A class of linear codes of length over finite chain rings

Y Cao, Y Cao, HQ Dinh, FW Fu, J Gao… - Journal of Algebra and …, 2020 - World Scientific
Let 𝔽 pm be a finite field of cardinality pm, where p is an odd prime, k, λ be positive integers
satisfying λ≥ 2, and denote 𝒦= 𝔽 pm [x]/〈 f (x) λ pk〉, where f (x) is an irreducible …

[HTML][HTML] A class of repeated-root constacyclic codes over Fpm [u]/< ue> of Type 2

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 …

[HTML][HTML] Type 2 constacyclic codes over F2m [u]∕< u3> of oddly even length

Y Cao, Y Cao, HQ Dinh, FW Fu, Y Gao… - Discrete …, 2019 - Elsevier
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 …

Repeated-Root Constacyclic Codes Over the Chain Ring Fpm[u]/⟨u3

T Sidana, A Sharma - IEEE Access, 2020 - ieeexplore.ieee.org
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 …

Self-dual constacyclic codes of length over the ring

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 …

[HTML][HTML] The dual code of any (δ+ αu2)-constacyclic code over F2m [u]∕< u4> of oddly even length

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 …

Explicit representation for a class of Type 2 constacyclic codes over the ring with even length

Y Cao, Y Cao, HQ Dinh, S Sriboonchitta… - arXiv preprint arXiv …, 2019 - arxiv.org
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 …

A Class of Left Dihedral Codes Over Rings

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 …

On a class of constacyclic codes over the non-principal ideal ring

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} …