Results 11 to 20 of about 1,535,218 (92)

On Symbol-Pair Distance of a Class of Constacyclic Codes of Length 3p^s over ${\mathbb{F}}_{p^m}+u{\mathbb{F}}_{p^m}$

Axioms, 2023
Let p≠3 be any prime. In this paper, we compute symbol-pair distance of all γ-constacyclic codes of length 3ps over the finite commutative chain ring R=Fpm+uFpm, where γ is a unit of R which is not a cube in Fpm.
Hai Q. Dinh, Hiep L. Thi, Roengchai Tansuchat   +2 more
doaj   +2 more sources

Linear complementary pairs of skew constacyclic codes [PDF]

, 2023
Linear complementary pairs (LCPs) of codes have been studied since they were introduced in the context of discussing mitigation measures against possible hardware attacks to integrated circuits. Since the security parameters for LCPs of codes are defined
Muñoz, José Manuel, Lobillo, F. J.
core   +1 more source

Repeated-Root Constacyclic Codes Over the Chain Ring F_p^m[u]/⟨u³⟩

IEEE Access, 2020
Let Z = Fpm[u]/(u3) 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-root constacyclic codes of arbitrary lengths over Z and their ...
Tania Sidana, Anuradha Sharma
doaj   +1 more source

Explicit Representation and Enumeration of Repeated-Root (δ + αu²)-Constacyclic Codes Over F₂^m[u]/‹u^2λ›

IEEE Access, 2020
Let F2(m) be a finite field of 2m elements, λ and k be integers satisfying λ, k ≥ 2 and denote R = F2(m)[u]/(u2λ). Let δ, α ∈ F2(m)×.
Yuan Cao, Yonglin Cao, Hai Q. Dinh, Tushar Bag, Woraphon Yamaka   +4 more
doaj   +1 more source

On the Hamming Distances of Constacyclic Codes of Length 5p^S

IEEE Access, 2020
Let $p$ be a prime, $s$ , $m$ be positive integers, and $\lambda $ be a nonzero element of the finite field $\mathbb {F}_{p^{m}}$ . In this paper, the algebraic structures of constacyclic codes of length $5~p^{s}~(p\neq 5)$ are obtained, which ...
Hai Q. Dinh, Xiaoqiang Wang, Jirakom Sirisrisakulchai   +2 more
doaj   +1 more source

The $\ell$-intersection Pairs of Constacyclic and Conjucyclic Codes [PDF]

, 2023
A pair of linear codes whose intersection is of dimension $\ell$, where $\ell$ is a non-negetive integer, is called an $\ell$-intersection pair of codes.
Hossain, Md Ajaharul, Bandi, Ramakrishna
core   +1 more source

Skew Constacyclic Codes over Finite Fields and Finite Chain Rings

Mathematical Problems in Engineering, Volume 2016, Issue 1, 2016., 2016
This paper overviews the study of skew Θ‐λ‐constacyclic codes over finite fields and finite commutative chain rings. The structure of skew Θ‐λ‐constacyclic codes and their duals are provided. Among other results, we also consider the Euclidean and Hermitian dual codes of skew Θ‐cyclic and skew Θ‐negacyclic codes over finite chain rings in general and ...
Hai Q. Dinh, Bac T. Nguyen, Songsak Sriboonchitta, Haipeng Peng   +3 more
wiley   +1 more source

The Depth Distribution of Constacyclic Codes Over $F_p+vF_p$

IEEE Access, 2018
The depth distribution of a linear code was put forward by Etzion as a new characterization for linear codes. The previously known results pay close attention to the depth distribution of the linear codes over chain rings.
Guanghui Zhang
doaj   +1 more source

Hermitian Self‐Orthogonal Constacyclic Codes over Finite Fields

Journal of Discrete Mathematics, Volume 2014, Issue 1, 2014., 2014
Necessary and sufficient conditions for the existence of Hermitian self‐orthogonal constacyclic codes of length n over a finite field Fq2, n coprime to q, are found. The defining sets and corresponding generator polynomials of these codes are also characterised. A formula for the number of Hermitian self‐orthogonal constacyclic codes of length n over a
Amita Sahni, Poonam Trama Sehgal, Tamir Tassa   +2 more
wiley   +1 more source