G. Mullen

Publications193
h-index24
Citations2,389
Highly Influential Citations143
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Discrete Mathematics Using Latin Squares
LATIN SQUARES. A Brief Introduction to Latin Squares. Mutually Orthogonal Latin Squares. GENERALIZATIONS. Orthogonal Hypercubes. Frequency Squares. RELATED MATHEMATICS. Principle of… Expand
  • 246
  • 13
  • PDF
Handbook of Finite Fields
  • G. Mullen, D. Panario
  • Mathematics, Computer Science
  • Discrete mathematics and its applications
  • 17 June 2013
TLDR
Poised to become the leading reference in the field, the Handbook of Finite Fields is exclusively devoted to the theory and applications of finite fields. Expand
  • 233
  • 12
  • PDF
Existence and properties of k-normal elements over finite fields
An element α ? F q n is normal over F q if { α , α q , ? , α q n - 1 } is a basis for F q n over F q . It is well known that α ? F q n is normal over F q if and only if the polynomials g α ( x ) = α… Expand
  • 25
  • 11
Primitive polynomials over finite fields
In this note we extend the range of previously published tables of primitive polynomials over finite fields. For each p" < 1050 with p < 97 we provide a primitive polynomial of degree n over Fp .… Expand
  • 99
  • 8
  • PDF
Reversed Dickson polynomials over finite fields
TLDR
We study reversed Dickson polynomials with emphasis on their permutational properties over finite fields. Expand
  • 56
  • 7
  • PDF
When does a polynomial over a finite field permute the elements of the fields
  • 132
  • 6
Finite fields, coding theory, and advances in communications and computing
TLDR
The refereed proceedings of the First International Conference on Finite Fields, Coding Theory, and Advances in Communications and Computing. Expand
  • 91
  • 6
  • PDF
Distribution of irreducible polynomials of small degrees over finite fields
TLDR
An asymptotic version of a conjecture of Hansen and Mullen concerning the distribution of irreducible polynomials over finite fields. Expand
  • 27
  • 6
  • PDF
Completely Normal Primitive Basis Generators of Finite Fields
  • 9
  • 6
Products of mixed covering arrays of strength two
A covering arrayCA(N;t,k, v is an N × k array such that every N × t subarray contains all t-tuples from v symbols at least once, where t is the strength of the array. Covering arrays are used to… Expand
  • 101
  • 5
  • PDF