Edit Profile (opens in new tab) Stein, Andreas Co-Author Distance Author ID: stein.andreas Published as: Stein, Andreas; Stein, A. External Links: MGP Documents Indexed: 36 Publications since 1991, including 1 Book and 3 Additional arXiv Preprints 2 Contributions as Editor Reviewing Activity: 13 Reviews Co-Authors: 23 Co-Authors with 29 Joint Publications 504 Co-Co-Authors all top 5 Co-Authors 6 single-authored 9 Jacobson, Michael John jun. 9 Scheidler, Renate 4 Teske, Edlyn 4 Williams, Hugh Cowie 2 Erickson, Stefan 2 Menezes, Alfred J. 2 van der Poorten, Alfred J. 1 Enge, Andreas 1 Günther, Christian 1 Haji-Al, Abdul-Lateef 1 Hess, Florian 1 Hoang, Viet Ha 1 Koblitz, Neal I. 1 Landquist, Eric 1 Lange, Tanja 1 Lochter, Manfred 1 Müller, Volker 1 Paulus, Sachar Manfred 1 Shang, Ning 1 Shen, Shuo 1 Silverman, Joseph Hillel 1 Spreckels, Ute 1 Stein, Sandra 1 Thiel, Christoph 1 Velichka, M. D. 1 Zimmer, Horst Günter all top 5 Serials 7 Mathematics of Computation 3 Journal of the Ramanujan Mathematical Society 2 Designs, Codes and Cryptography 2 Advances in Mathematics of Communications 1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) 1 Rocky Mountain Journal of Mathematics 1 Glasnik Matematički. Serija III 1 Experimental Mathematics 1 Tatra Mountains Mathematical Publications 1 Journal de Théorie des Nombres de Bordeaux 1 Contributions to Discrete Mathematics 1 Fields Institute Communications 1 Lecture Notes in Computer Science all top 5 Fields 32 Number theory (11-XX) 17 Algebraic geometry (14-XX) 16 Information and communication theory, circuits (94-XX) 2 General and overarching topics; collections (00-XX) 2 Numerical analysis (65-XX) 1 Field theory and polynomials (12-XX) 1 Partial differential equations (35-XX) 1 Probability theory and stochastic processes (60-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 154 times in 84 Documents Cited by ▼ Year ▼ Computing discrete logarithms in real quadratic congruence function fields of large genus. Zbl 1036.11064 Müller, Volker; Stein, Andreas; Thiel, Christoph 17 1999 Key-exchange in real quadratic congruence function fields. Zbl 0851.94021 Scheidler, R.; Stein, A.; Williams, Hugh C. 15 1996 Analysis of the Xedni calculus attack. Zbl 0948.11048 Jacobson, Michael J.; Koblitz, Neal; Silverman, Joseph H.; Stein, Andreas; Teske, Edlyn 10 2000 Explicit bounds and heuristics on class numbers in hyperelliptic function fields. Zbl 0992.11068 Stein, Andreas; Teske, Edlyn 10 2002 Some methods for evaluating the regulator of a real quadratic function field. Zbl 0987.11071 Stein, Andreas; Williams, Hugh C. 9 1999 The parallelized Pollard kangaroo method in real quadratic function fields. Zbl 0992.11069 Stein, Andreas; Teske, Edlyn 8 2002 Speeding up the arithmetic on Koblitz curves of genus two. Zbl 0976.94014 Günther, Christian; Lange, Tanja; Stein, Andreas 7 2001 Computing discrete logarithms in the Jacobian of high-genus hyperelliptic curves over even characteristic finite fields. Zbl 1285.14031 Velichka, M. D.; Jacobson, M. J. jun.; Stein, A. 7 2014 Equivalences between elliptic curves and real quadratic congruence function fields. Zbl 0899.11054 Stein, Andreas 6 1997 Hyperelliptic curves and cryptography. Zbl 1098.94023 Jacobson, Michael jun.; Menezes, Alfred; Stein, Andreas 6 2004 Cryptographic protocols on real hyperelliptic curves. Zbl 1207.94056 Jacobson, M. J.; Scheidler, R.; Stein, A. 6 2007 Voronoi’s algorithm in purely cubic congruence function fields of unit rank 1. Zbl 1042.11068 Scheidler, R.; Stein, A. 5 2000 Explicit infrastructure for real quadratic function fields and real hyperelliptic curves. Zbl 1243.11109 Stein, Andreas 4 2009 An algorithm for determining the regulator and the fundamental unit of a hyperelliptic congruence function field. Zbl 0925.11054 Stein, Andreas; Zimmer, Horst Günter 4 1991 Solving elliptic curve discrete logarithm problems using Weil descent. Zbl 1017.11030 Jacobson, Michael; Menezes, Alfred; Stein, Andreas 4 2001 Cryptographic aspects of real hyperelliptic curves. Zbl 1287.94075 Jacobson, Michael J. jun.; Scheidler, Renate; Stein, Andreas 4 2010 Fast arithmetic on hyperelliptic curves via continued fraction expansions. Zbl 1132.14306 Jacobson, M. J. jun.; Scheidler, R.; Stein, A. 4 2007 Explicit primality criteria for \((p-1) p^n-1\). Zbl 1018.11062 Stein, Andreas; Williams, H. C. 3 2000 Algorithms in real-quadratic congruence function fields. (Algorithmen in reell-quadratischen Kongruenzfunktionenkörpern.) Zbl 0997.11511 Stein, Andreas 3 1996 An improved method of computing the regulator of a real quadratic function field. Zbl 0935.11048 Stein, Andreas; Williams, Hugh C. 3 1998 Smooth ideals in hyperelliptic function fields. Zbl 1021.11030 Enge, Andreas; Stein, Andreas 2 2002 Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves. Zbl 0935.11052 Paulus, Sachar; Stein, Andreas 2 1998 Unit computation in purely cubic function fields of unit rank 1. Zbl 0935.11051 Scheidler, Renate; Stein, Andreas 2 1998 Optimized baby step-giant step methods. Zbl 1122.11086 Stein, Andreas; Teske, Edlyn 2 2005 High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams. Selected papers from the international conference on number theory, Banff, AB, Canada, May 24–30, 2003. Zbl 1051.11008 2 2004 Explicit formulas for real hyperelliptic curves of genus 2 in affine representation. Zbl 1251.94027 Erickson, Stefan; Jacobson, Michael J. jun.; Stein, Andreas 2 2011 Explicit formulas for real hyperelliptic curves of genus 2 in affine representation. Zbl 1222.14050 Erickson, Stefan; Jacobson, Michael J. jun.; Shang, Ning; Shen, Shuo; Stein, Andreas 2 2007 Elliptic congruence function fields. Zbl 0899.11055 Stein, Andreas 1 1996 The magic of elliptic curves and public-key cryptography. Zbl 1273.94349 Heß, Florian; Stein, Andreas; Stein, Sandra; Lochter, Manfred 1 2012 Approximating Euler products and class number computation in algebraic function fields. Zbl 1222.11139 Scheidler, Renate; Stein, Andreas 1 2010 Algorithmic number theory. 8th international symposium, ANTS-VIII Banff, Canada, May 17–22, 2008 Proceedings. Zbl 1136.11003 1 2008 Class number approximation in cubic function fields. Zbl 1239.11133 Scheidler, Renate; Stein, Andreas 1 2007 Computing discrete logarithms in the Jacobian of high-genus hyperelliptic curves over even characteristic finite fields. Zbl 1285.14031 Velichka, M. D.; Jacobson, M. J. jun.; Stein, A. 7 2014 The magic of elliptic curves and public-key cryptography. Zbl 1273.94349 Heß, Florian; Stein, Andreas; Stein, Sandra; Lochter, Manfred 1 2012 Explicit formulas for real hyperelliptic curves of genus 2 in affine representation. Zbl 1251.94027 Erickson, Stefan; Jacobson, Michael J. jun.; Stein, Andreas 2 2011 Cryptographic aspects of real hyperelliptic curves. Zbl 1287.94075 Jacobson, Michael J. jun.; Scheidler, Renate; Stein, Andreas 4 2010 Approximating Euler products and class number computation in algebraic function fields. Zbl 1222.11139 Scheidler, Renate; Stein, Andreas 1 2010 Explicit infrastructure for real quadratic function fields and real hyperelliptic curves. Zbl 1243.11109 Stein, Andreas 4 2009 Algorithmic number theory. 8th international symposium, ANTS-VIII Banff, Canada, May 17–22, 2008 Proceedings. Zbl 1136.11003 1 2008 Cryptographic protocols on real hyperelliptic curves. Zbl 1207.94056 Jacobson, M. J.; Scheidler, R.; Stein, A. 6 2007 Fast arithmetic on hyperelliptic curves via continued fraction expansions. Zbl 1132.14306 Jacobson, M. J. jun.; Scheidler, R.; Stein, A. 4 2007 Explicit formulas for real hyperelliptic curves of genus 2 in affine representation. Zbl 1222.14050 Erickson, Stefan; Jacobson, Michael J. jun.; Shang, Ning; Shen, Shuo; Stein, Andreas 2 2007 Class number approximation in cubic function fields. Zbl 1239.11133 Scheidler, Renate; Stein, Andreas 1 2007 Optimized baby step-giant step methods. Zbl 1122.11086 Stein, Andreas; Teske, Edlyn 2 2005 Hyperelliptic curves and cryptography. Zbl 1098.94023 Jacobson, Michael jun.; Menezes, Alfred; Stein, Andreas 6 2004 High primes and misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams. Selected papers from the international conference on number theory, Banff, AB, Canada, May 24–30, 2003. Zbl 1051.11008 2 2004 Explicit bounds and heuristics on class numbers in hyperelliptic function fields. Zbl 0992.11068 Stein, Andreas; Teske, Edlyn 10 2002 The parallelized Pollard kangaroo method in real quadratic function fields. Zbl 0992.11069 Stein, Andreas; Teske, Edlyn 8 2002 Smooth ideals in hyperelliptic function fields. Zbl 1021.11030 Enge, Andreas; Stein, Andreas 2 2002 Speeding up the arithmetic on Koblitz curves of genus two. Zbl 0976.94014 Günther, Christian; Lange, Tanja; Stein, Andreas 7 2001 Solving elliptic curve discrete logarithm problems using Weil descent. Zbl 1017.11030 Jacobson, Michael; Menezes, Alfred; Stein, Andreas 4 2001 Analysis of the Xedni calculus attack. Zbl 0948.11048 Jacobson, Michael J.; Koblitz, Neal; Silverman, Joseph H.; Stein, Andreas; Teske, Edlyn 10 2000 Voronoi’s algorithm in purely cubic congruence function fields of unit rank 1. Zbl 1042.11068 Scheidler, R.; Stein, A. 5 2000 Explicit primality criteria for \((p-1) p^n-1\). Zbl 1018.11062 Stein, Andreas; Williams, H. C. 3 2000 Computing discrete logarithms in real quadratic congruence function fields of large genus. Zbl 1036.11064 Müller, Volker; Stein, Andreas; Thiel, Christoph 17 1999 Some methods for evaluating the regulator of a real quadratic function field. Zbl 0987.11071 Stein, Andreas; Williams, Hugh C. 9 1999 An improved method of computing the regulator of a real quadratic function field. Zbl 0935.11048 Stein, Andreas; Williams, Hugh C. 3 1998 Comparing real and imaginary arithmetics for divisor class groups of hyperelliptic curves. Zbl 0935.11052 Paulus, Sachar; Stein, Andreas 2 1998 Unit computation in purely cubic function fields of unit rank 1. Zbl 0935.11051 Scheidler, Renate; Stein, Andreas 2 1998 Equivalences between elliptic curves and real quadratic congruence function fields. Zbl 0899.11054 Stein, Andreas 6 1997 Key-exchange in real quadratic congruence function fields. Zbl 0851.94021 Scheidler, R.; Stein, A.; Williams, Hugh C. 15 1996 Algorithms in real-quadratic congruence function fields. (Algorithmen in reell-quadratischen Kongruenzfunktionenkörpern.) Zbl 0997.11511 Stein, Andreas 3 1996 Elliptic congruence function fields. Zbl 0899.11055 Stein, Andreas 1 1996 An algorithm for determining the regulator and the fundamental unit of a hyperelliptic congruence function field. Zbl 0925.11054 Stein, Andreas; Zimmer, Horst Günter 4 1991 all cited Publications top 5 cited Publications all top 5 Cited by 104 Authors 12 Scheidler, Renate 10 Stein, Andreas 9 Jacobson, Michael John jun. 5 Galbraith, Steven D. 5 Gaudry, Pierrick 4 Enge, Andreas 4 Lee, Yoonjin 4 Teske, Edlyn 3 Bauer, Mark L. 3 Menezes, Alfred J. 3 Paulus, Sachar Manfred 3 Williams, Hugh Cowie 2 Diem, Claus 2 Koblitz, Neal I. 2 Rezai Rad, Monireh 2 Rodríguez-Henríquez, Francisco 2 Sarkar, Palash 2 Shparlinski, Igor E. 2 Smart, Nigel Paul 2 Sutherland, Andrew V. 2 Thomé, Emmanuel 2 Weng, Annegret 1 Anupindi, Vishnupriya 1 Avanzi, Roberto Maria 1 Aygin, Zafer Selçuk 1 Basiri, Abdolali 1 Becerra, Nicolás 1 Bellare, Mihir 1 Benits, Waldyr Dias jun. 1 Bernstein, Daniel Julius 1 Biasse, Jean-François 1 Cervantes-Vázquez, Daniel 1 Cheon, Jung Hee 1 Chi-Domínguez, Jesús-Javier 1 Chuang, Chih-Yun 1 Costello, Craig 1 Couveignes, Jean-Marc 1 Dai, Wei 1 Deng, Yingpu 1 Dutta, Debasish 1 Eren, Tamer 1 Espinosa-Garcia, Joaquin 1 Faugère, Jean-Charles 1 Flassenberg, Ralf 1 Fontein, Felix 1 Friesen, Christian 1 Garefalakis, Theodoulos 1 Gorla, Elisa 1 Grau, José María 1 Gürel, Nicolas 1 Hahn, Sang Geun 1 Hakuta, Keisuke 1 Hess, Florian 1 Hibner Koblitz, Ann 1 Hindes, Wade 1 Hossen, Md. Sharif 1 Im, Bo-Hae 1 Jirón, Ivan 1 Jones, Rafe 1 Kim, Hwan Joon 1 Kuan, Yen-Liang 1 Kubokawa, Tatsuya 1 Labrande, Hugo 1 Lange, Tanja 1 Lauter, Kristin Estella 1 López, Julio E. 1 Lv, Chang 1 Massierer, Maike 1 McKee, James F. 1 Mihăilescu, Preda 1 Müller, Volker 1 Muñoz Masqué, Jaime 1 Muştu, Settar 1 Novoselov, S. A. 1 Oliveira, Thomaz 1 Oller-Marcén, Antonio M. 1 Panario, Daniel 1 Pappalardi, Francesco 1 Raskind, Wayne 1 Rassias, Michael Th. 1 Roettger, Eric L. 1 Rück, Hans-Georg 1 Sadornil, Daniel 1 Salam, Taspia 1 Sato, Hisayoshi 1 Silverman, Joseph Hillel 1 Sorenson, Jonathan P. 1 Srivastava, Muni Shanker 1 Takagi, Tsuyoshi 1 Thériault, Nicolas 1 Thiel, Christoph 1 Uchida, Yukihiro 1 van der Poorten, Alfred J. 1 Velichka, M. D. 1 Wang, Mingqiang 1 Weimer, Daniel 1 Wittmann, Christian 1 Wu, Qingquan 1 Xue, Haiyang 1 Yan, Songyuan ...and 4 more Authors all top 5 Cited in 36 Serials 21 Mathematics of Computation 4 Designs, Codes and Cryptography 3 Journal of Cryptology 3 Journal de Théorie des Nombres de Bordeaux 3 Advances in Mathematics of Communications 2 Discrete Applied Mathematics 2 Journal of Algebra 2 Journal of Number Theory 2 Applicable Algebra in Engineering, Communication and Computing 2 Experimental Mathematics 2 Finite Fields and their Applications 2 LMS Journal of Computation and Mathematics 2 International Journal of Number Theory 2 INFOR: Information Systems and Operational Research 1 Rocky Mountain Journal of Mathematics 1 The Annals of Statistics 1 Manuscripta Mathematica 1 Monatshefte für Mathematik 1 Proceedings of the Japan Academy. Series A 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Journal of Symbolic Computation 1 Journal of Complexity 1 International Journal of Computer Mathematics 1 Tatra Mountains Mathematical Publications 1 Taiwanese Journal of Mathematics 1 International Journal of Communication Systems 1 Integers 1 Journal of the Australian Mathematical Society 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Journal of Discrete Algorithms 1 Uniform Distribution Theory 1 Science China. Information Sciences 1 JSIAM Letters 1 Prikladnaya Diskretnaya Matematika all top 5 Cited in 12 Fields 72 Number theory (11-XX) 50 Algebraic geometry (14-XX) 36 Information and communication theory, circuits (94-XX) 10 Computer science (68-XX) 3 Commutative algebra (13-XX) 2 History and biography (01-XX) 2 Quantum theory (81-XX) 2 Operations research, mathematical programming (90-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Statistics (62-XX) Citations by Year