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## Brawley, Joel Vincent jun.

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 Author ID: brawley.joel-v-jun Published as: Brawley, J. V.; Brawley, J. V. jun.; Brawley, J. jun.; Brawley, Joel; Brawley, Joel V. External Links: MGP · Wikidata
 Documents Indexed: 44 Publications since 1966, including 1 Book Reviewing Activity: 23 Reviews
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#### Co-Authors

 14 single-authored 8 Carlitz, Leonard 7 Levine, Jack 4 Mullen, Gary L. 2 Gao, Shuhong 2 Mills, Donald 2 Schnibben, George E. 1 Bender, Edward A. 1 Brillhart, John 1 Brown, David A. 1 Brown, David E. 1 Gamble, R. O. 1 Gilmer, Robert W. jun. 1 Gould, Henry Wadsworth 1 Hankins, Max 1 Jamison, Robert E. 1 Teitloff, Timothy C. 1 Vaughan, Theresa P.
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#### Serials

 8 Linear Algebra and its Applications 6 Duke Mathematical Journal 4 American Mathematical Monthly 3 Discrete Mathematics 3 Finite Fields and their Applications 2 Linear and Multilinear Algebra 2 Acta Arithmetica 2 Journal of Algebra 2 Journal für die Reine und Angewandte Mathematik 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Combinatorial Theory. Series A 1 Journal of Number Theory 1 Publicationes Mathematicae 1 Cryptologia 1 SIAM Journal on Algebraic and Discrete Methods 1 Congressus Numerantium 1 Contemporary Mathematics
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#### Fields

 21 Number theory (11-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 6 Combinatorics (05-XX) 5 Field theory and polynomials (12-XX) 4 History and biography (01-XX) 3 Commutative algebra (13-XX) 2 Computer science (68-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Information and communication theory, circuits (94-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 135 times in 92 Documents Cited by Year
Scalar polynomial functions on the $$n\times n$$ matrices over a finite field. Zbl 0307.15004
Brawley, J. V.; Carlitz, Leonard; Levine, Jack
1975
Infinite algebraic extensions of finite fields. Zbl 0674.12009
Brawley, Joel V.; Schnibben, George E.
1989
Irreducibles and the composed product for polynomials over a finite field. Zbl 0615.05007
Brawley, J. V.; Carlitz, Leonard
1987
A characterization of the $$n \times n$$ matrices over a finite field. Zbl 0276.15021
Brawley, J. V.; Carlitz, Leonard
1973
Linear permutation polynomials with coefficients in a subfield. Zbl 0244.12016
Brawley, J. V.; Carlitz, Leonard; Vaughan, Theresa
1973
Enumeration of matrices with prescribed row and column sums. Zbl 0247.15012
Brawley, J. V.; Carlitz, Leonard
1973
The number of polynomial functions which permute the matrices over a finite field. Zbl 0337.12016
Brawley, J. V.
1976
Polynomials over a ring that permute the matrices over that ring. Zbl 0328.13003
Brawley, J. V.
1976
Computing composed products of polynomials. Zbl 0932.12007
Brawley, Joel V.; Gao, Shuhong; Mills, Donald
1999
Functions and polynomials over Galois rings. Zbl 0759.11043
Brawley, Joel V.; Mullen, Gary L.
1992
Polynomials which permute the matrices over a field. Zbl 0609.15007
Brawley, J. V.; Schnibben, George E.
1987
Equivalence classes of involutory mappings. Zbl 0241.15007
Brawley, J. V.; Levine, Jack
1972
Certain sets of involutory matrices and their groups. Zbl 0195.04901
Brawley, Joel V.
1969
A test for additive decomposability of irreducibles over a finite field. Zbl 0688.12005
Brawley, J. V.; Carlitz, Leonard
1989
Involutory matrices over finite commutative rings. Zbl 0402.15007
Brawley, J. V.; Gamble, R. O.
1978
Power sums of matrices over a finite field. Zbl 0282.15009
Brawley, J. V.; Carlitz, Leonard; Levine, J.
1974
Similarity to symmetric matrices over finite fields. Zbl 0923.15009
Brawley, Joel V.; Teitloff, Timothy C.
1998
Dedicated to Leonard Carlitz: The man and his work. Zbl 0864.11002
Brawley, Joel V.
1995
Composed products and module polynomials over finite fields. Zbl 0780.11065
Brawley, Joel V.; Brown, David
1993
Infinite Latin squares containing nested sets of mutually orthogonal finite Latin squares. Zbl 0751.05013
Brawley, J. V.; Mullen, Gary L.
1991
Similarity to symmetric matrices over fields which are not formally real. Zbl 0319.15006
Bender, Edward A.; Brawley, J. V.
1975
On the ranks of bases of vector spaces of matrices. Zbl 0196.05302
Brawley, J. jun.
1970
Involutory commutants with some applications to algebraic cryptography. II. Zbl 0178.03401
Levine, J.; Brawley, J. V. jun.
1967
Similar involutory matrices modulo R. Zbl 0159.03603
Brawley, J. V. jun.
1967
Involutory commutants with some applications to algebraic cryptography. Zbl 0168.28204
Levine, J.; Brawley, J. V. jun.
1966
Similar involutory matrices $$(\mod p^ m)$$. Zbl 0138.01302
Brawley, J. jun.
1966
In memory of Jack Levine (1907-2005). Zbl 1325.94003
Brawley, Joel V.
2006
Associative rational functions in two variables. Zbl 1007.14004
Brawley, Joel V.; Gao, Shuhong; Mills, Donald
2001
In memoriam Leonard Carlitz (1907-1999). Zbl 0979.01024
Brawley, Joel V.
2000
Fields that admit a nonlinear permutation polynomial. Zbl 0672.12007
Brawley, J. V.; Gilmer, Robert
1989
Vandermonde independent matrices, basic sets, and polynomial matrix functions over a finite field. Zbl 0602.15011
Brawley, J. V.
1986
On distribution by rank of bases for vector spaces of matrices over a finite field. Zbl 0467.15006
Brawley, J. V.; Hankins, Max
1981
A note on polynomial matrix functions over a finite field. Zbl 0419.15011
Brawley, J. V.
1979
An addendum to the paper ’A characterization of the $$n \times n$$ matrices over a finite field’. Zbl 0279.12008
Brawley, J. V.; Carlitz, Leonard
1973
Equivalence classes of linear mappings with applications to algebraic cryptography. II. Zbl 0241.15006
Brawley, J. V.; Levine, Jack
1972
Equivalence classes of linear mappings with applications to algebraic cryptography. I. Zbl 0241.15005
Brawley, J. V.; Levine, Jack
1972
In memory of Jack Levine (1907-2005). Zbl 1325.94003
Brawley, Joel V.
2006
Associative rational functions in two variables. Zbl 1007.14004
Brawley, Joel V.; Gao, Shuhong; Mills, Donald
2001
In memoriam Leonard Carlitz (1907-1999). Zbl 0979.01024
Brawley, Joel V.
2000
Computing composed products of polynomials. Zbl 0932.12007
Brawley, Joel V.; Gao, Shuhong; Mills, Donald
1999
Similarity to symmetric matrices over finite fields. Zbl 0923.15009
Brawley, Joel V.; Teitloff, Timothy C.
1998
Dedicated to Leonard Carlitz: The man and his work. Zbl 0864.11002
Brawley, Joel V.
1995
Composed products and module polynomials over finite fields. Zbl 0780.11065
Brawley, Joel V.; Brown, David
1993
Functions and polynomials over Galois rings. Zbl 0759.11043
Brawley, Joel V.; Mullen, Gary L.
1992
Infinite Latin squares containing nested sets of mutually orthogonal finite Latin squares. Zbl 0751.05013
Brawley, J. V.; Mullen, Gary L.
1991
Infinite algebraic extensions of finite fields. Zbl 0674.12009
Brawley, Joel V.; Schnibben, George E.
1989
A test for additive decomposability of irreducibles over a finite field. Zbl 0688.12005
Brawley, J. V.; Carlitz, Leonard
1989
Fields that admit a nonlinear permutation polynomial. Zbl 0672.12007
Brawley, J. V.; Gilmer, Robert
1989
Irreducibles and the composed product for polynomials over a finite field. Zbl 0615.05007
Brawley, J. V.; Carlitz, Leonard
1987
Polynomials which permute the matrices over a field. Zbl 0609.15007
Brawley, J. V.; Schnibben, George E.
1987
Vandermonde independent matrices, basic sets, and polynomial matrix functions over a finite field. Zbl 0602.15011
Brawley, J. V.
1986
On distribution by rank of bases for vector spaces of matrices over a finite field. Zbl 0467.15006
Brawley, J. V.; Hankins, Max
1981
A note on polynomial matrix functions over a finite field. Zbl 0419.15011
Brawley, J. V.
1979
Involutory matrices over finite commutative rings. Zbl 0402.15007
Brawley, J. V.; Gamble, R. O.
1978
The number of polynomial functions which permute the matrices over a finite field. Zbl 0337.12016
Brawley, J. V.
1976
Polynomials over a ring that permute the matrices over that ring. Zbl 0328.13003
Brawley, J. V.
1976
Scalar polynomial functions on the $$n\times n$$ matrices over a finite field. Zbl 0307.15004
Brawley, J. V.; Carlitz, Leonard; Levine, Jack
1975
Similarity to symmetric matrices over fields which are not formally real. Zbl 0319.15006
Bender, Edward A.; Brawley, J. V.
1975
Power sums of matrices over a finite field. Zbl 0282.15009
Brawley, J. V.; Carlitz, Leonard; Levine, J.
1974
A characterization of the $$n \times n$$ matrices over a finite field. Zbl 0276.15021
Brawley, J. V.; Carlitz, Leonard
1973
Linear permutation polynomials with coefficients in a subfield. Zbl 0244.12016
Brawley, J. V.; Carlitz, Leonard; Vaughan, Theresa
1973
Enumeration of matrices with prescribed row and column sums. Zbl 0247.15012
Brawley, J. V.; Carlitz, Leonard
1973
An addendum to the paper ’A characterization of the $$n \times n$$ matrices over a finite field’. Zbl 0279.12008
Brawley, J. V.; Carlitz, Leonard
1973
Equivalence classes of involutory mappings. Zbl 0241.15007
Brawley, J. V.; Levine, Jack
1972
Equivalence classes of linear mappings with applications to algebraic cryptography. II. Zbl 0241.15006
Brawley, J. V.; Levine, Jack
1972
Equivalence classes of linear mappings with applications to algebraic cryptography. I. Zbl 0241.15005
Brawley, J. V.; Levine, Jack
1972
On the ranks of bases of vector spaces of matrices. Zbl 0196.05302
Brawley, J. jun.
1970
Certain sets of involutory matrices and their groups. Zbl 0195.04901
Brawley, Joel V.
1969
Involutory commutants with some applications to algebraic cryptography. II. Zbl 0178.03401
Levine, J.; Brawley, J. V. jun.
1967
Similar involutory matrices modulo R. Zbl 0159.03603
Brawley, J. V. jun.
1967
Involutory commutants with some applications to algebraic cryptography. Zbl 0168.28204
Levine, J.; Brawley, J. V. jun.
1966
Similar involutory matrices $$(\mod p^ m)$$. Zbl 0138.01302
Brawley, J. jun.
1966
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#### Cited by 115 Authors

 16 Brawley, Joel Vincent jun. 6 Werner, Nicholas J. 5 Carlitz, Leonard 4 Fulton, John D. 3 Nechaev, Aleksandr Aleksandrovich 2 Ashlock, Daniel Abram 2 Azarang, Alborz 2 Cohen, Stephen D. 2 Dukkipati, Ambedkar 2 Guha, Ashwin 2 Meemark, Yotsanan 2 Meyn, Helmut 2 Mullen, Gary L. 2 Peruginelli, Giulio 2 Richman, David Ross 2 Sirisuk, Siripong 2 Vaughan, Theresa P. 1 Afanassiev, Valentine B. 1 An, Lijian 1 Andrunakievich, Vladimir Aleksandrovich 1 Arnautov, Vladimir Ivanovich 1 Barkatou, Moulay A. 1 Beasley, LeRoy B. 1 Benferhat, Leila 1 Benoumhani, Safia Manar Elislam 1 Bostan, Alin 1 Boumahdi, Rachid 1 Bremser, Priscilla S. 1 Brescia, Mattia 1 Brown, David A. 1 Buturlakin, Aleksandr Aleksandrovich 1 Cahen, Paul-Jean 1 Chabert, Jean-Luc 1 Choi, Man-Duen 1 Chuang, Chen-Lian 1 Cigliola, Antonio 1 Cline, Randall E. 1 Davydov, Alexander A. 1 Ecker, Andreas 1 Evans, Anthony B. 1 Flajolet, Philippe 1 Fortuny, P. 1 Frisch, Sophie 1 Gabriel, Richard P. 1 Gamble, R. O. 1 Gao, Jin 1 Gilmer, Robert W. jun. 1 Glasby, Stephen Peter 1 Gomez-Calderon, Javier 1 Goyan, I. M. 1 Grau, José María 1 Gritzmann, Peter 1 Hankins, Max 1 Hodges, John H. 1 James, N. S. 1 Karamzadeh, Omid Ali Shahni 1 Kedlaya, Kiran Sridhara 1 Khare, Apoorva 1 Khuri-Makdisi, Kamal 1 Krenn, Daniel 1 Langfeld, Barbara 1 Larone, Jesse 1 Laywine, Charles F. 1 Lecerf, Grégoire 1 Levine, Jack 1 Lidl, Rudolf 1 Lim, Meng-Hui 1 Liu, Zhuojun 1 Loper, Kenneth Alan 1 Malcolm, Alexander J. 1 Marcos, José E. 1 Martin, Gage N. 1 Matthews, Rex W. 1 McConnel, Robert M. 1 Micheli, Giacomo 1 Mills, Donald 1 Minden, Kaethe 1 Munemasa, Akihiro 1 Nakamura, Hiroko 1 Neuerburg, Kent M. 1 Niederreiter, Harald 1 Nosov, Valentin A. 1 Oller-Marcén, Antonio M. 1 Ollis, M. A. 1 Özbudak, Ferruh 1 Park, Hong Goo 1 Pullman, Norman J. 1 Qu, Haipeng 1 Ranade, Kedar S. 1 Reeds, James A. 1 Rosenthal, Peter 1 Royle, Gordon F. 1 Rúa, Ignacio F. 1 Russo, Alessio 1 Ryabukhin, Yuriĭ Mikhaĭlovich 1 Saadé, Joelle 1 Sachkov, Vladimir N. 1 Salvy, Bruno 1 Scheerhorn, Alfred 1 Schnibben, George E. ...and 15 more Authors
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#### Cited in 36 Serials

 18 Linear Algebra and its Applications 6 Linear and Multilinear Algebra 6 Finite Fields and their Applications 5 Journal of Pure and Applied Algebra 5 Designs, Codes and Cryptography 5 Journal of Algebra and its Applications 4 Journal of Algebra 3 Journal of Soviet Mathematics 3 Applicable Algebra in Engineering, Communication and Computing 2 Communications in Algebra 2 Discrete Mathematics 2 Journal of Combinatorial Theory. Series A 2 Journal of Number Theory 2 Rendiconti del Seminario Matematico della Università di Padova 2 Cryptologia 2 Journal of Symbolic Computation 1 American Mathematical Monthly 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Mathematics of Computation 1 Computing 1 Kybernetika 1 Monatshefte für Mathematik 1 Proceedings of the American Mathematical Society 1 Siberian Mathematical Journal 1 Theoretical Computer Science 1 Transactions of the American Mathematical Society 1 Journal of Complexity 1 Algorithmica 1 Discrete & Computational Geometry 1 SIAM Journal on Discrete Mathematics 1 International Journal of Algebra and Computation 1 The Electronic Journal of Combinatorics 1 Journal of the Australian Mathematical Society 1 Mediterranean Journal of Mathematics 1 Bulletin of the American Mathematical Society
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#### Cited in 22 Fields

 44 Number theory (11-XX) 26 Linear and multilinear algebra; matrix theory (15-XX) 20 Commutative algebra (13-XX) 14 Field theory and polynomials (12-XX) 11 Combinatorics (05-XX) 10 Associative rings and algebras (16-XX) 10 Group theory and generalizations (20-XX) 9 Computer science (68-XX) 8 Information and communication theory, circuits (94-XX) 4 History and biography (01-XX) 3 Algebraic geometry (14-XX) 2 Numerical analysis (65-XX) 1 General algebraic systems (08-XX) 1 Nonassociative rings and algebras (17-XX) 1 Functions of a complex variable (30-XX) 1 Ordinary differential equations (34-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX)

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