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 …
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 …
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 …
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 …
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 …
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 …
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 …
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 …
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) …