Primitive elements and polynomials with arbitrary trace
Discrete Mathematics
The explicit construction of irreducible polynomials over finite fields
Designs, Codes and Cryptography
Explicit N-polynomials of 2-power degree over finite fields, I.
Designs, Codes and Cryptography
The coefficients of primitive polynomials over finite fields
Mathematics of Computation
Designs, Codes and Cryptography
Generators and irreducible polynomials over finite fields
Mathematics of Computation
Open problems and conjectures in finite fields
FFA '95 Proceedings of the third international conference on Finite fields and applications
Distribution of irreducible polynomials of small degrees over finite fields
Mathematics of Computation
Primitivity, freeness, norm and trace
Discrete Mathematics
New primitive t-nomials (t&equil;3,5) over GF(2) whose degree is a Mersenne exponent
Mathematics of Computation
Primitive Polynomials over Finite Fields of Characteristic Two
Applicable Algebra in Engineering, Communication and Computing
Finite Fields: Theory and Computation The Meeting Point of Number Theory, Computer Science, Coding Theory and Cryptography
Primitive polynomials with a prescribed coefficient
Finite Fields and Their Applications
Irreducible polynomials over finite fields with prescribed trace/prescribed constant term
Finite Fields and Their Applications
Primitive polynomial with three coefficients prescribed
Finite Fields and Their Applications
Irreducible polynomials over GF(2) with three prescribed coefficients
Finite Fields and Their Applications
Primitive polynomials with first and second coefficients prescribed
Finite Fields and Their Applications
On Two Exponential Sums and Their Applications
Finite Fields and Their Applications
Completely Normal Elements in Iterated Quadratic Extensions of Finite Fields
Finite Fields and Their Applications
Recurrent methods for constructing irreducible polynomials over Fq of odd characteristics
Finite Fields and Their Applications
A characterization of primitive polynomials over finite fields
Finite Fields and Their Applications
Generators for primary closures of Galois fields
Finite Fields and Their Applications
Iterated constructions of irreducible polynomials over finite fields with linearly independent roots
Finite Fields and Their Applications
Primitive Normal Bases for Towers of Field Extensions
Finite Fields and Their Applications
Character sums over Galois rings and primitive polynomials over finite fields
Finite Fields and Their Applications
Recurrent Methods for Constructing Irreducible Polynomials over GF(2s)
Finite Fields and Their Applications
Primitive Elements with Zero Traces
Finite Fields and Their Applications
On deciding deep holes of Reed-Solomon codes
TAMC'07 Proceedings of the 4th international conference on Theory and applications of models of computation
A transform property of Kloosterman sums
Discrete Applied Mathematics
Irreducible compositions of polynomials over finite fields
Designs, Codes and Cryptography
On explicit factors of cyclotomic polynomials over finite fields
Designs, Codes and Cryptography
Elliptic curves and explicit enumeration of irreducible polynomials with two coefficients prescribed
Finite Fields and Their Applications
Self-reciprocal irreducible polynomials with prescribed coefficients
Finite Fields and Their Applications
Irreducible coefficient relations
SETA'12 Proceedings of the 7th international conference on Sequences and Their Applications
Composed products and factors of cyclotomic polynomials over finite fields
Designs, Codes and Cryptography
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Progress over the past decade is surveyed concerning explicit existence and construction theorems on irreducible, primitive and normal polynomials.