We provide necessary conditions for polynomials F-A,F-B,F-m,F-n(X) = Xn+m(1 +AX(m(q-1)) + BXn(q-1)) is an element of F-q[X], n, m odd, over F-q(2) , q even, to be permutations. The main tool is the study of algebraic curves associated with the polynomial F-A,F-B,F-m,F-n(X) and in particular the investigation of their singularities. (C) 2021 Elsevier Inc. All rights reserved.
On trinomials of type X-n+m(1+AX(m)(q-1) + BXn(q-1)), n, m odd, over Fq(2), q = 2(2)s+1
Bartoli, D;Timpanella, M
2021
Abstract
We provide necessary conditions for polynomials F-A,F-B,F-m,F-n(X) = Xn+m(1 +AX(m(q-1)) + BXn(q-1)) is an element of F-q[X], n, m odd, over F-q(2) , q even, to be permutations. The main tool is the study of algebraic curves associated with the polynomial F-A,F-B,F-m,F-n(X) and in particular the investigation of their singularities. (C) 2021 Elsevier Inc. All rights reserved.File in questo prodotto:
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