The existence of a primitive free (normal) cubic x3 - ax2 + cx - b over a finite field F with arbitrary specified values of a (≠0) and b (primitive) is guaranteed. This is the most delicate case of a general existence theorem whose proof is thereby completed
This thesis concerns existence of primitive polynomials over finite fields with one coefficient arbi...
AbstractIn this paper, we established the existence of a primitive normal polynomial over any finite...
Let E be a finite degree extension over a finite field F = GF(q), G the Galois group of E over F and...
The existence of a primitive free (normal) cubic x3 - ax2 + cx - b over a finite field F with arbitr...
AbstractGiven the extension E/F of Galois fields, where F=GF(q) and E=GF(qn), we prove that, for any...
The key result linking the additive and multiplicative structure of a finite field is the Primitive ...
The key result linking the additive and multiplicative structure of a finite field is the Primitive ...
Given the extension E/F of Galois fields, where F = GF(q) and E = GF(q^n), we prove that, for any pr...
Given the extension E/F of Galois fields, where F = GF(q) and E = GF(q^n), we prove that, for any pr...
AbstractWith one non-trivial exception, GF(qn) contains a primitive element of arbitrary trace over ...
AbstractWe continue to study the existence of (norm- and) trace-compatible sequences of primitive no...
AbstractGiven an extension E/F of Galois fields and an intermediate field K, we consider the problem...
AbstractLet Fq be a finite field with q=pk elements. We prove that for any given n⩾7, and any elemen...
AbstractIn this paper, we prove that for any given n⩾2, there exists a constant C(n) such that for a...
AbstractIn this paper, we prove that for any given n⩾2, there exists a constant C(n) such that for a...
This thesis concerns existence of primitive polynomials over finite fields with one coefficient arbi...
AbstractIn this paper, we established the existence of a primitive normal polynomial over any finite...
Let E be a finite degree extension over a finite field F = GF(q), G the Galois group of E over F and...
The existence of a primitive free (normal) cubic x3 - ax2 + cx - b over a finite field F with arbitr...
AbstractGiven the extension E/F of Galois fields, where F=GF(q) and E=GF(qn), we prove that, for any...
The key result linking the additive and multiplicative structure of a finite field is the Primitive ...
The key result linking the additive and multiplicative structure of a finite field is the Primitive ...
Given the extension E/F of Galois fields, where F = GF(q) and E = GF(q^n), we prove that, for any pr...
Given the extension E/F of Galois fields, where F = GF(q) and E = GF(q^n), we prove that, for any pr...
AbstractWith one non-trivial exception, GF(qn) contains a primitive element of arbitrary trace over ...
AbstractWe continue to study the existence of (norm- and) trace-compatible sequences of primitive no...
AbstractGiven an extension E/F of Galois fields and an intermediate field K, we consider the problem...
AbstractLet Fq be a finite field with q=pk elements. We prove that for any given n⩾7, and any elemen...
AbstractIn this paper, we prove that for any given n⩾2, there exists a constant C(n) such that for a...
AbstractIn this paper, we prove that for any given n⩾2, there exists a constant C(n) such that for a...
This thesis concerns existence of primitive polynomials over finite fields with one coefficient arbi...
AbstractIn this paper, we established the existence of a primitive normal polynomial over any finite...
Let E be a finite degree extension over a finite field F = GF(q), G the Galois group of E over F and...