Let p be an odd prime, q= pm, R 1= F q+ u F q+ v F q+ uv F q with u 2= 1, v 2= 1, uv= vu and
R 2= F q [u, v, w]/⟨ u 2-1, v 2-1, w 2-1, uv-vu, vw-wv, wu-uw⟩ with u 2= 1, v 2= 1, w 2= 1, uv …

Let q be a prime power and let ℛ= 𝔽 q [u 1, u 2,…, uk]/〈 f 1 (u 1),…, fk (uk), uiuj− ujui〉 be a
finite non-chain ring, where fi (ui), 1≤ i≤ k, are polynomials, not all linear, which split into …

Let m≥ 1 be a fixed integer and q be an odd prime such that q= pm. The aim of this paper is
to study cyclic codes over a non-chain ring R= F q+ v F q+ v 2 F q, where v 3= v. Precisely …

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 …

For an odd prime p and a positive integer r, let q= pr. The objective of this article is to study
cyclic codes over the ring S= F q [u, v, w]/⟨ u 3-u, v 2-v, w 2-w, uv, vu, uw, wu, vw-wv⟩ and to …

The key objective of this paper is to study the cyclic codes over mixed alphabets on the
structure of F q PQ, where P= F q [v]〈 v 3− α 2 2 v〉 and Q= F q [u, v]〈 u 2− α 1 2, v 3− α 2 2 …

Some combinatorial designs, such as Hadamard matrices, have been extensively
researched and are familiar to readers across the spectrum of Science and Engineering …

This paper presents some results on 1-generator quasi-cyclic (QC) codes and their duals
over finite fields. We have explicitly obtained a set of generators for the dual of a 1-generator …

The main focus of this paper is to analyze the algebraic structure of constacyclic codes over
the ring R= F p+ w 1 F p+ w 2 F p+ w 2 2 F p+ w 1 w 2 F p+ w 1 w 2 2 F p, where w 1 2− α 2 …

Recently, many good quantum codes over various finite fields $ F_q $ have been
constructed from codes over extension rings or mixed alphabet rings via some version of a …