The CRC Handbook of Finite Fields (hereafter referred to as the Handbook) is a reference
book for the theory and applications of finite fields. It is not intended to be an introductory …

This book is mainly devoted to some computational and algorithmic problems in finite fields
such as, for example, polynomial factorization, finding irreducible and primitive polynomials …

The idea of writing a book Topics in Galois Fields originated a long time ago, maybe in
1999, when the Fifth International Conference on Finite Fields and Applications was hosted …

This volume presents an exhaustive treatment of computation and algorithms for finite fields.
Topics covered include polynomial factorization, finding irreducible and primitive …

Explicit theorems on generator polynomials Page 1 Finite Fields and Their Applications 11 (2005)
337–357 http://www.elsevier.com/locate/ffa Explicit theorems on generator polynomials …

Let E be a finite degree extension over a finite field F= GF (q), G the Galois group of E over F
and let a∈ F be nonzero. We prove the existence of an element w in E satisfying the …

Let Fq denote the finite field of order q, a power of a prime p, and n be a positive integer. We
resolve completely the question of whether there exists a primitive element of Fqn which is …

Primitive elements in finite fields and costas arrays Page 1 AAECC 2, 45 53 (1991) AAECC
Applicable Algebra in Engineering, Communication and Computing © Springer-Verlag 1991 …

On the existence of some specific elements in finite fields of characteristic 2 Page 1 Finite Fields
and Their Applications 18 (2012) 800–813 Contents lists available at SciVerse ScienceDirect …

Character sums over Galois rings and primitive polynomials over finite fields Page 1 Finite
Fields and Their Applications 10 (2004) 36–52 Character sums over Galois rings and primitive …