AbstractWe give several necessary conditions for the reversed Dickson polynomial Dn(1,x) to be a permutation of Fq. In particular, we give explicit evaluation of ∑a∈FqDn(1,a)i for i=1,2
AbstractLetTn(x,a) ∈ GF(q)[x] be a Dickson polynomial over the finite field GF(q) of either the firs...
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields
AbstractIn this paper we establish necessary and sufficient conditions for Dn(x, a) + b to be irredu...
AbstractReversed Dickson polynomials over finite fields are obtained from Dickson polynomials Dn(x,a...
AbstractWe give several necessary conditions for the reversed Dickson polynomial Dn(1,x) to be a per...
AbstractTwo new classes of permutation polynomials over finite fields are presented: (i) f(x)=(1−x−x...
Let $p$ be an odd prime. In this paper, we study the permutation behaviour of the reversed Dickson p...
AbstractWe construct a class of permutation polynomials of F2m that are closely related to Dickson p...
2000 Mathematics Subject Classification: 11T06, 13P10.A theorem of S.D. Cohen gives a characterizati...
AbstractLet p be a prime and q=pκ. We study the permutation properties of the polynomial gn,q∈Fp[x] ...
AbstractThe known permutation behaviour of the Dickson polynomials of the second kind in characteris...
We show that all of the "new" permutation polynomials in the recent paper arXiv:2207.13335 (H. Song ...
AbstractLet Fq denote the finite field of order q where q is a prime power. If a ∈ Fq and d ≥ 1 is a...
We give new descriptions of the factors of Dickson polynomials over finite fields
AbstractWe derive the factorizations of the Dickson polynomialsDn(X,a) andEn(X,a), and of the bivari...
AbstractLetTn(x,a) ∈ GF(q)[x] be a Dickson polynomial over the finite field GF(q) of either the firs...
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields
AbstractIn this paper we establish necessary and sufficient conditions for Dn(x, a) + b to be irredu...
AbstractReversed Dickson polynomials over finite fields are obtained from Dickson polynomials Dn(x,a...
AbstractWe give several necessary conditions for the reversed Dickson polynomial Dn(1,x) to be a per...
AbstractTwo new classes of permutation polynomials over finite fields are presented: (i) f(x)=(1−x−x...
Let $p$ be an odd prime. In this paper, we study the permutation behaviour of the reversed Dickson p...
AbstractWe construct a class of permutation polynomials of F2m that are closely related to Dickson p...
2000 Mathematics Subject Classification: 11T06, 13P10.A theorem of S.D. Cohen gives a characterizati...
AbstractLet p be a prime and q=pκ. We study the permutation properties of the polynomial gn,q∈Fp[x] ...
AbstractThe known permutation behaviour of the Dickson polynomials of the second kind in characteris...
We show that all of the "new" permutation polynomials in the recent paper arXiv:2207.13335 (H. Song ...
AbstractLet Fq denote the finite field of order q where q is a prime power. If a ∈ Fq and d ≥ 1 is a...
We give new descriptions of the factors of Dickson polynomials over finite fields
AbstractWe derive the factorizations of the Dickson polynomialsDn(X,a) andEn(X,a), and of the bivari...
AbstractLetTn(x,a) ∈ GF(q)[x] be a Dickson polynomial over the finite field GF(q) of either the firs...
AbstractWe give new descriptions of the factors of Dickson polynomials over finite fields
AbstractIn this paper we establish necessary and sufficient conditions for Dn(x, a) + b to be irredu...
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