AbstractA polynomial ƒ over a finite field F is called a difference permutation polynomial if the mapping x → ƒ(x + a) − ƒ(x) is a permutation of F for each nonzero element a of F. Difference permutation polynomials give rise to affine planes. We show that when F = GF(p), where p is a prime, the only difference permutation polynomials over F are quadratic
In this paper we determine b is an element of F-qn*. for which the polynomial f(x) = x(s+1) + bx is ...
A polynomial f over a finite field F is called a permutation polynomial if the mapping F→F defined b...
AbstractWe present new classes of permutation polynomials over finite fields. If q is the order of t...
AbstractA polynomial ƒ over a finite field F is called a difference permutation polynomial if the ma...
Permutation polynomials are an interesting subject of mathematics and have applications in other are...
For a positive integer k and a linearized polynomial L(X), polynomials of the form P(X) = G(X)(k) - ...
Using a lemma proved by Akbary, Ghioca, and Wang, we derive several theorems on permutation polynomi...
In this work, some results regarding permutation polynomials over finite fields will be explored. I...
Let H be a subgroup of the multiplicative group of a finite field. In this note we give a method for...
Let p be a prime and q = pk. The polynomial gn,q isin Fp[x] defined by the functional equation Sigma...
AbstractTwo classes of permutation polynomials over finite fields are presented. The first class is ...
It is shown that a polynomial of the shap 1 + x + x is a permutation polynomial over a finite field ...
In this paper, we propose several classes of permutation polynomials with the form (xpm −x+δ)s1 +(xp...
A polynomial f over a finite feld F is a permutation polynomial if the mapping F→F defined by f is o...
AbstractLet p be a prime and q=pκ. We study the permutation properties of the polynomial gn,q∈Fp[x] ...
In this paper we determine b is an element of F-qn*. for which the polynomial f(x) = x(s+1) + bx is ...
A polynomial f over a finite field F is called a permutation polynomial if the mapping F→F defined b...
AbstractWe present new classes of permutation polynomials over finite fields. If q is the order of t...
AbstractA polynomial ƒ over a finite field F is called a difference permutation polynomial if the ma...
Permutation polynomials are an interesting subject of mathematics and have applications in other are...
For a positive integer k and a linearized polynomial L(X), polynomials of the form P(X) = G(X)(k) - ...
Using a lemma proved by Akbary, Ghioca, and Wang, we derive several theorems on permutation polynomi...
In this work, some results regarding permutation polynomials over finite fields will be explored. I...
Let H be a subgroup of the multiplicative group of a finite field. In this note we give a method for...
Let p be a prime and q = pk. The polynomial gn,q isin Fp[x] defined by the functional equation Sigma...
AbstractTwo classes of permutation polynomials over finite fields are presented. The first class is ...
It is shown that a polynomial of the shap 1 + x + x is a permutation polynomial over a finite field ...
In this paper, we propose several classes of permutation polynomials with the form (xpm −x+δ)s1 +(xp...
A polynomial f over a finite feld F is a permutation polynomial if the mapping F→F defined by f is o...
AbstractLet p be a prime and q=pκ. We study the permutation properties of the polynomial gn,q∈Fp[x] ...
In this paper we determine b is an element of F-qn*. for which the polynomial f(x) = x(s+1) + bx is ...
A polynomial f over a finite field F is called a permutation polynomial if the mapping F→F defined b...
AbstractWe present new classes of permutation polynomials over finite fields. If q is the order of t...
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