In this article, keeping the huge research prospective of the study in mind, we consider the
non-commutative ring M4 (F2), the set of all 4× 4 matrices over the field F2 and confirm that …

In this article, for a prime p such that p≡ 2 or 3 (mod 5), we identify cyclic codes of length N
over R= M 2 (F p+ u F p), u 2= 0 as right R-submodules of R [x]/⟨ x N-1⟩. Also, we define an …

Let p be a prime and F q be a finite field for q= pm. In this paper, we consider the ring R= M 4
(F 2+ u F 2) of 4× 4 matrices over the finite ring F 2+ u F 2 with u 2= 0. Then R is a …

The algebraic structure of skew cyclic codes over $ M_ {2} $($\mathbb {F} _2 $), using the
$\mathbb {F} _4 $-cyclic algebra, is studied in this work. We determine that a skew cyclic …

The algebraic structure of skew cyclic codes over M2 (F2), using the F4-cyclic algebra, is
studied in this work. We determine that a skew cyclic code with a polynomial of minimum …

Cyclic codes over finite rings have been at the centre of attraction among researchers since
1994 [9]. They have a rich algebraic structure and, consequently, produce a huge amount of …

In this article, keeping the huge research prospective of the study in mind, we consider the
non-commutative ring M _4 (F _2) M 4 (F 2), the set of all 4 * 4 4× 4 matrices over the field F …