On a Class of Permutation Trinomials Over Finite Fields
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Date
2024
Authors
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Journal ISSN
Volume Title
Publisher
Tubitak Scientific & Technological Research Council Turkey
Open Access Color
GOLD
Green Open Access
No
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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
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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
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Citations
Scopus : 0
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10
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