Edit Profile (opens in new tab) Doche, Christophe Co-Author Distance Author ID: doche.christophe Published as: Doche, Christophe; Doche, C. Documents Indexed: 20 Publications since 2000, including 1 Book 1 Further Contribution Co-Authors: 17 Co-Authors with 15 Joint Publications 390 Co-Co-Authors all top 5 Co-Authors 6 single-authored 4 Mendès France, Michel 2 Habsieger, Laurent 2 Kohel, David R. 2 Lange, Tanja 2 Sica, Francesco 2 Sutantyo, Daniel 1 Ahmadi, Omran 1 Avanzi, Robero M. 1 Avanzi, Roberto Maria 1 Ball, L. Simeon 1 Bernstein, Daniel Julius 1 Blache, Régis 1 Blake, Ian F. 1 Blokhuis, Aart 1 Carlet, Claude 1 Castro, Francis Noel 1 Chand Gupta, Kishan 1 Charpin, Pascale 1 Cioabă, Sebastian M. 1 Cohen, Henri 1 Cohen, Stephen D. 1 Colbourn, Charles J. 1 Coulter, Robert S. 1 de Smit, Bart 1 Dimitrov, Vassil S. 1 Ding, Jintai 1 Dinitz, Jeffrey H. 1 Dumas, Jean-Guillaume 1 Ebert, Gary Lee 1 Effinger, Gove W. 1 Enge, Andreas 1 Evans, Ronald J. 1 Fan, Haining 1 Fitzgerald, Robert W. 1 Frey, Gerhard 1 Fried, Michael David 1 Fu, Lei 1 Gao, Shuhong 1 Garaev, Moubariz Z. 1 Garcia, Arnaldo 1 Giesbrecht, Mark W. 1 Gong, Guang 1 Goss, David Mark 1 Gow, Roderick 1 Hachenberger, Dirk 1 Hasan, M. Anwar 1 Helleseth, Tor 1 Hinkelmann, Franziska 1 Hirschfeld, James William Peter 1 Hou, Xiang-Dong 1 Huffman, W. Cary 1 Icart, Thomas 1 Imbert, Laurent 1 Jacobson, Michael John jun. 1 Jedwab, Jonathan 1 Jolfaei, Alireza 1 Jungnickel, Dieter 1 Kaltofen, Erich L. 1 Kholosha, Alexander 1 Kyuregyan, Melsik K. 1 Laubenbacher, Reinhard C. 1 Lecerf, Grégoire 1 Lenstra, Hendrik W. jun. 1 Liao, Qunying 1 Lidl, Rudolf 1 Litsyn, Simon N. 1 McGuire, Gary 1 Mehrabi, Mohamad Ali 1 Meidl, Wilfried 1 Menezes, Alfred J. 1 Mullen, Gary L. 1 Murty, Kumar 1 Murty, Maruti Ram 1 Niederreiter, Harald 1 Odlyzko, Andrew M. 1 Ostafe, Alina 1 Panario, Daniel 1 Pernet, Clément 1 Pott, Alexander 1 Rojas-León, Antonio 1 Rötteler, Martin 1 Rubio, Ivelisse M. 1 Ruch, Jean-Jacques 1 Scheidler, Renate 1 Schmidt, Kai-Uwe 1 Shparlinski, Igor E. 1 Silverman, Joseph Hillel 1 Stevens, Brett 1 Stichtenoth, Henning 1 Storme, Leo 1 Takeshita, Oscar Yassuo 1 Thas, Joseph Adolphe 1 Thériault, Nicolas 1 Thomson, David George 1 Vercauteren, Frederik 1 Voloch, José Felipe 1 von zur Gathen, Joachim 1 Wan, Daqing 1 Wan, Zhexian 1 Wang, Qiang (Steven) ...and 2 more Co-Authors all top 5 Serials 2 Mathematics of Computation 2 IEEE Transactions on Computers 2 Discrete Mathematics and its Applications 1 Acta Arithmetica 1 Functiones et Approximatio. Commentarii Mathematici 1 Experimental Mathematics 1 Journal de Théorie des Nombres de Bordeaux 1 The Journal of Fourier Analysis and Applications all top 5 Fields 14 Number theory (11-XX) 12 Information and communication theory, circuits (94-XX) 6 Algebraic geometry (14-XX) 4 Field theory and polynomials (12-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 1 Combinatorics (05-XX) 1 Convex and discrete geometry (52-XX) 1 Differential geometry (53-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 17 Publications have been cited 286 times in 237 Documents Cited by ▼ Year ▼ Handbook of finite fields. Zbl 1319.11001 196 2013 Handbook of elliptic and hyperelliptic curve cryptography. Zbl 1082.94001 Cohen, Henri; Frey, Gerhard; Avanzi, Robero M.; Doche, Christophe; Lange, Tanja; Nguyen, Kim; Vercauteren, Frederik 186 2006 Efficient scalar multiplication by isogeny decompositions. Zbl 1151.94506 Doche, Christophe; Icart, Thomas; Kohel, David R. 21 2006 Extended double-base number system with applications to elliptic curve cryptography. Zbl 1175.94076 Doche, Christophe; Imbert, Laurent 16 2006 Extending scalar multiplication using double bases. Zbl 1172.94558 Avanzi, Roberto; Dimitrov, Vassil; Doche, Christophe; Sica, Francesco 16 2006 Double-base number system for multi-scalar multiplications. Zbl 1239.94046 Doche, Christophe; Kohel, David R.; Sica, Francesco 10 2009 Moments of the Rudin-Shapiro polynomials. Zbl 1161.11315 Doche, Christophe; Habsieger, Laurent 8 2004 Even moments of generalized Rudin-Shapiro polynomials. Zbl 1072.11020 Doche, Christophe 6 2005 A tree-based approach for computing double-base chains. Zbl 1370.94507 Doche, Christophe; Habsieger, Laurent 5 2008 On the spectrum of the Zhang-Zagier height. Zbl 0960.11047 Doche, Christophe 4 2001 On the real roots of generalized Thue-Morse polynomials. Zbl 1020.11017 Doche, Christophe 3 2001 Redundant trinomials for finite fields of characteristic 2. Zbl 1127.94344 Doche, Christophe 3 2005 Equidistribution modulo 1 and Salem numbers. Zbl 1211.11091 Doche, Christophe; Mendès France, Michel; Ruch, Jean-Jacques 2 2008 Zhang-Zagier heights of perturbed polynomials. Zbl 1046.11076 Doche, Christophe 2 2001 On the enumeration of double-base chains with applications to elliptic curve cryptography. Zbl 1306.94049 Doche, Christophe 2 2014 Integral geometry and real zeros of Thue-Morse polynomials. Zbl 0976.52005 Doche, Christophe; Mendès France, Michel 1 2000 New and improved methods to analyze and compute double-scalar multiplications. Zbl 1364.94533 Doche, Christophe; Sutantyo, Daniel 1 2014 On the enumeration of double-base chains with applications to elliptic curve cryptography. Zbl 1306.94049 Doche, Christophe 2 2014 New and improved methods to analyze and compute double-scalar multiplications. Zbl 1364.94533 Doche, Christophe; Sutantyo, Daniel 1 2014 Handbook of finite fields. Zbl 1319.11001 196 2013 Double-base number system for multi-scalar multiplications. Zbl 1239.94046 Doche, Christophe; Kohel, David R.; Sica, Francesco 10 2009 A tree-based approach for computing double-base chains. Zbl 1370.94507 Doche, Christophe; Habsieger, Laurent 5 2008 Equidistribution modulo 1 and Salem numbers. Zbl 1211.11091 Doche, Christophe; Mendès France, Michel; Ruch, Jean-Jacques 2 2008 Handbook of elliptic and hyperelliptic curve cryptography. Zbl 1082.94001 Cohen, Henri; Frey, Gerhard; Avanzi, Robero M.; Doche, Christophe; Lange, Tanja; Nguyen, Kim; Vercauteren, Frederik 186 2006 Efficient scalar multiplication by isogeny decompositions. Zbl 1151.94506 Doche, Christophe; Icart, Thomas; Kohel, David R. 21 2006 Extended double-base number system with applications to elliptic curve cryptography. Zbl 1175.94076 Doche, Christophe; Imbert, Laurent 16 2006 Extending scalar multiplication using double bases. Zbl 1172.94558 Avanzi, Roberto; Dimitrov, Vassil; Doche, Christophe; Sica, Francesco 16 2006 Even moments of generalized Rudin-Shapiro polynomials. Zbl 1072.11020 Doche, Christophe 6 2005 Redundant trinomials for finite fields of characteristic 2. Zbl 1127.94344 Doche, Christophe 3 2005 Moments of the Rudin-Shapiro polynomials. Zbl 1161.11315 Doche, Christophe; Habsieger, Laurent 8 2004 On the spectrum of the Zhang-Zagier height. Zbl 0960.11047 Doche, Christophe 4 2001 On the real roots of generalized Thue-Morse polynomials. Zbl 1020.11017 Doche, Christophe 3 2001 Zhang-Zagier heights of perturbed polynomials. Zbl 1046.11076 Doche, Christophe 2 2001 Integral geometry and real zeros of Thue-Morse polynomials. Zbl 0976.52005 Doche, Christophe; Mendès France, Michel 1 2000 all cited Publications top 5 cited Publications all top 5 Cited by 357 Authors 9 Galbraith, Steven D. 9 Tsyganov, Andreĭ Vladimirovich 7 Sutherland, Andrew V. 6 Erdélyi, Tamás 6 Shparlinski, Igor E. 5 Bröker, Reinier 5 Doche, Christophe 5 Duquesne, Sylvain 5 Fan, Xinxin 5 Gaudry, Pierrick 5 Hubrechts, Hendrik 5 Lange, Tanja 5 Lubicz, David 5 Yao, David D. W. 4 Bernstein, Daniel Julius 4 El Mrabet, Nadia 4 Farashahi, Reza Rezaeian 4 Fouotsa, Emmanuel 4 Frey, Gerhard 4 Gong, Guang 4 Jacobson, Michael John jun. 4 Lauter, Kristin Estella 4 Ozdemir, Enver 4 Ritzenthaler, Christophe 4 Robert, Damien 4 Yu, Wei 3 Benits, Waldyr Dias jun. 3 Dimitrov, Vassil S. 3 Dominguez Perez, Luis J. 3 Kohel, David R. 3 Lin, Xibin 3 Moody, Dustin 3 Pujolàs, Jordi 3 Rodríguez-Henríquez, Francisco 3 Sica, Francesco 3 Zhang, Fangguo 2 Abelard, Simon 2 Amiel, Frederic 2 Avanzi, Roberto Maria 2 Benger, Naomi 2 Birkner, Peter 2 Carter, Gary 2 Castryck, Wouter 2 Charlemagne, Manuel 2 Chirskiĭ, Vladimir Grigor’evich 2 Dawson, Edward 2 Enge, Andreas 2 Feix, Benoit 2 Fontein, Felix 2 Gorla, Elisa 2 Grebnev, S. V. 2 Gutierrez, Jaime 2 Hisil, Huseyin 2 Kachisa, Ezekiel J. 2 Kani, Ernst J. 2 Kolesnikov, N. S. 2 Krenn, Daniel 2 Lee, Hyangsook 2 Lercier, Reynald 2 López, Julio E. 2 Massierer, Maike 2 Matveev, Vladimir Yur’evich 2 Miret, Josep M. 2 Mishra, Pradeep Kumar 2 Nogami, Yasuyuki 2 Novoselov, S. A. 2 Riquelme, Edgardo 2 Scheidler, Renate 2 Scholl, Travis 2 Sidorenko, Andrey 2 Stein, Andreas 2 Suppakitpaisarn, Vorapong 2 Thériault, Nicolas 2 Valera, Javier 2 Vercauteren, Frederik 2 Wang, Kunpeng 2 Wong, Kenneth Koon-Ho 2 Wu, Hongfeng 2 Xu, Maozhi 1 Abarzúa, Rodrigo 1 Abdurahmonov, Tursun 1 Akleylek, Sedat 1 Al Musa, Saud 1 Alcazar, Juan Gerardo 1 Allouche, Jean-Paul Simon 1 Alsaedi, Ramzi S. N. 1 Anupindi, Vishnupriya 1 Aranha, Diego F. 1 Arène, Christophe 1 Asif, Shahzad 1 Barat, Guy 1 Barua, Rana 1 Batina, Lejla 1 Bauer, Aurélie 1 Belding, Juliana V. 1 Ben-Sasson, Eli 1 Berthé, Valérie 1 Beuchat, Jean-Luc 1 Bhagvati, Chakravarthy 1 Biedl, Therese C. ...and 257 more Authors all top 5 Cited in 73 Serials 17 Mathematics of Computation 15 Designs, Codes and Cryptography 9 Information Processing Letters 6 Journal of Number Theory 6 LMS Journal of Computation and Mathematics 5 Journal of Symbolic Computation 5 Finite Fields and their Applications 5 Cryptography and Communications 4 Journal of Mathematical Physics 4 Proceedings of the American Mathematical Society 4 Journal of Cryptology 4 Applicable Algebra in Engineering, Communication and Computing 4 Journal of Mathematical Cryptology 4 Advances in Mathematics of Communications 3 Theoretical Computer Science 3 Journal of Complexity 3 Foundations of Computational Mathematics 3 International Journal of Number Theory 3 Matematicheskie Voprosy Kriptografii 2 Theoretical and Mathematical Physics 2 Journal of Algebra 2 International Journal of Computer Mathematics 2 Journal of Mathematical Sciences (New York) 2 Journal of Discrete Mathematical Sciences & Cryptography 2 Quantum Information Processing 2 Chebyshevskiĭ Sbornik 2 Mathematics in Computer Science 2 JSIAM Letters 2 Prikladnaya Diskretnaya Matematika 1 Computers & Mathematics with Applications 1 Discrete Applied Mathematics 1 Journal d’Analyse Mathématique 1 Journal of Mathematical Analysis and Applications 1 Moscow University Mathematics Bulletin 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Journal of Computational and Applied Mathematics 1 Mathematika 1 Proceedings of the Japan Academy. Series A 1 Ricerche di Matematica 1 Cryptologia 1 Advances in Applied Mathematics 1 Circuits, Systems, and Signal Processing 1 Acta Mathematica Hungarica 1 Acta Applicandae Mathematicae 1 Computer Aided Geometric Design 1 Constructive Approximation 1 Algorithmica 1 Discrete & Computational Geometry 1 Experimental Mathematics 1 Tatra Mountains Mathematical Publications 1 Journal de Théorie des Nombres de Bordeaux 1 Annales Mathématiques Blaise Pascal 1 Advances in Computational Mathematics 1 Arab Journal of Mathematical Sciences 1 Mathematical Problems in Engineering 1 The Ramanujan Journal 1 Journal of Integer Sequences 1 Interdisciplinary Information Sciences (IIS) 1 Entropy 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Journal of Applied Mathematics and Computing 1 Bulletin of the Brazilian Mathematical Society. New Series 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Mediterranean Journal of Mathematics 1 Algebra & Number Theory 1 Groups, Complexity, Cryptology 1 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 1 Russian Journal of Nonlinear Dynamics all top 5 Cited in 22 Fields 152 Number theory (11-XX) 131 Algebraic geometry (14-XX) 122 Information and communication theory, circuits (94-XX) 30 Computer science (68-XX) 10 Dynamical systems and ergodic theory (37-XX) 9 Mechanics of particles and systems (70-XX) 6 Field theory and polynomials (12-XX) 6 Functions of a complex variable (30-XX) 4 Commutative algebra (13-XX) 4 Numerical analysis (65-XX) 3 Combinatorics (05-XX) 3 Group theory and generalizations (20-XX) 3 Quantum theory (81-XX) 2 Associative rings and algebras (16-XX) 2 Difference and functional equations (39-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Convex and discrete geometry (52-XX) 1 Real functions (26-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Probability theory and stochastic processes (60-XX) Citations by Year