# zbMATH — the first resource for mathematics

## Hellman, Martin Edward

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 Author ID: hellman.martin-e Published as: Hellman, M. E.; Hellman, Martin; Hellman, Martin E. External Links: MGP · Wikidata · dblp Awards: Turing Award (2015)
 Documents Indexed: 36 Publications since 1970
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#### Co-Authors

 8 single-authored 9 Cover, Thomas Merrill 3 Karnin, Ehud D. 2 Carleial, Aydano B. 2 Davis, Charles R. 2 Leung-Yan-Cheong, Sik K. 2 Reyneri, Justin M. 1 Amirazizi, Hamid R. 1 Diffie, Whitfield 1 Flower, Richard A. 1 Freedman, Michael Aaron 1 Greene, Jonathan W. 1 Horos, John A. 1 Langford, Susan K. 1 Pohlig, Stephen C. 1 Raviv, Josef 1 Verriest, Erik J. 1 Winternitz, Robert S.
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#### Serials

 20 IEEE Transactions on Information Theory 2 IEEE Transactions on Communications 2 Annals of Mathematical Statistics 1 Information and Control 1 Cryptologia 1 Problemy Peredachi Informatsii 1 IEEE Transactions on Systems Science and Cybernetics
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#### Fields

 20 Information and communication theory, circuits (94-XX) 14 Statistics (62-XX) 10 Computer science (68-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Number theory (11-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX)

#### Citations contained in zbMATH

24 Publications have been cited 1,006 times in 949 Documents Cited by Year
New directions in cryptography. Zbl 0435.94018
Diffie, Whitfield; Hellman, Martin E.
1976
An improved algorithm for computing logarithms over GF(p) and its cryptographic significance. Zbl 0375.68023
Pohlig, Stephen C.; Hellman, Martin E.
1978
On secret sharing systems. Zbl 0503.94018
Karnin, Ehud D.; Greene, Jonathan W.; Hellman, Martin E.
1983
A cryptanalytic time-memory trade-off. Zbl 0436.94016
Hellman, Martin E.
1980
Differential-linear cryptanalysis. Zbl 0939.94524
Langford, Susan K.; Hellman, Martin E.
1994
Probability of error, equivocation and the Chernoff bound. Zbl 0218.62005
Hellman, M. E.; Raviv, J.
1970
Learning with finite memory. Zbl 0198.52803
Hellman, Martin E.; Cover, Thomas M.
1970
The Gaussian wire-tap channel. Zbl 0384.94014
Leung-Yan-Cheong, S. K.; Hellman, Martin E.
1978
The nearest neighboor classification rule with a reject option. Zbl 0204.52201
Hellman, Martin E.
1970
Bistable behavior of ALOHA-type systems. Zbl 0347.94002
Carleial, Aydano B.; Hellman, Martin E.
1975
An extension of the Shannon theory approach to cryptography. Zbl 0362.94030
Hellman, Martin E.
1977
The two-armed-bandit problem with time-invariant finite memory. Zbl 0193.47802
Cover, Thomas M.; Hellman, Martin E.
1970
Chosen-key attacks on a block cipher. Zbl 0654.94008
Winternitz, Robert; Hellman, Martin
1987
Optimal finite memory learning algorithms for the finite sample problem. Zbl 0332.62017
Cover, Thomas M.; Freedman, Michael A.; Hellman, Martin E.
1976
Fast computation of discrete logarithms in $$\mathrm{GF}(q)$$. Zbl 0514.94013
Hellman, Martin E.; Reyneri, Justin M.
1983
On memory saved by randomization. Zbl 0218.62027
Hellman, M. E.; Cover, T. M.
1971
A review of recent results on learning with finite memory. Zbl 0279.68066
Hellman, M. E.; Cover, T. M.
1973
Amirazizi, Hamid R.; Hellman, Martin E.
1988
A note on Wyner’s wiretap channel. Zbl 0353.94025
Carleial, Aydano B.; Hellman, Martin E.
1977
Concerning a bound on undetected error probability. Zbl 0318.94018
Leung-Yan-Cheong, S. K.; Hellman, Martin E.
1976
Hypothesis testing with finite memory in finite time. Zbl 0239.62023
Flower, Richard A.; Hellman, Martin E.
1972
The effects of randomization of finite-memory decision schemes. Zbl 0236.62023
Hellman, Martin E.
1972
Über Automaten in einer zufälligen Umgebung. Zbl 0284.94019
Hellman, M. E.; Cover, T. M.
1970
Finite-memory hypothesis testing. Comments on a critique. Zbl 0204.52102
Cover, Thomas M.; Hellman, Martin E.
1970
Differential-linear cryptanalysis. Zbl 0939.94524
Langford, Susan K.; Hellman, Martin E.
1994
Amirazizi, Hamid R.; Hellman, Martin E.
1988
Chosen-key attacks on a block cipher. Zbl 0654.94008
Winternitz, Robert; Hellman, Martin
1987
On secret sharing systems. Zbl 0503.94018
Karnin, Ehud D.; Greene, Jonathan W.; Hellman, Martin E.
1983
Fast computation of discrete logarithms in $$\mathrm{GF}(q)$$. Zbl 0514.94013
Hellman, Martin E.; Reyneri, Justin M.
1983
A cryptanalytic time-memory trade-off. Zbl 0436.94016
Hellman, Martin E.
1980
An improved algorithm for computing logarithms over GF(p) and its cryptographic significance. Zbl 0375.68023
Pohlig, Stephen C.; Hellman, Martin E.
1978
The Gaussian wire-tap channel. Zbl 0384.94014
Leung-Yan-Cheong, S. K.; Hellman, Martin E.
1978
An extension of the Shannon theory approach to cryptography. Zbl 0362.94030
Hellman, Martin E.
1977
A note on Wyner’s wiretap channel. Zbl 0353.94025
Carleial, Aydano B.; Hellman, Martin E.
1977
New directions in cryptography. Zbl 0435.94018
Diffie, Whitfield; Hellman, Martin E.
1976
Optimal finite memory learning algorithms for the finite sample problem. Zbl 0332.62017
Cover, Thomas M.; Freedman, Michael A.; Hellman, Martin E.
1976
Concerning a bound on undetected error probability. Zbl 0318.94018
Leung-Yan-Cheong, S. K.; Hellman, Martin E.
1976
Bistable behavior of ALOHA-type systems. Zbl 0347.94002
Carleial, Aydano B.; Hellman, Martin E.
1975
A review of recent results on learning with finite memory. Zbl 0279.68066
Hellman, M. E.; Cover, T. M.
1973
Hypothesis testing with finite memory in finite time. Zbl 0239.62023
Flower, Richard A.; Hellman, Martin E.
1972
The effects of randomization of finite-memory decision schemes. Zbl 0236.62023
Hellman, Martin E.
1972
On memory saved by randomization. Zbl 0218.62027
Hellman, M. E.; Cover, T. M.
1971
Probability of error, equivocation and the Chernoff bound. Zbl 0218.62005
Hellman, M. E.; Raviv, J.
1970
Learning with finite memory. Zbl 0198.52803
Hellman, Martin E.; Cover, Thomas M.
1970
The nearest neighboor classification rule with a reject option. Zbl 0204.52201
Hellman, Martin E.
1970
The two-armed-bandit problem with time-invariant finite memory. Zbl 0193.47802
Cover, Thomas M.; Hellman, Martin E.
1970
Über Automaten in einer zufälligen Umgebung. Zbl 0284.94019
Hellman, M. E.; Cover, T. M.
1970
Finite-memory hypothesis testing. Comments on a critique. Zbl 0204.52102
Cover, Thomas M.; Hellman, Martin E.
1970
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#### Cited by 1,652 Authors

 14 Chang, Chin-Chen 10 De Santis, Alfredo 10 Padró, Carles 10 Yoo, Keeyoung 9 Hong, Jin 9 Menezes, Alfred J. 8 Blundo, Carlo 8 Hwang, Min-Shiang 8 Wu, Tzong-Sun 7 Brassard, Gilles 7 Dunkelman, Orr 7 Farràs, Oriol 7 Hsu, Chien-Lung 7 Lee, Cheng-Chi 7 Lin, Han-Yu 7 Lou, Der-Chyuan 7 Maurer, Ueli M. 7 Shao, Zuhua 7 Vaccaro, Ugo 7 Wu, Chialong 6 Gennaro, Rosario 6 Joye, Marc 6 Keller, Nathan 6 Shamir, Adi 6 Wang, Ping 6 Wu, Tzong-Chen 6 Zhang, Fangguo 5 Biham, Eli 5 Cao, Zhenfu 5 Dinur, Itai 5 Koblitz, Neal I. 5 López-Ramos, Juan Antonio 5 Mu, Yi 5 Stinson, Douglas Robert 5 Sun, Hung-Min 5 Susilo, Willy 5 Teske, Edlyn 5 Vanstone, Scott Alexander 5 Wang, Huaxiong 5 Wu, Chuankun 5 Yung, Moti 4 Beimel, Amos 4 Biswas, G. P. 4 Blake, Ian F. 4 Boyd, Colin A. 4 Buchmann, Johannes A. 4 Catalano, Dario 4 Chang, Ting-Yi 4 Choo, Kim-Kwang Raymond 4 Fidanova, Stefka 4 Garefalakis, Theodoulos 4 Hazay, Carmit 4 Imai, Hideki 4 Kapetanakis, Giorgos 4 Katz, Jonathan N. 4 Kurosawa, Kaoru 4 Laih, Chi-Sung 4 Lange, Tanja 4 Laskari, E. C. 4 Li, Chun-Ta 4 Martí-Farré, Jaume 4 Meletiou, Gerasimos C. 4 Nikolenko, Sergey I. 4 Panario, Daniel 4 Scheidler, Renate 4 Shoup, Victor 4 Stein, Andreas 4 Sun, Zhi-Wei 4 Vaudenay, Serge 4 Venturi, Daniele 4 Vrahatis, Michael N. 4 Weng, Annegret 4 Williams, Hugh Cowie 4 Xiong, Hu 4 Xu, Guang-Bao 4 Yang, Yuguang 4 Zamora, Antonio 4 Zhuang, Jincheng 3 Abdalla, Michel 3 Álvarez, Rafael 3 Andreeva, Elena Anatol’evna 3 Balasubramaniam, Pagavathigounder 3 Bhagvati, Chakravarthy 3 Boneh, Dan 3 Chang, Te-Jen 3 Chang, Yan 3 Chen, Kefei 3 Chen, Shihua 3 Chen, Zhong 3 Cheng, Qi 3 Cheon, Jung Hee 3 Chevalier, Céline 3 Climent, Joan-Josep 3 Damgård, Ivan Bjerre 3 Desmedt, Yvo G. 3 Dodis, Yevgeniy 3 Domingo-Ferrer, Josep 3 Feng, Dengguo 3 Hohenberger, Susan 3 Jan, Jinnke ...and 1,552 more Authors
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#### Cited in 173 Serials

 70 Journal of Cryptology 59 Applied Mathematics and Computation 49 Designs, Codes and Cryptography 45 Information Sciences 43 Information Processing Letters 35 Theoretical Computer Science 24 Mathematics of Computation 23 International Journal of Computer Mathematics 23 Journal of Discrete Mathematical Sciences & Cryptography 21 Journal of Computer and System Sciences 18 Computers & Mathematics with Applications 18 Quantum Information Processing 14 Discrete Applied Mathematics 13 International Journal of Theoretical Physics 12 Applicable Algebra in Engineering, Communication and Computing 12 Journal of Mathematical Cryptology 10 Information and Computation 10 Pattern Recognition 10 Finite Fields and their Applications 10 Advances in Mathematics of Communications 9 Wuhan University Journal of Natural Sciences (WUJNS) 8 Mathematical and Computer Modelling 7 Science China. Information Sciences 6 Games and Economic Behavior 6 Cybernetics and Systems Analysis 6 Nonlinear Dynamics 6 Journal of Applied Mathematics 6 Cryptography and Communications 5 Computing 5 Acta Applicandae Mathematicae 5 Journal of Symbolic Computation 5 Entropy 5 Science in China. Series F 4 Journal of Computational and Applied Mathematics 4 Kybernetika 4 Algorithmica 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Journal of Mathematical Sciences (New York) 4 LMS Journal of Computation and Mathematics 4 International Journal of Quantum Information 3 BIT 3 Fuzzy Sets and Systems 3 Cryptologia 3 Journal of Complexity 3 Journal of Computer Science and Technology 3 Discrete Mathematics and Applications 3 Linear Algebra and its Applications 3 Computational Complexity 3 Soft Computing 3 Chaos 3 International Journal of Modern Physics C 3 BIT. Nordisk Tidskrift for Informationsbehandling 3 Mathematics in Computer Science 3 Groups, Complexity, Cryptology 3 Symmetry 2 Discrete Mathematics 2 Journal of the Franklin Institute 2 Journal of Mathematical Analysis and Applications 2 Journal of Mathematical Physics 2 Problems of Information Transmission 2 Reviews of Modern Physics 2 The Mathematical Intelligencer 2 The Annals of Statistics 2 International Journal of Computer & Information Sciences 2 Journal of Number Theory 2 Journal of Pure and Applied Algebra 2 Proceedings of the American Mathematical Society 2 Semigroup Forum 2 Journal of Automated Reasoning 2 International Journal of Approximate Reasoning 2 Journal of Parallel and Distributed Computing 2 International Journal of Foundations of Computer Science 2 Elemente der Mathematik 2 Distributed Computing 2 Chinese Science Bulletin 2 Tatra Mountains Mathematical Publications 2 Communications in Nonlinear Science and Numerical Simulation 2 Sādhanā 2 Journal of Zhejiang University. Science A 1 International Journal of Modern Physics B 1 Artificial Intelligence 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Computer Physics Communications 1 International Journal of General Systems 1 International Journal of Systems Science 1 Israel Journal of Mathematics 1 Mathematical Methods in the Applied Sciences 1 Mathematical Notes 1 Mathematische Semesterberichte 1 Periodica Mathematica Hungarica 1 Stochastics 1 Chaos, Solitons and Fractals 1 Beiträge zur Algebra und Geometrie 1 Algebra and Logic 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Algebra 1 Journal of Soviet Mathematics 1 Journal of Statistical Planning and Inference 1 Mathematics and Computers in Simulation ...and 73 more Serials
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#### Cited in 37 Fields

 750 Information and communication theory, circuits (94-XX) 328 Computer science (68-XX) 174 Number theory (11-XX) 76 Algebraic geometry (14-XX) 59 Quantum theory (81-XX) 27 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 24 Combinatorics (05-XX) 21 Field theory and polynomials (12-XX) 21 Statistics (62-XX) 15 Group theory and generalizations (20-XX) 15 Dynamical systems and ergodic theory (37-XX) 15 Operations research, mathematical programming (90-XX) 13 Numerical analysis (65-XX) 8 Probability theory and stochastic processes (60-XX) 8 Systems theory; control (93-XX) 6 Associative rings and algebras (16-XX) 5 History and biography (01-XX) 4 Mathematical logic and foundations (03-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Category theory; homological algebra (18-XX) 3 Special functions (33-XX) 3 Ordinary differential equations (34-XX) 3 Biology and other natural sciences (92-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Optics, electromagnetic theory (78-XX) 1 General and overarching topics; collections (00-XX) 1 General algebraic systems (08-XX) 1 Commutative algebra (13-XX) 1 $$K$$-theory (19-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Mathematics education (97-XX)

#### Wikidata Timeline

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