In this paper, we study the skew-cyclic codes (also called θ-cyclic codes) over the ring S= Z
4+ u Z 4+ v Z 4, where u 2= v 2= uv= vu= 0. Some structural properties of the skew …

In this work, we study the DNA multi-secret sharing schemes (DNA-MSSS) based on codes
over the ring Z 4× R where R= Z 4+ u Z 4, with u 2= 0. We establish a one-to-one …

Abstract Z _2 Z _ 4 Z 2 Z 4-additive codes have been defined as a subgroup of Z _2^ r * Z
_4^ s Z 2 r× Z 4 s in 6 where Z _2 Z 2, Z _ 4 Z 4 are the rings of integers modulo 2 and 4 …

For any prime p and positive integer m, let R be the finite commutative ring F _ p^ m+ u F _
p^ m+ v F _ p^ m+ uv F _ p^ m F pm+ u F pm+ v F pm+ uv F pm, where u^ 2= 0, v^ 2= 0 u 2 …

In this work, we introduce the F q R-linear skew cyclic codes, wh ere q= ps is a prime power
and R= F q+ u F q with u 2= 0. We provide the algebraic structure of these codes. The dual …

In this paper, we investigate the structure and properties of skew negacyclic codes and skew
quasi-negacyclic codes over the ring R= ℤ q+ u ℤ q, u 2= 0. Some structural properties of R …

In this paper, codes over the direct product of two finite commutative chain rings are studied.
The standard form of the parity-check matrix is determined. The structure of self-dual codes …

In this paper, we study the skew cyclic codes over the ring S=Z_8+uZ_8+vZ_8, where u^2=u,
v^2=v, uv=vu=0. We consider these codes as left Sx,θ-submodules and use the Gray map …

This work has reached this level by producing two journal papers and four conference
papers. The first journal paper is entitled,«On Codes over Fq+ vFq+ v2Fq», it appeared in …

In this paper, we study the properties of skew cyclic and skew negacyclic codes over the ring
R= Zq+ uZq, u2= 0. We give the complete structure of skew cyclic and skew negacyclic …