AbstractWith one non-trivial exception, GF(qn) contains a primitive element of arbitrary trace over GF(q)
AbstractThe primitive elements of a finite field are those elements of the field that generate the m...
The key result linking the additive and multiplicative structure of a finite field is the Primitive ...
We prove that for all q > 61, every non-zero element in the finite field Fq can be written as a l...
AbstractLet Fq denote the finite field of order q, a power of a prime p, and n be a positive integer...
AbstractThe object of this paper is to present a simple proof for the existence of primitive element...
AbstractLet Fq denote the finite field of order q, a power of a prime p, and n be a positive integer...
AbstractThe object of this paper is to prove the existence of a primitive quadratic of trace 1 over ...
This paper contains a self-contained, minimal computational account of Cohen's 1990 theorem that the...
We prove that for all q > 61, every non-zero element in the finite field Fq can be written as a line...
The existence of a primitive free (normal) cubic x3 - ax2 + cx - b over a finite field F with arbitr...
This thesis concerns existence of primitive polynomials over finite fields with one coefficient arbi...
This thesis concerns existence of primitive polynomials over finite fields with one coefficient arbi...
AbstractA primitive element of the Galois ring GR(pn, m) is an element of the group U of units whose...
This thesis concerns existence of primitive polynomials over finite fields with one coefficient arbi...
AbstractGiven the extension E/F of Galois fields, where F=GF(q) and E=GF(qn), we prove that, for any...
AbstractThe primitive elements of a finite field are those elements of the field that generate the m...
The key result linking the additive and multiplicative structure of a finite field is the Primitive ...
We prove that for all q > 61, every non-zero element in the finite field Fq can be written as a l...
AbstractLet Fq denote the finite field of order q, a power of a prime p, and n be a positive integer...
AbstractThe object of this paper is to present a simple proof for the existence of primitive element...
AbstractLet Fq denote the finite field of order q, a power of a prime p, and n be a positive integer...
AbstractThe object of this paper is to prove the existence of a primitive quadratic of trace 1 over ...
This paper contains a self-contained, minimal computational account of Cohen's 1990 theorem that the...
We prove that for all q > 61, every non-zero element in the finite field Fq can be written as a line...
The existence of a primitive free (normal) cubic x3 - ax2 + cx - b over a finite field F with arbitr...
This thesis concerns existence of primitive polynomials over finite fields with one coefficient arbi...
This thesis concerns existence of primitive polynomials over finite fields with one coefficient arbi...
AbstractA primitive element of the Galois ring GR(pn, m) is an element of the group U of units whose...
This thesis concerns existence of primitive polynomials over finite fields with one coefficient arbi...
AbstractGiven the extension E/F of Galois fields, where F=GF(q) and E=GF(qn), we prove that, for any...
AbstractThe primitive elements of a finite field are those elements of the field that generate the m...
The key result linking the additive and multiplicative structure of a finite field is the Primitive ...
We prove that for all q > 61, every non-zero element in the finite field Fq can be written as a l...