Gary L. Mullen

According to our database1, Gary L. Mullen authored at least 57 papers between 1980 and 2023.

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Bibliography

2023
In Memory of Professor Zhexian Wan.
Finite Fields Their Appl., December, 2023

2019
Sets of mutually orthogonal Sudoku frequency squares.
Des. Codes Cryptogr., 2019

Two extended Euler functions with applications to latin squares and bases of finite field extensions.
Bull. ICA, 2019

2017
Sudoku-like arrays, codes and orthogonality.
Des. Codes Cryptogr., 2017

Near-complete external difference families.
Des. Codes Cryptogr., 2017

2016
Fast and Simple Modular Interpolation Using Factorial Representation.
Am. Math. Mon., 2016

Finite field constructions of combinatorial arrays.
Des. Codes Cryptogr., 2016

2015
A second decade of "Finite Fields and Their Applications".
Finite Fields Their Appl., 2015

On coefficients of powers of polynomials and their compositions over finite fields.
CoRR, 2015

2014
Index bounds for value sets of polynomials over finite fields.
Proceedings of the Applied Algebra and Number Theory, 2014

2013
Existence and properties of k-normal elements over finite fields.
Finite Fields Their Appl., 2013

Value sets of polynomials.
Proceedings of the Handbook of Finite Fields., 2013

Introduction to primitive polynomials.
Proceedings of the Handbook of Finite Fields., 2013

Introduction to finite fields : Basic properties of finite fields.
Proceedings of the Handbook of Finite Fields., 2013

Latin squares.
Proceedings of the Handbook of Finite Fields., 2013

One variable.
Proceedings of the Handbook of Finite Fields., 2013

Several variables.
Proceedings of the Handbook of Finite Fields., 2013

2012
Sums of Reciprocals of Polynomials over Finite Fields.
Am. Math. Mon., 2012

Sets of orthogonal hypercubes of class r.
J. Comb. Theory A, 2012

Strong forms of orthogonality for sets of hypercubes.
Discret. Math., 2012

2009
The extent to which subsets are additively closed.
J. Comb. Theory A, 2009

Reversed Dickson polynomials over finite fields.
Finite Fields Their Appl., 2009

Number of irreducible polynomials and pairs of relatively prime polynomials in several variables over finite fields.
Finite Fields Their Appl., 2009

2008
A Polynomial Analogue of the 3n + 1 Problem.
Am. Math. Mon., 2008

2007
Finite Fields and Applications.
Student mathematical library 41, American Mathematical Society, ISBN: 978-0-8218-4418-2, 2007

2005
Transpositions and Representability.
Am. Math. Mon., 2005

A decade of Finite Fields and Their Applications.
Finite Fields Their Appl., 2005

Check Character Systems Using Quasigroups: II.
Des. Codes Cryptogr., 2005

Check Character Systems using Quasigroups: I.
Des. Codes Cryptogr., 2005

2004
Irreducible polynomials over GF(2) with prescribed coefficients.
Discret. Math., 2004

Sets of partially orthogonal latin squares and projective planes.
Discret. Math., 2004

Self-Reciprocal Irreducible Polynomials Over Finite Fields.
Des. Codes Cryptogr., 2004

Bijections and Congruences for Generalizations of Partition Identities of Euler and Guy.
Electron. J. Comb., 2004

2002
Constructions for mutually orthogonal frequency hyperrectangles with a prescribed type.
Discret. Math., 2002

A Constructive Finite Field Method for Scattering Points on the Surface of d-Dimensional Spheres.
Computing, 2002

A hierarchy of complete orthogonal structures.
Ars Comb., 2002

2001
A Table of Lower Bounds for the Number of Mutually Orthogonal Frequency Squares.
Ars Comb., 2001

2000
Parallel computing of a quasi-Monte Carlo algorithm for valuing derivatives.
Parallel Comput., 2000

1999
A note on BIB designs with nested rows and columns.
Australas. J Comb., 1999

1998
Correlation-Immune Functions over Finite Fields.
IEEE Trans. Inf. Theory, 1998

Distribution of irreducible polynomials of small degrees over finite fields.
Math. Comput., 1998

Nets and Sequences Obtained from Irreducible Polynomials Over Finite Fields.
Appl. Algebra Eng. Commun. Comput., 1998

1997
Irreducible Polynomials and Linear Recurring Arrays.
Discret. Appl. Math., 1997

Improved (T, M, S)-net Parameters from the Gilbert-Varshamov Bound.
Appl. Algebra Eng. Commun. Comput., 1997

1996
An Equivalence between (T, M, S)-Nets and Strongly Orthogonal Hypercubes.
J. Comb. Theory A, 1996

Almost weakly self-dual bases for finite fields.
Appl. Algebra Eng. Commun. Comput., 1996

1993
Enumeration formulas for latin and frequency squares.
Discret. Math., 1993

1992
Generalizations of Bose's Equivalence between Complete Sets of Mutually Orthogonal Latin Squares and Affine Planes.
J. Comb. Theory A, 1992

A Note on Discrete Logarithms in Finite Fields.
Appl. Algebra Eng. Commun. Comput., 1992

1991
Primitive Elements in Finite Fields and Costas Arrays.
Appl. Algebra Eng. Commun. Comput., 1991

1990
Another generalized Golomb-Posner code.
IEEE Trans. Inf. Theory, 1990

1989
Permutation polynomials and nonsingular feedback shift registers over finite fields.
IEEE Trans. Inf. Theory, 1989

1988
Partitions with "<i>d</i>(<i>a</i>) copies of <i>a</i>".
J. Comb. Theory A, 1988

Polynomial representation of complete sets of mutually orthogonal frequency squares of prime power order.
Discret. Math., 1988

A study of frequency cubes.
Discret. Math., 1988

1987
Optimal characteristic polynomials for digital multistep pseudorandom numbers.
Computing, 1987

1980
Latin cubes of order >=5.
Discret. Math., 1980


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