Edit Profile (opens in new tab) Diem, Claus Co-Author Distance Author ID: diem.claus Published as: Diem, Claus; Diem, C. Documents Indexed: 22 Publications since 2001, including 2 Books and 1 Additional arXiv Preprint Co-Authors: 11 Co-Authors with 7 Joint Publications 279 Co-Co-Authors all top 5 Co-Authors 15 single-authored 2 Scholten, Jasper 2 Thomé, Emmanuel 1 Bouw, Irene I. 1 Frey, Gerhard 1 Gaudry, Pierrick 1 Kleinjung, Thorsten 1 Lenstra, Arjen K. 1 Naumann, Niko 1 Priplata, Christine 1 Stahlke, Colin 1 Thériault, Nicolas all top 5 Serials 2 Mathematics of Computation 2 Journal of the Ramanujan Mathematical Society 1 Israel Journal of Mathematics 1 Collectanea Mathematica 1 Compositio Mathematica 1 Journal of Algebra 1 Journal of Number Theory 1 Manuscripta Mathematica 1 Journal of Cryptology 1 Journal de Théorie des Nombres de Bordeaux 1 Bulletin of the European Association for Theoretical Computer Science EATCS 1 LMS Journal of Computation and Mathematics 1 Algebra & Number Theory all top 5 Fields 16 Number theory (11-XX) 16 Algebraic geometry (14-XX) 8 Information and communication theory, circuits (94-XX) 5 Computer science (68-XX) 2 Commutative algebra (13-XX) 1 General and overarching topics; collections (00-XX) 1 Field theory and polynomials (12-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 211 times in 135 Documents Cited by ▼ Year ▼ A double large prime variation for small genus hyperelliptic index calculus. Zbl 1179.94062 Gaudry, P.; Thomé, E.; Thériault, N.; Diem, C. 46 2007 On the discrete logarithm problem in elliptic curves. Zbl 1213.11200 Diem, Claus 27 2011 An index calculus algorithm for plane curves of small degree. Zbl 1143.11361 Diem, Claus 25 2006 The GHS attack in odd characteristic. Zbl 1041.94010 Diem, Claus 14 2003 The XL-algorithm and a conjecture from commutative algebra. Zbl 1094.94029 Diem, Claus 14 2004 Index calculus in class groups of non-hyperelliptic curves of genus three. Zbl 1167.11047 Diem, Claus; Thomé, Emmanuel 13 2008 On the discrete logarithm problem in class groups of curves. Zbl 1231.11142 Diem, Claus 10 2011 On the use of expansion series for stream ciphers. Zbl 1344.11086 Diem, Claus 10 2012 On the structure of Weil restrictions of abelian varieties. Zbl 1080.14536 Diem, Claus; Naumann, Niko 8 2003 Computation of a 768-bit prime field discrete logarithm. Zbl 1411.11135 Kleinjung, Thorsten; Diem, Claus; Lenstra, Arjen K.; Priplata, Christine; Stahlke, Colin 8 2017 On arithmetic and the discrete logarithm problem in class groups of curves. Zbl 1358.11002 Diem, Claus 7 2009 On the discrete logarithm problem in elliptic curves. II. Zbl 1300.11132 Diem, Claus 7 2013 A study on theoretical and practical aspects of Weil-restrictions of varieties. Zbl 0985.14011 Diem, Claus 5 2001 Ordinary elliptic curves of high rank over \(\overline{\mathbb F}_p(x)\) with constant \(j\)-invariant. Zbl 1128.11029 Bouw, Irene I.; Diem, Claus; Scholten, Jasper 5 2004 Bounded regularity. Zbl 1304.13024 Diem, Claus 3 2015 On the discrete logarithm problem for plane curves. Zbl 1270.11128 Diem, Claus 3 2012 Families of elliptic curves with genus 2 covers of degree 2. Zbl 1100.14023 Diem, Claus 2 2006 On the notion of bit complexity. Zbl 1258.68057 Diem, Claus 2 2011 Ordinary elliptic curves of high rank over \(\bar {\mathbb F}_{p}(x)\) with constant \(j\)-invariant. II. Zbl 1190.11033 Diem, Claus; Scholten, Jasper 1 2007 Non-constant curves of genus 2 with infinite pro-Galois covers. Zbl 1153.14025 Diem, Claus; Frey, Gerhard 1 2008 Computation of a 768-bit prime field discrete logarithm. Zbl 1411.11135 Kleinjung, Thorsten; Diem, Claus; Lenstra, Arjen K.; Priplata, Christine; Stahlke, Colin 8 2017 Bounded regularity. Zbl 1304.13024 Diem, Claus 3 2015 On the discrete logarithm problem in elliptic curves. II. Zbl 1300.11132 Diem, Claus 7 2013 On the use of expansion series for stream ciphers. Zbl 1344.11086 Diem, Claus 10 2012 On the discrete logarithm problem for plane curves. Zbl 1270.11128 Diem, Claus 3 2012 On the discrete logarithm problem in elliptic curves. Zbl 1213.11200 Diem, Claus 27 2011 On the discrete logarithm problem in class groups of curves. Zbl 1231.11142 Diem, Claus 10 2011 On the notion of bit complexity. Zbl 1258.68057 Diem, Claus 2 2011 On arithmetic and the discrete logarithm problem in class groups of curves. Zbl 1358.11002 Diem, Claus 7 2009 Index calculus in class groups of non-hyperelliptic curves of genus three. Zbl 1167.11047 Diem, Claus; Thomé, Emmanuel 13 2008 Non-constant curves of genus 2 with infinite pro-Galois covers. Zbl 1153.14025 Diem, Claus; Frey, Gerhard 1 2008 A double large prime variation for small genus hyperelliptic index calculus. Zbl 1179.94062 Gaudry, P.; Thomé, E.; Thériault, N.; Diem, C. 46 2007 Ordinary elliptic curves of high rank over \(\bar {\mathbb F}_{p}(x)\) with constant \(j\)-invariant. II. Zbl 1190.11033 Diem, Claus; Scholten, Jasper 1 2007 An index calculus algorithm for plane curves of small degree. Zbl 1143.11361 Diem, Claus 25 2006 Families of elliptic curves with genus 2 covers of degree 2. Zbl 1100.14023 Diem, Claus 2 2006 The XL-algorithm and a conjecture from commutative algebra. Zbl 1094.94029 Diem, Claus 14 2004 Ordinary elliptic curves of high rank over \(\overline{\mathbb F}_p(x)\) with constant \(j\)-invariant. Zbl 1128.11029 Bouw, Irene I.; Diem, Claus; Scholten, Jasper 5 2004 The GHS attack in odd characteristic. Zbl 1041.94010 Diem, Claus 14 2003 On the structure of Weil restrictions of abelian varieties. Zbl 1080.14536 Diem, Claus; Naumann, Niko 8 2003 A study on theoretical and practical aspects of Weil-restrictions of varieties. Zbl 0985.14011 Diem, Claus 5 2001 all cited Publications top 5 cited Publications all top 5 Cited by 209 Authors 7 Diem, Claus 6 Galbraith, Steven D. 6 Gaudry, Pierrick 5 Kleinjung, Thorsten 5 Mérai, László 5 Thomé, Emmanuel 5 Winterhof, Arne 4 Frey, Gerhard 4 Granger, Robert A. 4 Menezes, Alfred J. 4 Novoselov, S. A. 4 Petit, Christophe 4 Thériault, Nicolas 4 Tian, Song 4 Vitse, Vanessa 3 Costello, Craig 3 Faugère, Jean-Charles 3 Gorla, Elisa 3 Guillevic, Aurore 3 Huang, Ming-Deh A. 3 Ionica, Sorina 3 Kani, Ernst J. 3 Kosters, Michiel 3 Lauter, Kristin Estella 3 Massierer, Maike 3 Oyono, Roger 3 Silverberg, Alice 3 Wesolowski, Benjamin 3 Yeo, Sze Ling 3 Zumbrägel, Jens 2 Barbulescu, Razvan 2 Ding, Jintai 2 Gomez-Perez, Domingo 2 Hodges, Timothy J. 2 Höfer, Richard M. 2 Jacobson, Michael John jun. 2 Joux, Antoine 2 Koblitz, Neal I. 2 Li, Bao 2 Molina, Sergio D. 2 Niederreiter, Harald 2 Popoli, Pierre 2 Renault, Guénaël 2 Rubin, Karl Cooper 2 Sarkar, Palash 2 Stein, Andreas 2 Takagi, Tsuyoshi 2 Takahashi, Yasushi 2 Wallet, Alexandre 2 Wang, Kunpeng 2 Yasuda, Masaya 2 Yu, Wei 1 Achter, Jeffrey D. 1 Albrecht, Martin R. 1 Alekseev, Evgeny K. 1 Allouche, Jean-Paul Simon 1 Amadori, Alessandro 1 Apon, Daniel 1 Aumasson, Jean-Philippe 1 Avanzi, Roberto Maria 1 Balakrishnan, Jennifer S. 1 Berbain, Côme 1 Bootsma, Sven 1 Bos, Joppe W. 1 Boudot, Fabrice 1 Bruin, Peter 1 Bruin, Pieter 1 Canetti, Ran 1 Chand Gupta, Kishan 1 Chao, Jinhui 1 Chen, Ming-shing 1 Chen, Yilei 1 Chi-Domínguez, Jesús-Javier 1 Chu, Huah 1 Cid, Carlos Frederico 1 Costa, Edgar 1 Dai, Yu 1 Demirkiran, Cevahir 1 Deng, Yingpu 1 Dequen, Gilles 1 Dina, Bogdan Adrian 1 Dokchitser, Tim 1 Dokchitser, Vladimir 1 Duquesne, Sylvain 1 Enge, Andreas 1 Espinosa-Garcia, Joaquin 1 Euler, Marie 1 Fan, XiuBin 1 Feng, Dengguo 1 Feng, Xiutao 1 Freeman, David Mandell 1 Gallet, Matteo 1 Gebregiyorgis, Shishay W. 1 Gerbicz, Robert 1 Gilbert, Henri 1 Gomez, Ana Isabel 1 Grémy, Laurent 1 Han, Guangguo 1 Han, Guo-Niu 1 Harvey, David ...and 109 more Authors all top 5 Cited in 35 Serials 11 Mathematics of Computation 11 Journal of Cryptology 10 Designs, Codes and Cryptography 9 Finite Fields and their Applications 6 Journal of Mathematical Cryptology 5 Journal of Symbolic Computation 4 Journal of Algebra 4 Journal of Number Theory 4 Advances in Mathematics of Communications 4 Cryptography and Communications 2 Discrete Applied Mathematics 2 Israel Journal of Mathematics 2 Theoretical Computer Science 2 Transactions of the American Mathematical Society 2 Applicable Algebra in Engineering, Communication and Computing 2 Journal de Théorie des Nombres de Bordeaux 2 LMS Journal of Computation and Mathematics 2 Prikladnaya Diskretnaya Matematika 2 Matematicheskie Voprosy Kriptografii 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Acta Applicandae Mathematicae 1 Journal of the American Mathematical Society 1 Japan Journal of Industrial and Applied Mathematics 1 Experimental Mathematics 1 Tatra Mountains Mathematical Publications 1 Bulletin des Sciences Mathématiques 1 Mathematical Problems in Engineering 1 The Ramanujan Journal 1 Annals of Mathematics. Second Series 1 Acta Mathematica Sinica. English Series 1 International Journal of Number Theory 1 Uniform Distribution Theory 1 Annales Mathématiques du Québec 1 Pacific Journal of Mathematics for Industry all top 5 Cited in 13 Fields 95 Number theory (11-XX) 82 Information and communication theory, circuits (94-XX) 75 Algebraic geometry (14-XX) 16 Commutative algebra (13-XX) 14 Computer science (68-XX) 5 Quantum theory (81-XX) 2 Associative rings and algebras (16-XX) 1 History and biography (01-XX) 1 Field theory and polynomials (12-XX) 1 Special functions (33-XX) 1 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Statistics (62-XX) Citations by Year