
Many classical constructions, such as Plotkin's and Turyn's, were generalized by matrix product (MP) codes. Quasi-twisted (QT) codes, on the other hand, form an algebraically rich…
Generator polynomial matrices of the Galois hulls of multi-twisted codes
Ramy Taki Eldin, Patrick Sole
In this study, we consider the Euclidean and Galois hulls of multi-twisted (MT) codes over a finite field of characteristic . Let be a generator…
The two-sided Galois duals of multi-twisted codes
Ramy F. Taki Eldin
Characterizing the duals of linear codes with rich algebraic structures received great interest in recent decades. The beginning was by representing cyclic codes over finite fields…
Multi-twisted codes as free modules over principal ideal domains
Ramy Taki ElDin
We begin this chapter by introducing the simple algebraic structure of cyclic codes over finite fields. This structure undergoes a series of generalizations to present algebraic de…