On a class of permutation trinomials over finite fields
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Date
2024
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Publisher
Tubitak Scientific & Technological Research Council Turkey
Abstract
In this paper, we study the permutation properties of the class of trinomials of the form f (x ) = x( 4q+1 )+ lambda (1 )x (q +4) + lambda( 2 )x (2q +3) is an element of F (q) 2 [x ] , where lambda( 1 ), lambda (2) is an element of F (q) and they are not simultaneously zero. We find all necessary and sufficient conditions on lambda (1) and lambda (2) such that f (x ) permutes F( q )2 , where q is odd and q = 2( 2k+1) , k is an element of N.
Description
Özkaya, Buket/0000-0003-2658-5441
Keywords
Permutation polynomials, finite fields, Hasse -Weil bound, cryptography
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0
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Q2
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Q2
Source
Volume
48
Issue
4