[HTML][HTML] Quantum codes from skew constacyclic codes over the ring Fq [u, v]∕< u2− 1, v2− 1, uv− vu

T Bag, HQ Dinh, AK Upadhyay, R Bandi… - Discrete Mathematics, 2020 - Elsevier
In this paper, we study quantum error-correcting codes from skew constacyclic codes over
the ring R= F q [u, v]< u 2− 1, v 2− 1, uv− vu>, where q= pm for any odd prime p and positive …

Quantum codes from a class of constacyclic codes over finite commutative rings

HQ Dinh, T Bag, AK Upadhyay, M Ashraf… - Journal of Algebra …, 2020 - World Scientific
Let p be an odd prime, and k be an integer such that gcd (k, p)= 1. Using pairwise
orthogonal idempotents γ 1, γ 2, γ 3 of the ring ℛ= 𝔽 p [u]/〈 uk+ 1− u〉, with γ 1+ γ 2+ γ 3= 1 …

[HTML][HTML] Construction and enumeration for self-dual cyclic codes of even length over F2m+ uF2m

Y Cao, Y Cao, HQ Dinh, FW Fu, F Ma - Finite Fields and Their Applications, 2020 - Elsevier
Let F 2 m be a finite field of cardinality 2 m, R= F 2 m+ u F 2 m (u 2= 0) and s, n be positive
integers such that n is odd. In this paper, we give an explicit representation for every self …

MDS constacyclic codes and MDS symbol-pair constacyclic codes

HQ Dinh, BT Nguyen, AK Singh, W Yamaka - IEEE Access, 2021 - ieeexplore.ieee.org
Symbol-pair codes are used to protect against symbol-pair errors in high density data
storage systems. One of the most important tasks in symbol-pair coding theory is to design …

A class of skew cyclic codes and application in quantum codes construction

HQ Dinh, T Bag, AK Upadhyay, R Bandi… - Discrete …, 2021 - Elsevier
Let p be an odd prime, and k an integer such that k∣(p− 1). This paper studies quantum
codes from skew cyclic codes over the ring R= F q [u]< u k+ 1− u>, where q is a power of the …

Optimal constructions of quantum and synchronizable codes from repeated-root cyclic codes of length

HQ Dinh, BT Nguyen, M Paravee, HL Thi… - Quantum Information …, 2023 - Springer
In this paper, we use the CSS and Steane's constructions to establish quantum error-
correcting codes (briefly, QEC codes) from cyclic codes of length 3 ps over F pm. We obtain …

Some Classes of New Quantum MDS and Synchronizable Codes Constructed From Repeated-Root Cyclic Codes of Length 6ps

HQ Dinh, HT Le, BT Nguyen, P Maneejuk - IEEE Access, 2021 - ieeexplore.ieee.org
In this paper, we use the CSS and Steane's constructions to establish quantum error-
correcting codes (briefly, QEC codes) from cyclic codes of length over. We obtain several …

Global asymptotic stability for a nonlinear density-dependent mortality Nicholson's blowflies system involving multiple pairs of time-varying delays

Y Xu, Q Cao - Advances in Difference Equations, 2020 - Springer
In our article, a nonlinear density-dependent mortality Nicholson's blowflies system with
patch structure has been investigated, in which the delays are time-varying and multiple …

[HTML][HTML] On matrix-product structure of repeated-root constacyclic codes over finite fields

Y Cao, Y Cao, HQ Dinh, FW Fu, P Maneejuk - Discrete Mathematics, 2020 - Elsevier
For any prime number p, positive integers m, k, n, where n satisfies gcd (p, n)= 1, and for any
non-zero element λ 0 of the finite field F pm of cardinality pm, we prove that any λ 0 p k …

[HTML][HTML] An efficient method to construct self-dual cyclic codes of length ps over Fpm+ uFpm

Y Cao, Y Cao, HQ Dinh, S Jitman - Discrete Mathematics, 2020 - Elsevier
Let p be any odd prime number, m and s be arbitrary positive integers, and let F pm be the
finite field of cardinality p m. Existing literature only determines the number of all (Euclidean) …