Y Cao, Y Cao, HQ Dinh, FW Fu, J Gao… - Finite Fields and Their …, 2019 - Elsevier
Let F pm be a finite field of cardinality pm where p is an odd prime, n be a positive integer satisfying gcd (n, p)= 1, and denote R= F pm [u]/< ue> where e≥ 4 be an even integer. Let δ …
Let F 2 m be a finite field of cardinality 2 m, n be an odd positive integer, and denote R= F 2 m [u]∕< u 3>. Let δ, α∈ F 2 m×. Then (δ+ α u 2)-constacyclic codes over R are called …
Let Z= F pm [u]/(u 3) be the finite commutative chain ring, where p is a prime, m is a positive integer and Fpm is the finite field with pm elements. In this paper, we determine all repeated …
HQ Dinh, PK Kewat, S Kushwaha… - Journal of Applied …, 2022 - Springer
In this paper, we classify all self-dual λ λ-constacyclic codes of length 2^ s 2 s over the finite commutative local ring R_ u^ 2, v^ 2, 2^ m= F _ 2^ mu, v/⟨ u^ 2, v^ 2, uv-vu ⟩ R u 2, v 2, 2 …
Y Gao, FW Fu - Discrete Mathematics, 2019 - Elsevier
Let F 2 m be a finite field of cardinality 2 m, R= F 2 m [u]∕< u 4>= F 2 m+ u F 2 m+ u 2 F 2 m+ u 3 F 2 m (u 4= 0) which is a finite chain ring, and n is an odd positive integer. For any δ …
Let $\mathbb {F} _ {2^ m} $ be a finite field of cardinality $2^ m $, $\lambda $ and $ k $ be integers satisfying $\lambda, k\geq 2$ and denote $ R=\mathbb {F} _ {2^ m}[u]/\langle …
Y Cao, Y Cao, J Gao - IEICE Transactions on Fundamentals of …, 2017 - search.ieice.org
Let $ mathbb {F} _q $ be a finite field of q elements, $ R= mathbb {F} _q+ umathbb {F} _q $(u 2= 0) and D 2n=< x, y| xn= 1, y 2= 1, yxy= x-1> be a dihedral group of order n. Left ideals of …
Y Cao, Y Cao - arXiv preprint arXiv:1703.00761, 2017 - arxiv.org
$(1+ pw) $-constacyclic codes of arbitrary length over the non-principal ideal ring $\mathbb {Z} _ {p^ s}+ u\mathbb {Z} _ {p^ s} $ are studied, where $ p $ is a prime, $ w\in\mathbb {Z} …