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Viewing Publication 1 - 56 from 56

2023

In Memory of Professor Zhexian WanXiang-dong Hou, Gary L. Mullen, Peter Shiue, Daqing Wan, Qiang Wang 0012. ffa, 92:102297, December 2023. [doi]

2019

Two extended Euler functions with applications to latin squares and bases of finite field extensionsGove Effinger, Gary L. Mullen. bullica, 85:92-111, 2019. [doi]

Sets of mutually orthogonal Sudoku frequency squaresJohn T. Ethier, Gary L. Mullen. dcc, 87(1):57-65, 2019. [doi]

2017

Near-complete external difference familiesJames A. Davis, Sophie Huczynska, Gary L. Mullen. dcc, 84(3):415-424, 2017. [doi]

Sudoku-like arrays, codes and orthogonalityMelissa Huggan, Gary L. Mullen, Brett Stevens, David Thomson. dcc, 82(3):675-693, 2017. [doi]

2016

Finite field constructions of combinatorial arraysLucia Moura, Gary L. Mullen, Daniel Panario. dcc, 78(1):197-219, 2016. [doi]

Fast and Simple Modular Interpolation Using Factorial RepresentationGary L. Mullen, Daniel Panario, David Thomson. tamm, 123(5):471-480, 2016. [doi]

2015

A second decade of "Finite Fields and Their Applications"Gary L. Mullen. ffa, 32:1-4, 2015. [doi]

2014

Index bounds for value sets of polynomials over finite fieldsGary L. Mullen, Daqing Wan, Qiang Wang. In Gerhard Larcher, Friedrich Pillichshammer, Arne Winterhof, Chaoping Xing, editors, Applied Algebra and Number Theory. pages 280-296, Cambridge University Press, 2014. [doi]

2013

Existence and properties of k-normal elements over finite fieldsSophie Huczynska, Gary L. Mullen, Daniel Panario, David Thomson. ffa, 24:170-183, 2013. [doi]

Several variablesRudolf Lidl, Gary L. Mullen. In Gary L. Mullen, Daniel Panario, editors, Handbook of Finite Fields. Discrete mathematics and its applications, pages 230-231, CRC Press, 2013.

Value sets of polynomialsGary L. Mullen, Michael E. Zieve. In Gary L. Mullen, Daniel Panario, editors, Handbook of Finite Fields. Discrete mathematics and its applications, pages 232-235, CRC Press, 2013.

Latin squaresGary L. Mullen. In Gary L. Mullen, Daniel Panario, editors, Handbook of Finite Fields. Discrete mathematics and its applications, pages 550-555, CRC Press, 2013.

Introduction to finite fields : Basic properties of finite fieldsGary L. Mullen, Daniel Panario. In Gary L. Mullen, Daniel Panario, editors, Handbook of Finite Fields. Discrete mathematics and its applications, pages 13-31, CRC Press, 2013.

Introduction to primitive polynomialsGary L. Mullen, Daniel Panario. In Gary L. Mullen, Daniel Panario, editors, Handbook of Finite Fields. Discrete mathematics and its applications, pages 87-89, CRC Press, 2013.

One variableGary L. Mullen, Qiang Wang 0012. In Gary L. Mullen, Daniel Panario, editors, Handbook of Finite Fields. Discrete mathematics and its applications, pages 215-229, CRC Press, 2013.

2012

Strong forms of orthogonality for sets of hypercubesJohn T. Ethier, Gary L. Mullen. DM, 312(12-13):2050-2061, 2012. [doi]

Sets of orthogonal hypercubes of class rJohn T. Ethier, Gary L. Mullen, Daniel Panario, Brett Stevens, David Thomson. JCT, 119(2):430-439, 2012. [doi]

Sums of Reciprocals of Polynomials over Finite FieldsKenneth Hicks, Xiang-dong Hou, Gary L. Mullen. tamm, 119(4):313-317, 2012. [doi]

2009

Reversed Dickson polynomials over finite fieldsXiang-dong Hou, Gary L. Mullen, James A. Sellers, Joseph L. Yucas. ffa, 15(6):748-773, 2009. [doi]

Number of irreducible polynomials and pairs of relatively prime polynomials in several variables over finite fieldsXiang-dong Hou, Gary L. Mullen. ffa, 15(3):304-331, 2009. [doi]

The extent to which subsets are additively closedSophie Huczynska, Gary L. Mullen, Joseph L. Yucas. JCT, 116(4):831-843, 2009. [doi]

2008

A Polynomial Analogue of the 3n + 1 ProblemKenneth Hicks, Gary L. Mullen, Joseph L. Yucas, Ryan Zavislak. tamm, 115(7):615-622, 2008. [doi]

2007

Finite Fields and ApplicationsGary L. Mullen, Carl Mummert. Volume 41 of Student mathematical library, American Mathematical Society, 2007. [doi]

2005

Check Character Systems using Quasigroups: IG. B. Belyavskaya, V. I. Izbash, Gary L. Mullen. dcc, 37(2):215-227, 2005. [doi]

Transpositions and RepresentabilityZhibo Chen, Gary L. Mullen. tamm, 112(10):913-919, 2005. [doi]

A decade of Finite Fields and Their ApplicationsGary L. Mullen. ffa, 11(3):321-325, 2005. [doi]

2004

2002

A Constructive Finite Field Method for Scattering Points on the Surface of d-Dimensional SpheresBéla Bajnok, Steven B. Damelin, Jenny X. Li, Gary L. Mullen. computing, 68(2):97-109, 2002. [doi]

Constructions for mutually orthogonal frequency hyperrectangles with a prescribed typeBo Cheng, Gary L. Mullen. DM, 242(1-3):55-64, 2002. [doi]

A hierarchy of complete orthogonal structuresCharles Laywine, Gary L. Mullen. arscom, 63, 2002.

2001

A Table of Lower Bounds for the Number of Mutually Orthogonal Frequency SquaresCharles Laywine, Gary L. Mullen. arscom, 59, 2001.

2000

Parallel computing of a quasi-Monte Carlo algorithm for valuing derivativesJenny X. Li, Gary L. Mullen. pc, 26(5):641-653, 2000.

1999

A note on BIB designs with nested rows and columnsJames Arthur MacDougall, Gary L. Mullen. ajc, 20:257-260, 1999. [doi]

1998

Distribution of irreducible polynomials of small degrees over finite fieldsKie H. Ham, Gary L. Mullen. moc, 67(221):337-341, 1998.

Nets and Sequences Obtained from Irreducible Polynomials Over Finite FieldsArnold Knopfmacher, J. N. Ridley, Gary L. Mullen. aaecc, 9(3):265-269, 1998. [doi]

Correlation-Immune Functions over Finite FieldsMulan Liu, Peizhong Lu, Gary L. Mullen. TIT, 44(3):1273-1276, 1998.

1997

Improved (T, M, S)-net Parameters from the Gilbert-Varshamov BoundAndrew T. Clayman, Gary L. Mullen. aaecc, 8(6):491-496, 1997. [doi]

Irreducible Polynomials and Linear Recurring ArraysMulan Liu, Gary L. Mullen. DAM, 74(1):93-99, 1997. [doi]

1996

Almost Weakly Self-Dual Bases for Finite FieldsIlene H. Morgan, Gary L. Mullen, Miodrag Zivkovic. aaecc, 8(1):25-31, 1996. [doi]

An Equivalence between (T, M, S)-Nets and Strongly Orthogonal HypercubesGary L. Mullen, Wolfgang Ch. Schmid. JCT, 76(1):164-174, 1996. [doi]

1993

Enumeration formulas for latin and frequency squaresJózsef Dénes, Gary L. Mullen. DM, 111(1-3):157-163, 1993. [doi]

1992

Generalizations of Bose s Equivalence between Complete Sets of Mutually Orthogonal Latin Squares and Affine PlanesCharles Laywine, Gary L. Mullen. JCT, 61(1):13-35, 1992.

A Note on Discrete Logarithms in Finite FieldsG. Meletiou, Gary L. Mullen. aaecc, 3:75-78, 1992.

1991

Primitive Elements in Finite Fields and Costas ArraysStephen D. Cohen, Gary L. Mullen. aaecc, 2:45-53, 1991.

Primitive Elements in Finite Fields and Costas ArraysStephen D. Cohen, Gary L. Mullen. aaecc, 2:297-299, 1991.

1990

Another generalized Golomb-Posner codeJózsef Dénes, Gary L. Mullen, Stephan J. Suchower. TIT, 36(2):408, 1990.

1989

Permutation polynomials and nonsingular feedback shift registers over finite fieldsGary L. Mullen. TIT, 35(4):900, 1989.

1988

Partitions with ::::d::::(::::a::::) copies of ::::a:::: Ashok K. Agarwal, Gary L. Mullen. JCT, 48(1):120-135, 1988. [doi]

A study of frequency cubesLarry J. Brant, Gary L. Mullen. DM, 69(2):115-121, 1988. [doi]

Polynomial representation of complete sets of mutually orthogonal frequency squares of prime power orderGary L. Mullen. DM, 69(1):79-84, 1988. [doi]

1987

Optimal characteristic polynomials for digital multistep pseudorandom numbersGary L. Mullen, Harald Niederreiter. computing, 39(2):155-163, 1987. [doi]

1980

Latin cubes of order >=5Gary L. Mullen, Robert E. Weber. DM, 32(3):291-297, 1980. [doi]

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