AbstractNiederreiter in 1991 proposed an open problem–to characterize the polynomials in Fq[x1,…,xn] which are permutation polynomials over every finite extension of Fq. The answer is well known for the case n=1. In this paper the author studies it for the case n=2 and solves the problem under a condition gcd (∂f∂x1,∂f∂x2)=1 and Degf≢0(modp
From the 19th century, the theory of permutation polynomial over finite fields, that are arose in th...
AbstractWe construct a class of permutation polynomials of F2m that are closely related to Dickson p...
AbstractLet Fq[x,y] be the polynomial algebra in two variables over the finite field Fq with q eleme...
AbstractWe present new classes of permutation polynomials over finite fields. If q is the order of t...
AbstractWe extend some classical results on polynomial functions modpl. We prove all results in alge...
We first study the ring of q-polynomials over Fq by constructing an isomorphism between this ring an...
AbstractLet Vf denote the value set (image) of a polynomial f∈Fq[x]. We relate the number of polynom...
AbstractGeneralizing the norm and trace mappings for Fqr/Fq, we introduce an interesting class of po...
We show that all of the "new" permutation polynomials in the recent paper arXiv:2207.13335 (H. Song ...
Let p be a prime and q = pk. The polynomial gn,q isin Fp[x] defined by the functional equation Sigma...
We give a proof of a theorem on the common divisibility of polynomials and permuted polynomials (ove...
Let p be a prime and q = pk. The polynomial gn,q isin Fp[x] defined by the functional equation Sigma...
AbstractTwo new classes of permutation polynomials over finite fields are presented: (i) f(x)=(1−x−x...
AbstractLetk=GF(q) be the finite field of orderq. Letf1(x),f2(x)∈k[x] be monic relatively prime poly...
AbstractMethods for constructing large families of permutation polynomials of finite fields are intr...
From the 19th century, the theory of permutation polynomial over finite fields, that are arose in th...
AbstractWe construct a class of permutation polynomials of F2m that are closely related to Dickson p...
AbstractLet Fq[x,y] be the polynomial algebra in two variables over the finite field Fq with q eleme...
AbstractWe present new classes of permutation polynomials over finite fields. If q is the order of t...
AbstractWe extend some classical results on polynomial functions modpl. We prove all results in alge...
We first study the ring of q-polynomials over Fq by constructing an isomorphism between this ring an...
AbstractLet Vf denote the value set (image) of a polynomial f∈Fq[x]. We relate the number of polynom...
AbstractGeneralizing the norm and trace mappings for Fqr/Fq, we introduce an interesting class of po...
We show that all of the "new" permutation polynomials in the recent paper arXiv:2207.13335 (H. Song ...
Let p be a prime and q = pk. The polynomial gn,q isin Fp[x] defined by the functional equation Sigma...
We give a proof of a theorem on the common divisibility of polynomials and permuted polynomials (ove...
Let p be a prime and q = pk. The polynomial gn,q isin Fp[x] defined by the functional equation Sigma...
AbstractTwo new classes of permutation polynomials over finite fields are presented: (i) f(x)=(1−x−x...
AbstractLetk=GF(q) be the finite field of orderq. Letf1(x),f2(x)∈k[x] be monic relatively prime poly...
AbstractMethods for constructing large families of permutation polynomials of finite fields are intr...
From the 19th century, the theory of permutation polynomial over finite fields, that are arose in th...
AbstractWe construct a class of permutation polynomials of F2m that are closely related to Dickson p...
AbstractLet Fq[x,y] be the polynomial algebra in two variables over the finite field Fq with q eleme...
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