On a Class of Permutation Trinomials Over Finite Fields
Loading...
Date
2024
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Tubitak Scientific & Technological Research Council Turkey
Open Access Color
GOLD
Green Open Access
No
OpenAIRE Downloads
OpenAIRE Views
Publicly Funded
No
BIP! Indicators
Impulse
Average
Influence
Average
Popularity
Average
Abstract
In this paper, we study the permutation properties of the class of trinomials of the form f (x) = x4q+1 + λ1xq+4 + λ2x2q+3 ∈ Fq2 [x] , where λ1, λ2 ∈ Fq and they are not simultaneously zero. We find all necessary and sufficient conditions on λ1 and λ2 such that f (x) permutes Fq2 , where q is odd and q = 22k+1, k ∈
Description
Özkaya, Buket/0000-0003-2658-5441
ORCID
Keywords
Permutation polynomials, finite fields, Hasse -Weil bound, cryptography, cryptography, Hasse-Weil bound, Algebraic coding theory; cryptography (number-theoretic aspects), permutation polynomials, Special polynomials in general fields, finite fields, Polynomials over finite fields
Turkish CoHE Thesis Center URL
Fields of Science
Citation
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
N/A
Source
Turkish Journal of Mathematics
Volume
48
Issue
4
Start Page
778
End Page
792
PlumX Metrics
Citations
Scopus : 0
