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Mullen, Gary L.

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Author ID: mullen.gary-l Recent zbMATH articles by "Mullen, Gary L."
Published as: Mullen, Gary L.; Mullen, G. L.; Mullen, Gary; Mullen, G.
Documents Indexed: 174 Publications since 1975, including 16 Books
Reviewing Activity: 142 Reviews
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Co-Authors

31 single-authored
9 Laywine, Charles F.
9 Panario, Daniel
8 Hicks, Kenneth H.
8 Niederreiter, Harald
7 Shiue, Peter Jau-Shyong
7 Yucas, Joseph L.
6 Dénes, József
6 Lidl, Rudolf
5 Chou, Wunseng
5 Effinger, Gove W.
5 Thomson, David George
4 Belyavskaya, Galina Borisovna
4 Brant, Larry J.
4 Brawley, Joel Vincent jun.
4 Castro, Francis Noel
4 Ethier, John T.
4 Hou, Xiang-Dong
4 Huczynska, Sophie
4 Rubio, Ivelisse M.
4 Sellers, James Allen
4 Shparlinski, Igor E.
4 Suchower, Stephan J.
3 Cohen, Stephen D.
3 Damelin, Steven Benjamin
3 Gomez-Calderon, Javier
3 Morgan, Ilene H.
3 Wan, Daqing
3 Wang, Qiang (Steven)
2 Agarwal, Ashok Kumar
2 Clayman, Andrew T.
2 Hansen, Tom
2 Izbash, Vladimir I.
2 Keedwell, Anthony Donald
2 Lawrence, K. Mark
2 Li, Jenny X.
2 Liu, Mulan
2 Mahalanabis, Arijit
2 Mullin, Ronald Cleveland
2 Schmid, Wolfgang Ch.
2 Shcherbacov, Victor A.
2 Stevens, Brett
2 Stichtenoth, Henning
2 Storme, Leo
2 Whittle, Geoffrey P.
1 André, Debra A.
1 Arce-Nazario, Rafael A.
1 Bajnok, Béla
1 Berndt, Bruce Carl
1 Caragiu, Mihai
1 Chen, Zhibo
1 Cheng, Bo
1 Colbourn, Charles J.
1 Córdova, Javier
1 Corrada, Carlos J.
1 Das, Pinaki
1 Davis, James Avery
1 Droz, Daniel R.
1 Gao, Shuhong
1 Ham, Kie H.
1 Hamilton, John Raymond
1 Hsu, Leetsch Charles
1 Huggan, Melissa A.
1 Hultquist, Robert A.
1 Janwa, Heeralal
1 Knopfmacher, Arnold
1 Kościelny, Czesław
1 Krattenthaler, Christian Friedrich
1 Kyureghyan, Gohar M.
1 Lavrauw, Michel
1 Lecuona, Ana G.
1 Lu, Peizhong
1 MacDougall, James A.
1 Martin, Robert J.
1 Martirosyan, Sosina S.
1 Mavron, Vassili C.
1 McDonough, Thomas P.
1 McGuire, Gary
1 Meletiou, Gerasimos C.
1 Moree, Pieter
1 Moura, Lucia
1 Mummert, Carl
1 Muratović-Ribić, Amela
1 Nikova, Svetla Jordanova
1 Poli, Alain
1 Pott, Alexander
1 Purdy, David
1 Ramachandra, Kanakanahalli
1 Ridley, James N.
1 Sato, Ikura
1 Shasha, Dennis E.
1 Sherwood, George B.
1 Sills, Andrew V.
1 Sloane, Neil James Alexander
1 Stevens, Harlan R.
1 Sun, Qi
1 Tapia-Recillas, Horacio
1 Turnwald, Gerhard
1 Vanpoucke, Jordy
1 Vaughan, Theresa P.
1 Vioreanu, Bogdan G.
...and 5 more Co-Authors
all top 5

Serials

11 Acta Arithmetica
8 Discrete Mathematics
7 American Mathematical Monthly
7 Designs, Codes and Cryptography
6 Contemporary Mathematics
5 Mathematics of Computation
5 Ars Combinatoria
5 Journal of Combinatorial Theory. Series A
5 Utilitas Mathematica
5 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
5 Finite Fields and their Applications
4 Journal of Number Theory
4 Monatshefte für Mathematik
4 Linear Algebra and its Applications
4 Applicable Algebra in Engineering, Communication and Computing
4 Bulletin of the Institute of Combinatorics and its Applications
4 Journal of Combinatorial Designs
4 Quasigroups and Related Systems
3 IEEE Transactions on Information Theory
3 The Mathematical Intelligencer
3 The Fibonacci Quarterly
3 International Journal of Mathematics and Mathematical Sciences
2 Computing
2 Journal of Combinatorics, Information & System Sciences
2 Proceedings of the American Mathematical Society
2 Proceedings of the Edinburgh Mathematical Society. Series II
2 Textbooks in Mathematics
1 Computers & Mathematics with Applications
1 Discrete Applied Mathematics
1 Mathematics Magazine
1 Bulletin of the Calcutta Mathematical Society
1 Canadian Mathematical Bulletin
1 Commentationes Mathematicae Universitatis Carolinae
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Journal of Geometry
1 Journal of Statistical Planning and Inference
1 Mathematical Journal of Okayama University
1 Mathematica Japonica
1 Publicationes Mathematicae
1 Southeast Asian Bulletin of Mathematics
1 Acta Mathematica Hungarica
1 Advances in Mathematics
1 Parallel Computing
1 Mathematical and Computer Modelling
1 PU.M.A. Pure Mathematics and Applications. Ser. A
1 Journal of the Australian Mathematical Society. Series A
1 The Australasian Journal of Combinatorics
1 Congressus Numerantium
1 The Electronic Journal of Combinatorics
1 Buletinul Academiei de Științe a Republicii Moldova. Matematica
1 Taiwanese Journal of Mathematics
1 International Journal of Applied Mathematics and Computer Science
1 The Quarterly Journal of Mathematics
1 Algebra and Discrete Mathematics
1 Lecture Notes in Computer Science
1 Lecture Notes in Pure and Applied Mathematics
1 Student Mathematical Library
1 Trends in Mathematics
1 Discrete Mathematics and its Applications

Publications by Year

Citations contained in zbMATH Open

121 Publications have been cited 1,029 times in 751 Documents Cited by Year
Handbook of finite fields. Zbl 1319.11001
Mullen, Gary L. (ed.); Panario, Daniel (ed.)
140
2013
Dickson polynomials. Zbl 0823.11070
Lidl, R.; Mullen, G. L.; Turnwald, G.
92
1993
Discrete mathematics using Latin squares. Zbl 0957.05002
Laywine, Charles F.; Mullen, Gary L.
67
1998
When does a polynomial over a finite field permute the elements of the field? Zbl 0653.12010
Lidl, Rudolf; Mullen, Gary L.
51
1988
Permutation polynomials over finite fields. Zbl 0808.11069
Mullen, Gary L.
41
1993
Primitive polynomials over finite fields. Zbl 0770.11053
Hansen, Tom; Mullen, Gary L.
34
1992
When does a polynomial over a finite field permute the elements of the field? II. Zbl 0777.11054
Lidl, Rudolf; Mullen, Gary L.
34
1993
Reversed Dickson polynomials over finite fields. Zbl 1228.11174
Hou, Xiang-Dong; Mullen, Gary L.; Sellers, James A.; Yucas, Joseph L.
32
2009
Products of mixed covering arrays of strength two. Zbl 1134.05306
Colbourn, Charles J.; Martirosyan, Sosina S.; Mullen, Gary L.; Shasha, Dennis; Sherwood, George B.; Yucas, Joseph L.
32
2006
Dickson polynomials over finite fields and complete mappings. Zbl 0576.12020
Mullen, Gary L.; Niederreiter, Harald
21
1987
Value sets of Dickson polynomials over finite fields. Zbl 0689.12012
Chou, Wun-Seng; Gomez-Calderon, Javier; Mullen, Gary L.
17
1988
Distribution of irreducible polynomials of small degrees over finite fields. Zbl 0917.11060
Ham, Kie H.; Mullen, Gary L.
16
1998
Self-reciprocal irreducible polynomials over finite fields. Zbl 1146.11336
Yucas, Joseph L.; Mullen, Gary L.
15
2004
Polynomial functions (mod m). Zbl 0563.12017
Mullen, G.; Stevens, H.
15
1984
Irreducible polynomials over GF(2) with prescribed coefficients. Zbl 1039.11090
Yucas, Joseph L.; Mullen, Gary L.
15
2004
Polynomial representation of complete sets of mutually orthogonal frequency squares of prime power order. Zbl 0638.05010
Mullen, Gary L.
15
1988
Existence and properties of \(k\)-normal elements over finite fields. Zbl 1305.11108
Huczynska, Sophie; Mullen, Gary L.; Panario, Daniel; Thomson, David
15
2013
A polynomial representation for logarithms in \(GF(q)\). Zbl 0562.12018
Mullen, Gary L.; White, David
13
1986
An equivalence between \((T,M,S)\)-nets and strongly orthogonal hypercubes. Zbl 0860.05012
Mullen, Gary L.; Schmid, Wolfgang Ch.
13
1996
Point sets with uniformity properties and orthogonal hypercubes. Zbl 0765.11032
Mullen, G. L.; Whittle, G.
12
1992
Cycle structure of Dickson permutation polynomials. Zbl 0759.11044
Lidl, Rudolf; Mullen, Gary L.
11
1991
Frequency permutation arrays. Zbl 1110.05016
Huczynska, Sophie; Mullen, Gary L.
10
2006
Number of irreducible polynomials and pairs of relatively prime polynomials in several variables over finite fields. Zbl 1190.11063
Hou, Xiang-Dong; Mullen, Gary L.
10
2009
Primitive normal polynomials over finite fields. Zbl 0805.11083
Morgan, Ilene H.; Mullen, Gary L.
10
1994
Generalizations of Bose’s equivalence between complete sets of mutually orthogonal Latin squares and affine planes. Zbl 0760.05011
Laywine, Charles F.; Mullen, Gary L.
9
1992
Value sets of polynomial maps over finite fields. Zbl 1372.11109
Mullen, Gary L.; Wan, Daqing; Wang, Qiang
8
2013
Cycles of linear permutations over a finite field. Zbl 0699.12030
Mullen, Gary L.; Vaughan, Theresa P.
8
1988
\(d\)-dimensional hypercubes and the Euler and MacNeish conjectures. Zbl 0817.05017
Laywine, Charles F.; Mullen, Gary L.; Whittle, Geoff
8
1995
Primitive elements in finite fields and Costas arrays. Zbl 0744.11061
Cohen, Stephen D.; Mullen, Gary L.
7
1991
Correlation-immune functions over finite fields. Zbl 0921.94008
Liu, Mulan; Lu, Peizhong; Mullen, Gary L.
7
1998
Good parameters for a class of node sets in quasi-Monte Carlo integration. Zbl 0792.11025
Hansen, Tom; Mullen, Gary L.; Niederreiter, Harald
7
1993
Strong forms of orthogonality for sets of hypercubes. Zbl 1243.05049
Ethier, John T.; Mullen, Gary L.
6
2012
Figures of merit for digital multistep pseudorandom numbers. Zbl 0699.65003
André, Debra A.; Mullen, Gary L.; Niederreiter, Harald
6
1990
A note on discrete logarithms in finite fields. Zbl 0749.11055
Meletiou, G.; Mullen, Gary L.
6
1992
Sums of reciprocals of polynomials over finite fields. Zbl 1266.11129
Hicks, Kenneth; Hou, Xiang-Dong; Mullen, Gary L.
5
2012
Latin cubes and hypercubes of prime order. Zbl 0566.05013
Laywine, Charles; Mullen, Gary L.
5
1985
Open problems and conjectures in finite fields. Zbl 0867.11085
Mullen, Gary L.; Shparlinski, Igor
5
1996
Updated tables of parameters of \((t,m,s)\)-nets. Zbl 0929.05011
Clayman, Andrew T.; Lawrence, K. Mark; Mullen, Gary L.; Niederreiter, Harald; Sloane, N. J. A.
5
1999
Functions and polynomials over Galois rings. Zbl 0759.11043
Brawley, Joel V.; Mullen, Gary L.
5
1992
Permutation polynomials: A matrix analogue of Schur’s conjecture and a survey of recent results. Zbl 0828.11070
Mullen, Gary L.
5
1995
A candidate for the “Next Fermat Problem”. Zbl 0845.05020
Mullen, Gary L.
5
1995
Completely normal primitive basis generators of finite fields. Zbl 0856.11056
Morgan, Ilene H.; Mullen, Gary L.
5
1996
Dickson polynomial discriminators. Zbl 0858.11057
Moree, Pieter; Mullen, Gary L.
5
1996
Values of linear recurring sequences of vectors over finite fields. Zbl 0789.11013
Mullen, Gary L.; Shparlinski, Igor
5
1993
Optimal characteristic polynomials for digital multistep pseudorandom numbers. Zbl 0618.65004
Mullen, G. L.; Niederreiter, H.
5
1987
A generalized counting and factoring method for polynomials over finite fields. Zbl 1211.11135
Mullin, Ronald C.; Yucas, Joseph L.; Mullen, Gary L.
5
2010
Finite fields and applications. Zbl 1128.11001
Mullen, Gary L.; Mummert, Carl
5
2007
A table of lower bounds for the number of mutually orthogonal frequency squares. Zbl 1066.05038
Laywine, Charles F.; Mullen, Gary L.
4
2001
Orthogonal hypercubes and \(n\)-ary operations. Zbl 1101.20049
Belyavskaya, Galina B.; Mullen, Gary L.
4
2005
The number of permutation polynomials of the form \(f(x)+cx\) over a finite field. Zbl 0827.11076
Wan, Daqing; Mullen, Gary L.; Shiue, Peter Jau-Shyong
4
1995
Tables of \((t,m,s)\)-net and \((t,s)\)-sequence parameters. Zbl 0838.65004
Mullen, Gary L.; Mahalanabis, Arijit; Niederreiter, Harald
4
1995
Parallel computing of a quasi-Monte Carlo algorithm for valuing derivatives. Zbl 0939.91054
Li, J. X.; Mullen, G. L.
4
2000
Dickson polynomials and irreducible polynomials over finite fields. Zbl 0810.11070
Gao, Shuhong; Mullen, Gary L.
4
1994
A note on power sets of latin squares. Zbl 0819.05017
Dénes, József; Mullen, Gary L.; Suchower, Stephan J.
4
1994
A constructive finite field method for scattering points on the surface of \(d\)-dimensional spheres. Zbl 1050.11068
Bajnok, B.; Damelin, S. B.; Li, Jenny X.; Mullen, G. L.
4
2002
Value sets of polynomials over finite fields. Zbl 1031.11072
Das, Pinaki; Mullen, Gary L.
4
2002
Twin irreducible polynomials over finite fields. Zbl 1037.11081
Effinger, Gove W.; Hicks, Kenneth H.; Mullen, Gary L.
4
2002
Some results on enumeration and isotopic classification of frequency squares. Zbl 0592.05015
Brant, Larry J.; Mullen, Gary L.
4
1986
Generating linear spans over finite fields. Zbl 0728.11066
Chou, Wun-Seng; Mullen, Gary L.
4
1992
Strong forms of orthogonality for sets of frequency hypercubes. Zbl 1301.05045
Ethier, John T.; Mullen, Gary L.
4
2013
Near-complete external difference families. Zbl 1391.94949
Davis, James A.; Huczynska, Sophie; Mullen, Gary L.
4
2017
On the number of solutions of equations of Dickson polynomials over finite fields. Zbl 1154.11044
Chou, Wun-Seng; Mullen, Gary L.; Wassermann, Bertram
3
2008
Pairs of primitive elements modulo \(p^ l\). Zbl 0701.11073
Chou, Wun-Seng; Mullen, Gary L.; Shiue, Jau-Shyong; Sun, Qi
3
1989
Latin cubes of order //omega5. Zbl 0466.05015
Mullen, Gary L.; Weber, Robert E.
3
1980
Sets of orthogonal hypercubes of class \(r\). Zbl 1232.05034
Ethier, John T.; Mullen, Gary L.; Panario, Daniel; Stevens, Brett; Thomson, David
3
2012
Construction of digital \((t, m, s)\)-nets from linear codes. Zbl 0869.11060
Lawrence, K. Mark; Mahalanabis, Arijit; Mullen, Gary L.; Schmid, Wolfgang Ch.
3
1996
The structure of a group of permutation polynomials. Zbl 0563.20007
Mullen, Gary L.; Niederreiter, Harald
3
1985
Orthogonal hypercubes and related designs. Zbl 0935.62089
Mullen, Gary L.
3
1998
Dickson-Stirling numbers. Zbl 0891.11009
Hsu, L. C.; Mullen, Gary L.; Shiue, Peter Jau-Shyong
3
1997
Combinatorial methods in the construction of point sets with uniformity properties. Zbl 0854.11039
Mullen, G. L.
3
1996
A quasigroup-based public-key cryptosystem. Zbl 0954.94014
Kościelny, Czesław; Mullen, Gary L.
3
1999
Bijections and congruences for generalizations of partition identities of Euler and Guy. Zbl 1058.05006
Sellers, James A.; Sills, Andrew V.; Mullen, Gary L.
3
2004
The number of linearly independent binary vectors with applications to the construction of hypercubes and orthogonal arrays, pseudo \((t,m,s)\)-nets and linear codes. Zbl 1112.05017
Damelin, S. B.; Michalski, G.; Mullen, G. L.; Stone, D.
3
2004
Integers and polynomials: comparing the close cousins \(\mathbb Z\) and \(\mathbb F_q[x]\). Zbl 1189.11055
Effinger, Gove; Hicks, Kenneth; Mullen, Gary L.
3
2005
Some open problems arising from my recent finite field research. Zbl 1365.11130
Mullen, Gary L.
3
2016
The extent to which subsets are additively closed. Zbl 1208.11034
Huczynska, Sophie; Mullen, Gary L.; Yucas, Joseph L.
2
2009
\(n\)-T-quasigroup codes with one check symbol and their error detection capabilities. Zbl 1099.94036
Mullen, Gary L.; Shcherbacov, Victor
2
2004
Finite field constructions of combinatorial arrays. Zbl 1332.05026
Moura, Lucia; Mullen, Gary L.; Panario, Daniel
2
2016
Polynomials over finite fields which commute with linear permutations. Zbl 0498.12018
Mullen, Gary L.
2
1982
Open problems in finite fields. Zbl 0897.05080
Mullen, Gary L.
2
1995
Dickson permutation polynomials that decompose in cycles of the same length. Zbl 1236.11106
Rubio, Ivelisse M.; Mullen, Gary L.; Corrada, Carlos; Castro, Francis N.
2
2008
Galois rings and algebraic cryptography. Zbl 0744.11063
Gomez-Calderon, Javier; Mullen, Gary L.
2
1991
Infinite Latin squares containing nested sets of mutually orthogonal finite Latin squares. Zbl 0751.05013
Brawley, J. V.; Mullen, Gary L.
2
1991
Reducing multinomial coefficients modulo a prime power. Zbl 0538.10002
Martin, Robert J.; Mullen, Gary L.
2
1984
The difference between permutation polynomials over finite fields. Zbl 0827.11074
Cohen, Stephen D.; Mullen, Gary L.; Shiue, Peter Jau-Shyong
2
1995
Frequency hyperrectangles, error correcting codes and fractional replication plans. Zbl 0863.94022
Mullen, Gary L.; Suchower, Stephan J.
2
1993
Enumeration formulas for latin and frequency squares. Zbl 0789.05007
Dénes, József; Mullen, Gary L.
2
1993
Partitions with “d(a) copies of a”. Zbl 0653.05005
Agarwal, Ashok K.; Mullen, Gary L.
2
1988
Association schemes and derived PBIB designs of prime power order. Zbl 0656.05020
Hultquist, R. A.; Mullen, G. L.; Niederreiter, H.
2
1988
Check character systems using quasigroups. I. Zbl 1102.94031
Belyavskaya, G. B.; Izbash, V. I.; Mullen, G. L.
2
2005
Equivalence classes of functions over a finite field. Zbl 0288.12012
Mullen, Gary L.
2
1976
Weak equivalence of functions over a finite field. Zbl 0344.12009
Mullen, Gary L.
2
1979
A polynomial analogue of the \(3n+1\) problem. Zbl 1196.11047
Hicks, Kenneth; Mullen, Gary L.; Yucas, Joseph L.; Zavislak, Ryan
1
2008
Finite fields. Theory and applications. Proceedings of the 9th international conference on finite fields and applications, Dublin, Ireland, July 13–17, 2009. Zbl 1193.11003
McGuire, Gary (ed.); Mullen, Gary L. (ed.); Panario, Daniel (ed.); Shparlinski, Igor E. (ed.)
1
2010
Explicit formulas for permutation polynomials over finite fields. Zbl 1228.11175
Mullen, Gary L.; Vioreanu, Bogdan G.
1
2009
On the dimension of the space of magic squares over a field. Zbl 1262.05014
Hou, Xiang-Dong; Lecuona, Ana G.; Mullen, Gary L.; Sellers, James A.
1
2013
Subfield value sets of polynomials over finite fields. Zbl 1300.11124
Chou, Wun-Seng; Gomez-Calderon, Javier; Mullen, Gary L.; Panario, Daniel; Thomson, David
1
2013
Sets of partially orthogonal Latin squares and projective planes. Zbl 1056.05026
Keedwell, A. D.; Mullen, G. L.
1
2004
Local permutation polynomials over \(\mathbb{Z}\). Zbl 0427.12017
Mullen, Gary L.
1
1980
How many i-j reduced latin rectangles are there? Zbl 0435.05011
Hamilton, John R.; Mullen, Gary L.
1
1980
The number of different reduced complete sets of MOLS corresponding to \(\mathrm{PG} (2,q)\). Zbl 1391.05063
Hicks, K. H.; Mullen, G. L.; Storme, L.; Vanpoucke, J.
1
2018
Near-complete external difference families. Zbl 1391.94949
Davis, James A.; Huczynska, Sophie; Mullen, Gary L.
4
2017
Some open problems arising from my recent finite field research. Zbl 1365.11130
Mullen, Gary L.
3
2016
Finite field constructions of combinatorial arrays. Zbl 1332.05026
Moura, Lucia; Mullen, Gary L.; Panario, Daniel
2
2016
Index bounds for value sets of polynomials over finite fields. Zbl 1350.11107
Mullen, Gary L.; Wan, Daqing; Wang, Qiang
1
2014
Handbook of finite fields. Zbl 1319.11001
Mullen, Gary L.; Panario, Daniel
140
2013
Existence and properties of \(k\)-normal elements over finite fields. Zbl 1305.11108
Huczynska, Sophie; Mullen, Gary L.; Panario, Daniel; Thomson, David
15
2013
Value sets of polynomial maps over finite fields. Zbl 1372.11109
Mullen, Gary L.; Wan, Daqing; Wang, Qiang
8
2013
Strong forms of orthogonality for sets of frequency hypercubes. Zbl 1301.05045
Ethier, John T.; Mullen, Gary L.
4
2013
On the dimension of the space of magic squares over a field. Zbl 1262.05014
Hou, Xiang-Dong; Lecuona, Ana G.; Mullen, Gary L.; Sellers, James A.
1
2013
Subfield value sets of polynomials over finite fields. Zbl 1300.11124
Chou, Wun-Seng; Gomez-Calderon, Javier; Mullen, Gary L.; Panario, Daniel; Thomson, David
1
2013
Strong forms of orthogonality for sets of hypercubes. Zbl 1243.05049
Ethier, John T.; Mullen, Gary L.
6
2012
Sums of reciprocals of polynomials over finite fields. Zbl 1266.11129
Hicks, Kenneth; Hou, Xiang-Dong; Mullen, Gary L.
5
2012
Sets of orthogonal hypercubes of class \(r\). Zbl 1232.05034
Ethier, John T.; Mullen, Gary L.; Panario, Daniel; Stevens, Brett; Thomson, David
3
2012
A generalized counting and factoring method for polynomials over finite fields. Zbl 1211.11135
Mullin, Ronald C.; Yucas, Joseph L.; Mullen, Gary L.
5
2010
Finite fields. Theory and applications. Proceedings of the 9th international conference on finite fields and applications, Dublin, Ireland, July 13–17, 2009. Zbl 1193.11003
McGuire, Gary; Mullen, Gary L.; Panario, Daniel; Shparlinski, Igor E.
1
2010
Reversed Dickson polynomials over finite fields. Zbl 1228.11174
Hou, Xiang-Dong; Mullen, Gary L.; Sellers, James A.; Yucas, Joseph L.
32
2009
Number of irreducible polynomials and pairs of relatively prime polynomials in several variables over finite fields. Zbl 1190.11063
Hou, Xiang-Dong; Mullen, Gary L.
10
2009
The extent to which subsets are additively closed. Zbl 1208.11034
Huczynska, Sophie; Mullen, Gary L.; Yucas, Joseph L.
2
2009
Explicit formulas for permutation polynomials over finite fields. Zbl 1228.11175
Mullen, Gary L.; Vioreanu, Bogdan G.
1
2009
On the number of solutions of equations of Dickson polynomials over finite fields. Zbl 1154.11044
Chou, Wun-Seng; Mullen, Gary L.; Wassermann, Bertram
3
2008
Dickson permutation polynomials that decompose in cycles of the same length. Zbl 1236.11106
Rubio, Ivelisse M.; Mullen, Gary L.; Corrada, Carlos; Castro, Francis N.
2
2008
A polynomial analogue of the \(3n+1\) problem. Zbl 1196.11047
Hicks, Kenneth; Mullen, Gary L.; Yucas, Joseph L.; Zavislak, Ryan
1
2008
Finite fields and applications. Zbl 1128.11001
Mullen, Gary L.; Mummert, Carl
5
2007
The cardinality of sets of \(k\)-independent vectors over finite fields. Zbl 1126.05022
Damelin, S. B.; Michalski, G.; Mullen, Gary L.
1
2007
The geometry of sets of orthogonal frequency hypercubes. Zbl 1128.05010
Mavron, V. C.; McDonough, T. P.; Mullen, Gary L.
1
2007
Products of mixed covering arrays of strength two. Zbl 1134.05306
Colbourn, Charles J.; Martirosyan, Sosina S.; Mullen, Gary L.; Shasha, Dennis; Sherwood, George B.; Yucas, Joseph L.
32
2006
Frequency permutation arrays. Zbl 1110.05016
Huczynska, Sophie; Mullen, Gary L.
10
2006
Orthogonal hypercubes and \(n\)-ary operations. Zbl 1101.20049
Belyavskaya, Galina B.; Mullen, Gary L.
4
2005
Integers and polynomials: comparing the close cousins \(\mathbb Z\) and \(\mathbb F_q[x]\). Zbl 1189.11055
Effinger, Gove; Hicks, Kenneth; Mullen, Gary L.
3
2005
Check character systems using quasigroups. I. Zbl 1102.94031
Belyavskaya, G. B.; Izbash, V. I.; Mullen, G. L.
2
2005
Check character systems using quasigroups. II. Zbl 1138.94394
Belyavskaya, G. B.; Izbash, V. I.; Mullen, G. L.
1
2005
Transpositions and representability. Zbl 1149.11304
Chen, Zhibo; Mullen, Gary L.
1
2005
Self-reciprocal irreducible polynomials over finite fields. Zbl 1146.11336
Yucas, Joseph L.; Mullen, Gary L.
15
2004
Irreducible polynomials over GF(2) with prescribed coefficients. Zbl 1039.11090
Yucas, Joseph L.; Mullen, Gary L.
15
2004
Bijections and congruences for generalizations of partition identities of Euler and Guy. Zbl 1058.05006
Sellers, James A.; Sills, Andrew V.; Mullen, Gary L.
3
2004
The number of linearly independent binary vectors with applications to the construction of hypercubes and orthogonal arrays, pseudo \((t,m,s)\)-nets and linear codes. Zbl 1112.05017
Damelin, S. B.; Michalski, G.; Mullen, G. L.; Stone, D.
3
2004
\(n\)-T-quasigroup codes with one check symbol and their error detection capabilities. Zbl 1099.94036
Mullen, Gary L.; Shcherbacov, Victor
2
2004
Sets of partially orthogonal Latin squares and projective planes. Zbl 1056.05026
Keedwell, A. D.; Mullen, G. L.
1
2004
A constructive finite field method for scattering points on the surface of \(d\)-dimensional spheres. Zbl 1050.11068
Bajnok, B.; Damelin, S. B.; Li, Jenny X.; Mullen, G. L.
4
2002
Value sets of polynomials over finite fields. Zbl 1031.11072
Das, Pinaki; Mullen, Gary L.
4
2002
Twin irreducible polynomials over finite fields. Zbl 1037.11081
Effinger, Gove W.; Hicks, Kenneth H.; Mullen, Gary L.
4
2002
A hierarchy of complete orthogonal structures. Zbl 1071.05017
Laywine, Charles F.; Mullen, Gary L.
1
2002
Distribution of irreducible polynomials over \(\mathbb{F}_2\). Zbl 1037.11082
Hicks, Kenneth H.; Mullen, Gary L.; Sato, Ikura
1
2002
Properties of codes with one check symbol from a quasigroup point of view. Zbl 1065.94021
Mullen, Gary L.; Shcherbacov, Victor
1
2002
A table of lower bounds for the number of mutually orthogonal frequency squares. Zbl 1066.05038
Laywine, Charles F.; Mullen, Gary L.
4
2001
Parallel computing of a quasi-Monte Carlo algorithm for valuing derivatives. Zbl 0939.91054
Li, J. X.; Mullen, G. L.
4
2000
Updated tables of parameters of \((t,m,s)\)-nets. Zbl 0929.05011
Clayman, Andrew T.; Lawrence, K. Mark; Mullen, Gary L.; Niederreiter, Harald; Sloane, N. J. A.
5
1999
A quasigroup-based public-key cryptosystem. Zbl 0954.94014
Kościelny, Czesław; Mullen, Gary L.
3
1999
Discrete mathematics using Latin squares. Zbl 0957.05002
Laywine, Charles F.; Mullen, Gary L.
67
1998
Distribution of irreducible polynomials of small degrees over finite fields. Zbl 0917.11060
Ham, Kie H.; Mullen, Gary L.
16
1998
Correlation-immune functions over finite fields. Zbl 0921.94008
Liu, Mulan; Lu, Peizhong; Mullen, Gary L.
7
1998
Orthogonal hypercubes and related designs. Zbl 0935.62089
Mullen, Gary L.
3
1998
Nets and sequences obtained from irreducible polynomials over finite fields. Zbl 0932.11075
Knopfmacher, A.; Ridley, J. N.; Mullen, G. L.
1
1998
Dickson-Stirling numbers. Zbl 0891.11009
Hsu, L. C.; Mullen, Gary L.; Shiue, Peter Jau-Shyong
3
1997
Improved \((t,m,s)\)-net parameters from the Gilbert-Varshamov bound. Zbl 0920.11054
Clayman, Andrew T.; Mullen, Gary L.
1
1997
An equivalence between \((T,M,S)\)-nets and strongly orthogonal hypercubes. Zbl 0860.05012
Mullen, Gary L.; Schmid, Wolfgang Ch.
13
1996
Open problems and conjectures in finite fields. Zbl 0867.11085
Mullen, Gary L.; Shparlinski, Igor
5
1996
Completely normal primitive basis generators of finite fields. Zbl 0856.11056
Morgan, Ilene H.; Mullen, Gary L.
5
1996
Dickson polynomial discriminators. Zbl 0858.11057
Moree, Pieter; Mullen, Gary L.
5
1996
Construction of digital \((t, m, s)\)-nets from linear codes. Zbl 0869.11060
Lawrence, K. Mark; Mahalanabis, Arijit; Mullen, Gary L.; Schmid, Wolfgang Ch.
3
1996
Combinatorial methods in the construction of point sets with uniformity properties. Zbl 0854.11039
Mullen, G. L.
3
1996
\(d\)-dimensional hypercubes and the Euler and MacNeish conjectures. Zbl 0817.05017
Laywine, Charles F.; Mullen, Gary L.; Whittle, Geoff
8
1995
Permutation polynomials: A matrix analogue of Schur’s conjecture and a survey of recent results. Zbl 0828.11070
Mullen, Gary L.
5
1995
A candidate for the “Next Fermat Problem”. Zbl 0845.05020
Mullen, Gary L.
5
1995
The number of permutation polynomials of the form \(f(x)+cx\) over a finite field. Zbl 0827.11076
Wan, Daqing; Mullen, Gary L.; Shiue, Peter Jau-Shyong
4
1995
Tables of \((t,m,s)\)-net and \((t,s)\)-sequence parameters. Zbl 0838.65004
Mullen, Gary L.; Mahalanabis, Arijit; Niederreiter, Harald
4
1995
Open problems in finite fields. Zbl 0897.05080
Mullen, Gary L.
2
1995
The difference between permutation polynomials over finite fields. Zbl 0827.11074
Cohen, Stephen D.; Mullen, Gary L.; Shiue, Peter Jau-Shyong
2
1995
Primitive normal polynomials over finite fields. Zbl 0805.11083
Morgan, Ilene H.; Mullen, Gary L.
10
1994
Dickson polynomials and irreducible polynomials over finite fields. Zbl 0810.11070
Gao, Shuhong; Mullen, Gary L.
4
1994
A note on power sets of latin squares. Zbl 0819.05017
Dénes, József; Mullen, Gary L.; Suchower, Stephan J.
4
1994
Dickson polynomials. Zbl 0823.11070
Lidl, R.; Mullen, G. L.; Turnwald, G.
92
1993
Permutation polynomials over finite fields. Zbl 0808.11069
Mullen, Gary L.
41
1993
When does a polynomial over a finite field permute the elements of the field? II. Zbl 0777.11054
Lidl, Rudolf; Mullen, Gary L.
34
1993
Good parameters for a class of node sets in quasi-Monte Carlo integration. Zbl 0792.11025
Hansen, Tom; Mullen, Gary L.; Niederreiter, Harald
7
1993
Values of linear recurring sequences of vectors over finite fields. Zbl 0789.11013
Mullen, Gary L.; Shparlinski, Igor
5
1993
Frequency hyperrectangles, error correcting codes and fractional replication plans. Zbl 0863.94022
Mullen, Gary L.; Suchower, Stephan J.
2
1993
Enumeration formulas for latin and frequency squares. Zbl 0789.05007
Dénes, József; Mullen, Gary L.
2
1993
Primitive polynomials over finite fields. Zbl 0770.11053
Hansen, Tom; Mullen, Gary L.
34
1992
Point sets with uniformity properties and orthogonal hypercubes. Zbl 0765.11032
Mullen, G. L.; Whittle, G.
12
1992
Generalizations of Bose’s equivalence between complete sets of mutually orthogonal Latin squares and affine planes. Zbl 0760.05011
Laywine, Charles F.; Mullen, Gary L.
9
1992
A note on discrete logarithms in finite fields. Zbl 0749.11055
Meletiou, G.; Mullen, Gary L.
6
1992
Functions and polynomials over Galois rings. Zbl 0759.11043
Brawley, Joel V.; Mullen, Gary L.
5
1992
Generating linear spans over finite fields. Zbl 0728.11066
Chou, Wun-Seng; Mullen, Gary L.
4
1992
Cycle structure of Dickson permutation polynomials. Zbl 0759.11044
Lidl, Rudolf; Mullen, Gary L.
11
1991
Primitive elements in finite fields and Costas arrays. Zbl 0744.11061
Cohen, Stephen D.; Mullen, Gary L.
7
1991
Galois rings and algebraic cryptography. Zbl 0744.11063
Gomez-Calderon, Javier; Mullen, Gary L.
2
1991
Infinite Latin squares containing nested sets of mutually orthogonal finite Latin squares. Zbl 0751.05013
Brawley, J. V.; Mullen, Gary L.
2
1991
Dickson polynomials over finite fields. Zbl 0739.11057
Mullen, Gary L.
1
1991
A simple construction for orthogonal Latin rectangles. Zbl 0751.05015
Mullen, Gary L.; Shiue, Jau-Shyong
1
1991
Figures of merit for digital multistep pseudorandom numbers. Zbl 0699.65003
André, Debra A.; Mullen, Gary L.; Niederreiter, Harald
6
1990
Another generalized Golomb-Posner code. Zbl 0704.94014
Dénes, József; Mullen, Gary L.; Suchower, Stephan J.
1
1990
Mutually orthogonal frequency squares with non-constant frequency vectors. Zbl 0706.05015
Laywine, Charles F.; Mullen, Gary L.
1
1990
Pairs of primitive elements modulo \(p^ l\). Zbl 0701.11073
Chou, Wun-Seng; Mullen, Gary L.; Shiue, Jau-Shyong; Sun, Qi
3
1989
When does a polynomial over a finite field permute the elements of the field? Zbl 0653.12010
Lidl, Rudolf; Mullen, Gary L.
51
1988
Value sets of Dickson polynomials over finite fields. Zbl 0689.12012
Chou, Wun-Seng; Gomez-Calderon, Javier; Mullen, Gary L.
17
1988
Polynomial representation of complete sets of mutually orthogonal frequency squares of prime power order. Zbl 0638.05010
Mullen, Gary L.
15
1988
Cycles of linear permutations over a finite field. Zbl 0699.12030
Mullen, Gary L.; Vaughan, Theresa P.
8
1988
Partitions with “d(a) copies of a”. Zbl 0653.05005
Agarwal, Ashok K.; Mullen, Gary L.
2
1988
...and 21 more Documents
all top 5

Cited by 857 Authors

42 Mullen, Gary L.
20 Panario, Daniel
19 Wang, Qiang (Steven)
16 Hu, Lei
14 Hou, Xiang-Dong
14 Niederreiter, Harald
13 Colbourn, Charles J.
13 Zha, Zhengbang
12 Reis, Lucas
12 Zeng, Xiangyong
11 Cohen, Stephen D.
11 Winterhof, Arne
10 Kapetanakis, Giorgos
10 Yin, Jianxing
9 Cao, Xiwang
9 Ding, Cunsheng
9 Fan, Shuqin
9 Mourtos, Ioannis
9 Yuan, Pingzhi
8 Coulter, Robert S.
8 Topuzoǧlu, Alev
8 Wan, Daqing
7 Appa, Gautam M.
7 Bartoli, Daniele
7 Garefalakis, Theodoulos
7 Qu, Longjiang
7 Wu, Baofeng
6 Chou, Wunseng
6 Fitzgerald, Robert W.
6 Gomez-Calderon, Javier
6 Han, Wenbao
6 Helleseth, Tor
6 Huczynska, Sophie
6 Mesnager, Sihem
6 Muratović-Ribić, Amela
6 Shi, Ce
6 Stevens, Brett
6 Thomson, David George
6 von zur Gathen, Joachim
6 Wanless, Ian M.
6 Yucas, Joseph L.
6 Zheng, Yanbin
5 Carlet, Claude
5 Laywine, Charles F.
5 Meletiou, Gerasimos C.
5 Morgan, Ilene H.
5 Schmid, Wolfgang Ch.
5 Shiue, Peter Jau-Shyong
5 Tang, Yu
5 Xiang, Qing
4 Ahmadi, Omran
4 Fernando, Neranga
4 Hong, Shaofang
4 Küçüksakallı, Ömer
4 Larcher, Gerhard
4 Li, Chao
4 Li, Yang
4 Luca, Florian
4 Matthews, Rex W.
4 Moura, Lucia
4 Özbudak, Ferruh
4 Pasalic, Enes
4 Qin, Xiao’er
4 Quoos, Luciane
4 Shparlinski, Igor E.
4 Torres-Jimenez, Jose
4 Trinker, Horst
4 Tu, Ziran
4 Vrahatis, Michael N.
4 Wang, Libo
4 Yuan, Jin
4 Zieve, Michael E.
3 Akbary, Amir
3 Anbar, Nurdagül
3 Aslan, Ersin
3 Baoulina, Ioulia N.
3 Bluher, Antonia Wilson
3 Brawley, Joel Vincent jun.
3 Castro, Francis Noel
3 Cavenagh, Nicholas J.
3 Cepak, Nastja
3 Damelin, Steven Benjamin
3 Davvaz, Bijan
3 Ethier, John T.
3 Falcón Ganfornina, Raúl Manuel
3 Feng, Keqin
3 Feng, Tao
3 Feng, Xiutao
3 Fryz, Iryna V.
3 Fu, Shaojing
3 Ghorpade, Sudhir R.
3 Göloğlu, Faruk
3 Hachenberger, Dirk
3 He, Tianxiao
3 Henderson, Marie
3 Ji, Lijun
3 Kamlovskiĭ, Oleg Vital’evich
3 Kurkcu, Omur Kivanc
3 Kyureghyan, Gohar M.
3 Laohakosol, Vichian
...and 757 more Authors
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Cited in 160 Serials

189 Finite Fields and their Applications
58 Designs, Codes and Cryptography
45 Discrete Mathematics
26 Journal of Number Theory
19 Linear Algebra and its Applications
18 Discrete Applied Mathematics
17 Mathematics of Computation
16 Journal of Combinatorial Theory. Series A
16 Applicable Algebra in Engineering, Communication and Computing
13 Cryptography and Communications
12 Proceedings of the American Mathematical Society
10 European Journal of Combinatorics
10 Journal of Combinatorial Designs
10 Journal of Algebra and its Applications
8 Monatshefte für Mathematik
7 Journal of Statistical Planning and Inference
7 Journal of Complexity
7 The Electronic Journal of Combinatorics
7 Matematicheskie Voprosy Kriptografii
6 Bulletin of the Australian Mathematical Society
6 Journal of Symbolic Computation
6 Journal of Algebraic Combinatorics
6 International Journal of Number Theory
5 Information Processing Letters
5 Journal of Pure and Applied Algebra
5 Theoretical Computer Science
5 Turkish Journal of Mathematics
4 American Mathematical Monthly
4 Applied Mathematics and Computation
4 Science China. Mathematics
3 Communications in Algebra
3 The Mathematical Intelligencer
3 Czechoslovak Mathematical Journal
3 Information Sciences
3 International Journal of Mathematics and Mathematical Sciences
3 Mathematics and Computers in Simulation
3 Parallel Computing
3 Acta Mathematicae Applicatae Sinica. English Series
3 Mathematical and Computer Modelling
3 SIAM Journal on Discrete Mathematics
3 International Journal of Foundations of Computer Science
3 Journal of Mathematical Sciences (New York)
3 Acta Mathematica Sinica. English Series
3 Journal of the Australian Mathematical Society
3 Journal of Applied Mathematics
3 Advances in Mathematics of Communications
3 Journal of Statistical Theory and Practice
2 Israel Journal of Mathematics
2 Mathematical Notes
2 Periodica Mathematica Hungarica
2 Advances in Mathematics
2 The Annals of Statistics
2 Journal of Computational and Applied Mathematics
2 Journal of Functional Analysis
2 Siberian Mathematical Journal
2 Transactions of the American Mathematical Society
2 Advances in Applied Mathematics
2 Chinese Annals of Mathematics. Series B
2 Revista Matemática Iberoamericana
2 Annals of Operations Research
2 Discrete Mathematics and Applications
2 Aequationes Mathematicae
2 Indagationes Mathematicae. New Series
2 Computational Complexity
2 Advances in Computational Mathematics
2 Journal of Combinatorial Optimization
2 Annals of Combinatorics
2 Integers
2 Journal of Systems Science and Complexity
2 Asian-European Journal of Mathematics
2 International Journal of Combinatorics
2 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications
2 Prikladnaya Diskretnaya Matematika
1 Journal of the Franklin Institute
1 Journal of Statistical Physics
1 Linear and Multilinear Algebra
1 Problems of Information Transmission
1 Reports on Mathematical Physics
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 Beiträge zur Algebra und Geometrie
1 Annales de l’Institut Fourier
1 Archiv der Mathematik
1 Canadian Journal of Mathematics
1 Commentationes Mathematicae Universitatis Carolinae
1 Functiones et Approximatio. Commentarii Mathematici
1 Glasgow Mathematical Journal
1 Journal of Algebra
1 Journal of Geometry
1 Journal of Mathematical Economics
1 Journal of Soviet Mathematics
1 Mathematika
1 Proceedings of the Japan Academy. Series A
1 Programming and Computer Software
1 Publications de l’Institut Mathématique. Nouvelle Série
1 Revista de la Unión Matemática Argentina
1 Operations Research Letters
1 Applied Numerical Mathematics
1 Graphs and Combinatorics
1 Algorithmica
...and 60 more Serials
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Cited in 43 Fields

487 Number theory (11-XX)
230 Combinatorics (05-XX)
123 Information and communication theory, circuits (94-XX)
98 Field theory and polynomials (12-XX)
49 Computer science (68-XX)
34 Group theory and generalizations (20-XX)
32 Numerical analysis (65-XX)
28 Algebraic geometry (14-XX)
25 Commutative algebra (13-XX)
23 Geometry (51-XX)
22 Statistics (62-XX)
21 Linear and multilinear algebra; matrix theory (15-XX)
13 Operations research, mathematical programming (90-XX)
8 Order, lattices, ordered algebraic structures (06-XX)
8 Special functions (33-XX)
8 Dynamical systems and ergodic theory (37-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
7 Probability theory and stochastic processes (60-XX)
7 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
4 Associative rings and algebras (16-XX)
4 Measure and integration (28-XX)
4 Convex and discrete geometry (52-XX)
3 General algebraic systems (08-XX)
3 Nonassociative rings and algebras (17-XX)
3 Potential theory (31-XX)
3 Approximations and expansions (41-XX)
3 Quantum theory (81-XX)
2 General and overarching topics; collections (00-XX)
2 Ordinary differential equations (34-XX)
2 Sequences, series, summability (40-XX)
2 Integral equations (45-XX)
2 Manifolds and cell complexes (57-XX)
2 Biology and other natural sciences (92-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 \(K\)-theory (19-XX)
1 Real functions (26-XX)
1 Functions of a complex variable (30-XX)
1 Difference and functional equations (39-XX)
1 Abstract harmonic analysis (43-XX)
1 Functional analysis (46-XX)
1 Geophysics (86-XX)
1 Mathematics education (97-XX)

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