Dec 6, 2022 · We characterize constacyclic codes over the ring \mathcal{R} and study quantum codes from these. As an application, some new and better quantum ...

Aug 28, 2020 · 1 Introduction. Like classical linear codes, quantum codes help to protect quantum information during transmission through a quantum channel.

Constacyclic codes, which contain the well-known classes of cyclic codes and negacyclic codes, have good algebraic struc- tural properties. They are naturally ...

In this paper, we aim to construct quantum codes from skew constacyclic codes over R ℓ , m . First, we discuss the structures of skew constacyclic codes and ...

Sep 27, 2023 · 2.1, we study quantum codes over Fq from constacyclic codes over R and obtain some new and better quantum codes by using MAGMA computation ...

Constacyclic codes, a robust extension of cyclic codes over finite non-chain rings, have proven to be a prolific source of new quantum codes. Recent research by ...

Jul 28, 2021 · This section aims to obtain quantum codes from skew λ-constacyclic codes over Re, q. To do so, first, we need to classify dual containing skew λ ...

Dec 6, 2022 · While constructing quantum codes from constacyclic codes over R, we observe that the choice of the polynomials fi(ui),1 ≤ i ≤ k is irrelevant, ...

Based on the above studies, one can say that the constacyclic codes are a great resource to supply good quantum codes over finite rings. Hence, it is logical to ...

First, we decompose ( λ 1 + u λ 2 + v λ 3 ) -constacyclic code into the direct sum of λ 1 -constacyclic, ( λ 1 + γ λ 2 ) -constacyclic and ( λ 1 + δ λ 3 ) - ...