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## Dobbertin, Hans

Compute Distance To:
 Author ID: dobbertin.hans Published as: Dobbertin, Hans; Dobbertin, H. External Links: MGP · Wikidata · GND
 Documents Indexed: 43 Publications since 1979, including 1 Book Reviewing Activity: 1 Review Biographic References: 1 Publication
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#### Co-Authors

 21 single-authored 6 Canteaut, Anne 5 Leander, Gregor 4 Charpin, Pascale 2 Carlet, Claude 2 Felke, Patrick 2 Helleseth, Tor 1 Bosselaers, Antoon 1 Cusick, Thomas W. 1 Daum, Magnus 1 Dillon, John F. 1 Erné, Marcel 1 Gaborit, Philippe 1 Hansoul, Georges E. 1 Kasten, Volker 1 Kent, Darrell Conley 1 Knudsen, Lars Ramkilde 1 Kumar, P. Vijay 1 Martinsen, Halvard M. 1 Mills, Donald 1 Müller, Eva Nuria 1 Pott, Alexander 1 Preneel, Bart 1 Rijmen, Vincent 1 Robshaw, Matthew J. B. 1 Rosendahl, Petri 1 Schmieder, Gerald 1 Sowa, Aleksandra 1 Varlet, Jules C. 1 Wilke, Gerhard 1 Willems, Wolfgang
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#### Serials

 6 IEEE Transactions on Information Theory 4 Algebra Universalis 3 Archiv der Mathematik 2 Journal of Cryptology 2 Designs, Codes and Cryptography 1 Discrete Applied Mathematics 1 Discrete Mathematics 1 Rocky Mountain Journal of Mathematics 1 Journal of Algebra 1 Journal of Combinatorial Theory. Series A 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Order 1 Information and Computation 1 SIAM Journal on Discrete Mathematics 1 Applicable Algebra in Engineering, Communication and Computing 1 Finite Fields and their Applications 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Lecture Notes in Computer Science
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#### Fields

 27 Information and communication theory, circuits (94-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 9 Number theory (11-XX) 3 General algebraic systems (08-XX) 3 Group theory and generalizations (20-XX) 3 General topology (54-XX) 2 Combinatorics (05-XX) 2 Associative rings and algebras (16-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Field theory and polynomials (12-XX) 1 Category theory; homological algebra (18-XX) 1 Measure and integration (28-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Computer science (68-XX)

#### Citations contained in zbMATH Open

36 Publications have been cited 730 times in 418 Documents Cited by Year
Almost perfect nonlinear power functions on $$\mathrm{GF}(2^n)$$: the Welch case. Zbl 0957.94021
Dobbertin, Hans
1999
New cyclic difference sets with Singer parameters. Zbl 1043.05024
Dillon, J. F.; Dobbertin, Hans
2004
Almost perfect nonlinear power functions on $$\mathrm{GF}(2^n)$$: the Niho case. Zbl 1072.94513
Dobbertin, Hans
1999
Construction of bent functions and balanced Boolean functions with high nonlinearity. Zbl 0939.94563
Dobbertin, Hans
1995
Construction of bent functions via Niho power functions. Zbl 1095.94030
Dobbertin, Hans; Leander, Gregor; Canteaut, Anne; Carlet, Claude; Felke, Patrick; Gaborit, Philippe
2006
Almost perfect nonlinear power functions on $$\text{GF} (2^n)$$: A new case for $$n$$ divisible by 5. Zbl 1010.94550
Dobbertin, Hans
2001
One-to-one highly nonlinear power functions on $$\mathrm{GF}(2^n)$$. Zbl 0924.94026
Dobbertin, Hans
1998
Weight divisibility of cyclic codes, highly nonlinear functions on $$F_{2^m}$$, and crosscorrelation of maximum-length sequences. Zbl 1010.94013
Canteaut, Anne; Charpin, Pascale; Dobbertin, Hans
2000
Binary $$m$$-sequences with three-valued crosscorrelation: A proof of Welch’s conjecture. Zbl 1003.94519
Canteaut, Anne; Charpin, Pascale; Dobbertin, Hans
2000
Niho type cross-correlation functions via Dickson polynomials and Kloosterman sums. Zbl 1178.94220
Dobbertin, Hans; Felke, Patrick; Helleseth, Tor; Rosendahl, Petri
2006
Some new three-valued crosscorrelation functions for binary $$m$$-sequences. Zbl 0855.94012
Cusick, Thomas W.; Dobbertin, Hans
1996
Finding nonnormal bent functions. Zbl 1091.94021
Canteaut, Anne; Daum, Magnus; Dobbertin, Hans; Leander, Gregor
2006
RIPEMD-160: a strengthened version of RIPEMD. Zbl 1373.94914
Dobbertin, Hans; Bosselaers, Antoon; Preneel, Bart
1996
Cryptanalysis of MD4. Zbl 0972.94033
Dobbertin, Hans
1998
APN functions in odd characteristic. Zbl 1028.11076
Dobbertin, Hans; Mills, Donald; Müller, Eva Nuria; Pott, Alexander; Willems, Wolfgang
2003
Refinement monoids, Vaught monoids, and Boolean algebras. Zbl 0505.08005
Dobbertin, Hans
1983
Kasami power functions, permutation polynomials and cyclic difference sets. Zbl 0946.05010
Dobbertin, Hans
1999
Uniformly representable permutation polynomials. Zbl 1041.11081
Dobbertin, Hans
2002
Normal extensions of bent functions. Zbl 1184.94232
Carlet, Claude; Dobbertin, Hans; Leander, Gregor
2004
Another proof of Kasami’s theorem. Zbl 0941.94013
Dobbertin, Hans
1999
Ternary $$m$$-sequences with three-valued cross-correlation function: New decimations of Welch and Niho type. Zbl 1039.94004
Dobbertin, Hans; Helleseth, Tor; Kumar, P. Vijay; Martinsen, Halvard
2001
A survey of some recent results on bent functions. Zbl 1145.94439
Dobbertin, Hans; Leander, Gregor
2005
Primely generated regular refinement monoids. Zbl 0544.20058
Dobbertin, Hans
1984
Cryptanalysis of MD4. Zbl 1373.94913
Dobbertin, Hans
1996
RIPEMD with two-round compress function is not collision-free. Zbl 0864.94016
Dobbertin, Hans
1997
The first two rounds of MD4 are not one-way. Zbl 1385.94030
Dobbertin, Hans
1998
Bent functions embedded into the recursive framework of $$\mathbb{Z}$$-bent functions. Zbl 1179.94061
Dobbertin, Hans; Leander, Gregor
2008
On Vaught’s criterion for isomorphisms of countable Boolean algebras. Zbl 0443.08002
Dobbertin, Hans
1982
Vaught measures and their applications in lattice theory. Zbl 0606.06011
Dobbertin, Hans
1986
Measurable refinement monoids and applications to distributive semilattices, Heyting algebras, and Stone spaces. Zbl 0523.06017
Dobbertin, Hans
1984
Binary $$m$$-sequences with three-valued crosscorrelation: A proof of Welch’s conjecture. (Couples de suites binaires de longueur maximale ayant une corrélation croisée à trois valeurs: Conjecture de Welch.) Zbl 0919.94010
Canteaut, Anne; Charpin, Pascale; Dobbertin, Hans
1999
About polytopes of valuations on finite distributive lattices. Zbl 0577.06013
Dobbertin, Hans
1985
A note on semigroups of ring endomorphisms. Zbl 0402.06005
Dobbertin, Hans
1979
Local regularity for distributive p-algebras and distributive double p- algebras. Zbl 0433.06014
Dobbertin, Hans; Wilke, Gerhard
1980
Note on associative Newman algebras. Zbl 0445.06010
Dobbertin, Hans
1979
A new characterization of almost bent functions. Zbl 1004.94019
Canteaut, Anne; Charpin, Pascale; Dobbertin, Hans
1999
Bent functions embedded into the recursive framework of $$\mathbb{Z}$$-bent functions. Zbl 1179.94061
Dobbertin, Hans; Leander, Gregor
2008
Construction of bent functions via Niho power functions. Zbl 1095.94030
Dobbertin, Hans; Leander, Gregor; Canteaut, Anne; Carlet, Claude; Felke, Patrick; Gaborit, Philippe
2006
Niho type cross-correlation functions via Dickson polynomials and Kloosterman sums. Zbl 1178.94220
Dobbertin, Hans; Felke, Patrick; Helleseth, Tor; Rosendahl, Petri
2006
Finding nonnormal bent functions. Zbl 1091.94021
Canteaut, Anne; Daum, Magnus; Dobbertin, Hans; Leander, Gregor
2006
A survey of some recent results on bent functions. Zbl 1145.94439
Dobbertin, Hans; Leander, Gregor
2005
New cyclic difference sets with Singer parameters. Zbl 1043.05024
Dillon, J. F.; Dobbertin, Hans
2004
Normal extensions of bent functions. Zbl 1184.94232
Carlet, Claude; Dobbertin, Hans; Leander, Gregor
2004
APN functions in odd characteristic. Zbl 1028.11076
Dobbertin, Hans; Mills, Donald; Müller, Eva Nuria; Pott, Alexander; Willems, Wolfgang
2003
Uniformly representable permutation polynomials. Zbl 1041.11081
Dobbertin, Hans
2002
Almost perfect nonlinear power functions on $$\text{GF} (2^n)$$: A new case for $$n$$ divisible by 5. Zbl 1010.94550
Dobbertin, Hans
2001
Ternary $$m$$-sequences with three-valued cross-correlation function: New decimations of Welch and Niho type. Zbl 1039.94004
Dobbertin, Hans; Helleseth, Tor; Kumar, P. Vijay; Martinsen, Halvard
2001
Weight divisibility of cyclic codes, highly nonlinear functions on $$F_{2^m}$$, and crosscorrelation of maximum-length sequences. Zbl 1010.94013
Canteaut, Anne; Charpin, Pascale; Dobbertin, Hans
2000
Binary $$m$$-sequences with three-valued crosscorrelation: A proof of Welch’s conjecture. Zbl 1003.94519
Canteaut, Anne; Charpin, Pascale; Dobbertin, Hans
2000
Almost perfect nonlinear power functions on $$\mathrm{GF}(2^n)$$: the Welch case. Zbl 0957.94021
Dobbertin, Hans
1999
Almost perfect nonlinear power functions on $$\mathrm{GF}(2^n)$$: the Niho case. Zbl 1072.94513
Dobbertin, Hans
1999
Kasami power functions, permutation polynomials and cyclic difference sets. Zbl 0946.05010
Dobbertin, Hans
1999
Another proof of Kasami’s theorem. Zbl 0941.94013
Dobbertin, Hans
1999
Binary $$m$$-sequences with three-valued crosscorrelation: A proof of Welch’s conjecture. (Couples de suites binaires de longueur maximale ayant une corrélation croisée à trois valeurs: Conjecture de Welch.) Zbl 0919.94010
Canteaut, Anne; Charpin, Pascale; Dobbertin, Hans
1999
A new characterization of almost bent functions. Zbl 1004.94019
Canteaut, Anne; Charpin, Pascale; Dobbertin, Hans
1999
One-to-one highly nonlinear power functions on $$\mathrm{GF}(2^n)$$. Zbl 0924.94026
Dobbertin, Hans
1998
Cryptanalysis of MD4. Zbl 0972.94033
Dobbertin, Hans
1998
The first two rounds of MD4 are not one-way. Zbl 1385.94030
Dobbertin, Hans
1998
RIPEMD with two-round compress function is not collision-free. Zbl 0864.94016
Dobbertin, Hans
1997
Some new three-valued crosscorrelation functions for binary $$m$$-sequences. Zbl 0855.94012
Cusick, Thomas W.; Dobbertin, Hans
1996
RIPEMD-160: a strengthened version of RIPEMD. Zbl 1373.94914
Dobbertin, Hans; Bosselaers, Antoon; Preneel, Bart
1996
Cryptanalysis of MD4. Zbl 1373.94913
Dobbertin, Hans
1996
Construction of bent functions and balanced Boolean functions with high nonlinearity. Zbl 0939.94563
Dobbertin, Hans
1995
Vaught measures and their applications in lattice theory. Zbl 0606.06011
Dobbertin, Hans
1986
About polytopes of valuations on finite distributive lattices. Zbl 0577.06013
Dobbertin, Hans
1985
Primely generated regular refinement monoids. Zbl 0544.20058
Dobbertin, Hans
1984
Measurable refinement monoids and applications to distributive semilattices, Heyting algebras, and Stone spaces. Zbl 0523.06017
Dobbertin, Hans
1984
Refinement monoids, Vaught monoids, and Boolean algebras. Zbl 0505.08005
Dobbertin, Hans
1983
On Vaught’s criterion for isomorphisms of countable Boolean algebras. Zbl 0443.08002
Dobbertin, Hans
1982
Local regularity for distributive p-algebras and distributive double p- algebras. Zbl 0433.06014
Dobbertin, Hans; Wilke, Gerhard
1980
A note on semigroups of ring endomorphisms. Zbl 0402.06005
Dobbertin, Hans
1979
Note on associative Newman algebras. Zbl 0445.06010
Dobbertin, Hans
1979
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#### Cited by 469 Authors

 19 Carlet, Claude 16 Mesnager, Sihem 15 Cao, Xiwang 15 Hu, Lei 13 Zeng, Xiangyong 12 Hou, Xiang-Dong 11 Dobbertin, Hans 11 Helleseth, Tor 11 Pasalic, Enes 10 Li, Nian 10 Tang, Chunming 9 Ding, Cunsheng 9 Pott, Alexander 9 Qu, Longjiang 9 Wehrung, Friedrich 8 Gangopadhyay, Sugata 8 Leander, Gregor 8 Qi, Yanfeng 7 Ara, Pere 7 Langevin, Philippe 7 Yue, Qin 7 Zha, Zhengbang 7 Zheng, Dabin 7 Zhou, Zhengchun 6 Budaghyan, Lilya 6 Canteaut, Anne 6 Charpin, Pascale 6 Meidl, Wilfried 6 Xu, Guangkui 6 Yan, Haode 6 Zhang, Fengrong 5 Çeşmelioğlu, Ayça 5 Fan, Cuiling 5 Gong, Guang 5 Kyureghyan, Gohar M. 5 Li, Chao 5 Li, Chengju 5 Maitra, Subhamoy 5 Tan, Chik How 5 Tang, Deng 5 Wei, Yongzhuang 5 Xiang, Qing 4 Abdukhalikov, Kanat S. 4 Bracken, Carl 4 Calderini, Marco 4 Dillon, John F. 4 Göloğlu, Faruk 4 Hodžić, Samir 4 Katz, Daniel J. 4 Kavut, Selçuk 4 Kim, Kwang Ho 4 Li, Kangquan 4 Mandal, Bimal 4 McGuire, Gary 4 Pardo, Enrique 4 Peng, Jie 4 Sasaki, Yu 4 Stănică, Pantelimon 4 Tokareva, Natalia Nikolaevna 4 Tu, Ziran 4 Villa, Irene 4 Xiong, Maosheng 4 Xu, Shanding 4 Zhang, Weiguo 3 Aoki, Kazumaro 3 Castro, Francis Noel 3 Chen, Yuan 3 Climent, Joan-Josep 3 Cohen, Gérard Denis 3 Feng, Tao 3 Gorodilova, Anastasiya Aleksandrovna 3 Huang, Dongmei 3 Kholosha, Alexander 3 Li, Chunlei 3 Mendel, Florian 3 Perera, Francesc 3 Qiu, Weisheng 3 Requena, Verónica 3 Rijmen, Vincent 3 Rosendahl, Petri 3 Sarkar, Sumanta 3 Schmidt, Kai-Uwe 3 Shi, Weimin 3 Sun, Guanghong 3 Tang, Yuansheng 3 Wang, Xiaoqiang 3 Wu, Chuankun 3 Xu, Maozhi 3 Yang, Yuguang 3 Yu, Long 3 Zhou, Yihua 3 Zhu, Xishun 3 Zinov’ev, Viktor Aleksandrovich 2 Alsalami, Yousuf 2 Arasu, Krishnasamy Thiru 2 Bartoli, Daniele 2 Bi, Jing-Lin 2 Blondeau, Celine 2 Bosa, Joan 2 Brookfield, Gary ...and 369 more Authors
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#### Cited in 79 Serials

 69 Finite Fields and their Applications 52 Cryptography and Communications 46 Designs, Codes and Cryptography 15 Journal of Combinatorial Theory. Series A 15 Applicable Algebra in Engineering, Communication and Computing 13 Discrete Mathematics 13 Advances in Mathematics of Communications 10 Discrete Applied Mathematics 8 Journal of Cryptology 8 Prikladnaya Diskretnaya Matematika 7 Information Sciences 6 Information Processing Letters 6 Science China. Mathematics 5 International Journal of Foundations of Computer Science 5 International Journal of Computer Mathematics 5 Matematicheskie Voprosy Kriptografii 4 Algebra Universalis 4 Journal of Algebra 4 European Journal of Combinatorics 4 SIAM Journal on Discrete Mathematics 4 Journal of Systems Science and Complexity 3 Periodica Mathematica Hungarica 3 Problems of Information Transmission 3 Journal of Number Theory 3 Journal of Pure and Applied Algebra 3 Theoretical Computer Science 3 Journal of Complexity 2 Bulletin of the Australian Mathematical Society 2 Communications in Algebra 2 Israel Journal of Mathematics 2 Mathematica Slovaca 2 Semigroup Forum 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Order 2 International Journal of Algebra and Computation 2 Discrete Mathematics and Applications 2 Nonlinear Dynamics 2 Wuhan University Journal of Natural Sciences (WUJNS) 2 Journal of Discrete Mathematical Sciences & Cryptography 2 Quantum Information Processing 2 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 International Journal of Theoretical Physics 1 Acta Arithmetica 1 Advances in Mathematics 1 Colloquium Mathematicum 1 Computing 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Journal of Soviet Mathematics 1 The Journal of Symbolic Logic 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Proceedings of the American Mathematical Society 1 Journal of Computer Science and Technology 1 Information and Computation 1 Science in China. Series A 1 Aequationes Mathematicae 1 SIAM Journal on Optimization 1 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 1 Applied Mathematics. Series B (English Edition) 1 Algebra Colloquium 1 Turkish Journal of Mathematics 1 Advances in Applied Clifford Algebras 1 The Electronic Journal of Combinatorics 1 Selecta Mathematica. New Series 1 Computer Science Journal of Moldova 1 Mathematical Problems in Engineering 1 Algebras and Representation Theory 1 Discrete Dynamics in Nature and Society 1 Journal of Algebra and its Applications 1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A1. Informatica 1 Journal of Mathematical Cryptology 1 Logical Methods in Computer Science 1 Science China. Information Sciences 1 S$$\vec{\text{e}}$$MA Journal 1 Transactions on Combinatorics 1 Algebra 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications
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#### Cited in 27 Fields

 293 Information and communication theory, circuits (94-XX) 194 Number theory (11-XX) 97 Order, lattices, ordered algebraic structures (06-XX) 58 Combinatorics (05-XX) 19 Field theory and polynomials (12-XX) 18 Group theory and generalizations (20-XX) 17 Computer science (68-XX) 14 Geometry (51-XX) 12 Associative rings and algebras (16-XX) 11 Algebraic geometry (14-XX) 7 Functional analysis (46-XX) 6 Mathematical logic and foundations (03-XX) 6 General algebraic systems (08-XX) 5 Category theory; homological algebra (18-XX) 5 Quantum theory (81-XX) 4 $$K$$-theory (19-XX) 2 Commutative algebra (13-XX) 2 Real functions (26-XX) 2 Probability theory and stochastic processes (60-XX) 2 Numerical analysis (65-XX) 1 Measure and integration (28-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Operator theory (47-XX) 1 Convex and discrete geometry (52-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX)

#### Wikidata Timeline

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