This paper discusses the structure of skew constacyclic codes and their Hermitian dual over
finite commutative non-chain ring R ℓ:= F q 2 [v 1, v 2,⋯, v ℓ]/⟨ vi 2-1, vivj-vjvi⟩ 1≤ i, j≤ ℓ …

Let F _q F q be the finite field of order q= p^ mq= pm, where p is a prime, m is a positive
integer, and R= F _q u, v/⟨ u^ 2-u, v^ 2-v, uv-vu ⟩ R= F qu, v/⟨ u 2-u, v 2-v, uv-vu⟩. Thus R …

For a prime p, let F _ q^ 2 F q 2 be the finite field of q^ 2 q 2 elements where q= p^ mq= pm
and m ≥ 1 m≥ 1 is an integer. In this paper, we study constacyclic and skew constacyclic …

In this paper, we first modify a result of constructing quantum error-correcting (QEC) codes
via Hermitian dual to via Euclidean dual over finite fields. Then, we give five methods of …

In this paper, we establish three methods of constructing quantum error-correcting codes
(QECCs) via quantum construction X of the Euclidean dual over finite fields. Then, we …

Let $ S_ {k}={\mathbb {F}} _ {q}[u_ {1}, u_ {2},\ldots, u_ {k}]/\langle u^{3} _ {i}= u_ {i}, u_ {i} u_
{j}= u_ {j} u_ {i}= 0\rangle $, where $1\leq i, j\leq k $, $ q= p^{m} $, p is an odd prime. First …

In this paper, we study skew constacyclic codes over a class of non-chain rings T= F q [u 1, u
2,…, ur]/⟨ fi (ui), uiuj-ujui⟩ i, j= 1 r, where q= pm, p is some odd prime, m is a positive …

This paper establishes the relation between skew polycyclic and skew sequential codes
over a finite field. We prove with different induced vectors that right Θ-polycyclic codes are …

Quantum error correcting codes (QECC) is becoming an increasingly important branch of
coding theory. For classical block codes, a\href {codetables. de}{comprehensive database of …

Let F q be the finite field of q elements where q= pm and p is a prime. This work presents
quantum codes from (f, σ, δ)-skew polycyclic codes (SPC) over the ring R= F q+ u F q, u 2 …