AbstractA polynomial f(X) over a finite field is an orthomorphism if both f(X) and f(X)-X are permutation polynomials. We prove the existence of several classes of cyclotomic orthomorphisms and extend the results to R-orthomorphisms
In this paper we determine b is an element of F-qn*. for which the polynomial f(x) = x(s+1) + bx is ...
In this work, some results regarding permutation polynomials over finite fields will be explored. I...
In this paper, we present three results on cyclotomic polynomials. First, we present results about f...
AbstractA polynomial f(X) over a finite field is an orthomorphism if both f(X) and f(X)-X are permut...
AbstractIn this paper, we give explicit formulas for the number of cyclotomic orthomorphisms of Fq o...
This thesis deals with two related combinatorial topics, namely cyclotomic orthomorphisms and diagon...
This thesis deals with two related combinatorial topics, namely cyclotomic orthomorphisms and diagon...
We explore a connection between permutation polynomials of the form x r f(x(q-1)/l) and cyclotomic m...
In this note, we give a shorter proof of the result of Zheng, Yu, and Pei on the explicit formula of...
We use cyclotomy to construct new classes of permutation polynomials over finite fields. This allows...
Let q be a prime power and let be a finite field with q elements. This paper discusses the explicit ...
AbstractTwo classes of permutation polynomials over finite fields are presented. The first class is ...
Using a lemma proved by Akbary, Ghioca, and Wang, we derive several theorems on permutation polynomi...
We study the explicit factorization of 2nr -th cyclotomic polynomials over finite field Fq where q, ...
Permutation polynomials are an interesting subject of mathematics and have applications in other are...
In this paper we determine b is an element of F-qn*. for which the polynomial f(x) = x(s+1) + bx is ...
In this work, some results regarding permutation polynomials over finite fields will be explored. I...
In this paper, we present three results on cyclotomic polynomials. First, we present results about f...
AbstractA polynomial f(X) over a finite field is an orthomorphism if both f(X) and f(X)-X are permut...
AbstractIn this paper, we give explicit formulas for the number of cyclotomic orthomorphisms of Fq o...
This thesis deals with two related combinatorial topics, namely cyclotomic orthomorphisms and diagon...
This thesis deals with two related combinatorial topics, namely cyclotomic orthomorphisms and diagon...
We explore a connection between permutation polynomials of the form x r f(x(q-1)/l) and cyclotomic m...
In this note, we give a shorter proof of the result of Zheng, Yu, and Pei on the explicit formula of...
We use cyclotomy to construct new classes of permutation polynomials over finite fields. This allows...
Let q be a prime power and let be a finite field with q elements. This paper discusses the explicit ...
AbstractTwo classes of permutation polynomials over finite fields are presented. The first class is ...
Using a lemma proved by Akbary, Ghioca, and Wang, we derive several theorems on permutation polynomi...
We study the explicit factorization of 2nr -th cyclotomic polynomials over finite field Fq where q, ...
Permutation polynomials are an interesting subject of mathematics and have applications in other are...
In this paper we determine b is an element of F-qn*. for which the polynomial f(x) = x(s+1) + bx is ...
In this work, some results regarding permutation polynomials over finite fields will be explored. I...
In this paper, we present three results on cyclotomic polynomials. First, we present results about f...