In this work, we present a matrix construction for reversible codes derived from skew
dihedral group rings. By employing this matrix construction, the ring Fj, k and its associated …

In this paper, we show that one can construct a $ G $-code from group rings that is
reversible. Specifically, we show that given a group with a subgroup of order half the order of …

Let k, m be positive integers and F 2 m be a finite field of order 2 m of characteristic 2. The
primary goal of this paper is to study the structural properties of cyclic codes over the ring S …

We introduce skew cyclic codes over the finite ring \R, where u^2=0,v^2=v,w^2=w,uv=vu,uw
=wu,vw=wv and use them to construct reversible DNA codes. The 4-mers are matched with …

The DNA 4-bases are matched with the 256 elements of the finite ring R= F_ 4+ uF_ 4+ vF_
4+ uvF_ 4 R= F 4+ u F 4+ v F 4+ uv F 4, where u^ 2= u, v^ 2= v, uv= vu u 2= u, v 2= v, uv= vu …

In this paper, by using three different methods, the DNA codes are obtained from some
codes over a family of the rings\(D_ {i}= D_ {1}\left [w_ {2},..., w_ {i}\right]/\left\langle w_ {i}^{2} …

Bydefining a non-trivial automorphism overR= Z_4+ uZ_4+ vZ, _4+ uvZ_4whereu^ 2= u, v^
2= v, uv= vu andZ_4={0, 1, 2, 3}, the skew cyclic codes over the finite ring Rare introduced …

Firstly, by using a non-trivial automorphism θ i over A i, where i= 2, 3,..., k, we define the
skew cyclic codes over a family of the rings. By using them, we obtain the reversible DNA …

In this paper, Glift codes, generalized lifted polynomials, matrices are introduced. The
advantage of Glift code is" distance preserving" over the ring R. Then optimal codes can be …