Edit Profile Ritzenthaler, Christophe Compute Distance To: Compute Author ID: ritzenthaler.christophe Published as: Ritzenthaler, C.; Ritzenthaler, Christophe Documents Indexed: 39 Publications since 2002, including 3 Books Reviewing Activity: 100 Reviews Biographic References: 1 Publication all top 5 Co-Authors 5 single-authored 8 Lercier, Reynald 7 Sijsling, Jeroen 6 Nart, Enric 4 Howe, Everett W. 4 Lachaud, Gilles 3 Kohel, David R. 2 Arène, Christophe 2 Aubry, Yves 2 Oyono, Roger 2 Rovetta, Florent 2 Zykin, Alexey 1 Ballet, Stéphane 1 Bassa, Alp 1 Basson, Romain 1 Beauville, Arnaud 1 Elkies, Noam David 1 Flon, Stéphane 1 Galbraith, Steven D. 1 Gaudry, Pierrick 1 Girard, Martine 1 Houtmann, T. 1 Kılıçer, Pınar 1 Labrande, Hugo 1 Lange, Tanja 1 Lehavi, David 1 Maisner, Daniel 1 Müller, Jürgen 1 Naehrig, Michael 1 Pujolàs, Jordi 1 Rolland, Robert 1 Romagny, Matthieu 1 Smith, Benjamin H. 1 Smith, Benjamin T. 1 Streng, Marco 1 Tsfasman, Michael A. 1 Weng, Aizhi 1 Zykin, A. I. all top 5 Serials 3 LMS Journal of Computation and Mathematics 3 Contemporary Mathematics 2 Acta Arithmetica 2 Journal of Algebra 2 Journal of Number Theory 2 Mathematische Annalen 2 Experimental Mathematics 2 Mathematical Research Letters 1 Mathematics of Computation 1 Annales de l’Institut Fourier 1 Bulletin of the London Mathematical Society 1 Manuscripta Mathematica 1 Proceedings of the American Mathematical Society 1 Discrete & Computational Geometry 1 Finite Fields and their Applications 1 Doklady Mathematics 1 JP Journal of Algebra, Number Theory and Applications 1 Journal of Mathematical Cryptology 1 Épijournal de Géométrie Algébrique. EPIGA all top 5 Fields 35 Algebraic geometry (14-XX) 29 Number theory (11-XX) 5 Commutative algebra (13-XX) 3 General and overarching topics; collections (00-XX) 3 Information and communication theory, circuits (94-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 28 Publications have been cited 150 times in 113 Documents Cited by ▼ Year ▼ Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. Zbl 1276.14088Lercier, Reynald; Ritzenthaler, Christophe 20 2012 The 2-adic CM method for genus 2 curves with application to cryptography. Zbl 1172.94576Gaudry, P.; Houtmann, T.; Kohel, D.; Ritzenthaler, C.; Weng, A. 17 2006 Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe 11 2009 Faster computation of the Tate pairing. Zbl 1222.14069Arène, Christophe; Lange, Tanja; Naehrig, Michael; Ritzenthaler, Christophe 10 2011 Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Zbl 1343.14047Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen 9 2016 Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent. Zbl 1344.11049Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen 8 2013 Fast addition on non-hyperelliptic genus 3 curves. Zbl 1151.14313Flon, Stéphane; Oyono, Roger; Ritzenthaler, Christophe 7 2008 Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields. Zbl 1333.14060Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen 6 2014 An explicit expression of the Lüroth invariant. Zbl 1360.68915Basson, Romain; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen 6 2013 Jacobians among Abel threefolds: a formula of Klein and a question of Serre. Zbl 1228.14028Lachaud, Gilles; Ritzenthaler, Christophe; Zykin, Alexey 6 2010 On the existence of dimension zero divisors in algebraic function fields defined over \(\mathbb F_q\). Zbl 1211.11129Ballet, S.; Ritzenthaler, C.; Rolland, R. 6 2010 Plane quartics over \(\mathbb {Q}\) with complex multiplication. Zbl 1409.14051Kılıçer, Pınar; Labrande, Hugo; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen; Streng, Marco 5 2018 Distortion maps for supersingular genus two curves. Zbl 1232.11075Galbraith, Steven D.; Pujolàs, Jordi; Ritzenthaler, Christophe; Smith, Benjamin 5 2009 Explicit computations of Serre’s obstruction for genus-3 curves and application to optimal curves. Zbl 1278.11068Ritzenthaler, Christophe 4 2010 Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2. Zbl 1159.14023Nart, Enric; Ritzenthaler, Christophe 4 2008 Point counting on genus 3 non hyperelliptic curves. Zbl 1125.11331Ritzenthaler, Christophe 4 2004 Genus bounds for curves with fixed Frobenius eigenvalues. Zbl 1286.14035Elkies, Noam D.; Howe, Everett W.; Ritzenthaler, Christophe 3 2014 On some questions of Serre on abelian threefolds. Zbl 1151.14321Lachaud, Gilles; Ritzenthaler, Christophe 3 2008 Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe 3 2008 An explicit formula for the arithmetic-geometric mean in genus 3. Zbl 1131.14038Lehavi, D.; Ritzenthaler, C. 3 2007 Non-hyperelliptic curves of genus three over finite fields of characteristic two. Zbl 1102.14019Nart, Enric; Ritzenthaler, Christophe 3 2006 On the Prym variety of genus 3 covers of genus 1 curves. Zbl 07003743Ritzenthaler, Christophe; Romagny, Matthieu 1 2018 Optimal curves of genus 1, 2 and 3. Zbl 1283.11093Ritzenthaler, Christophe 1 2011 Jacobians among abelian threefolds: a geometric approach. Zbl 1228.14027Beauville, Arnaud; Ritzenthaler, Christophe 1 2011 Genus 3 curves with many involutions and application to maximal curves in characteristic 2. Zbl 1219.14036Nart, Enric; Ritzenthaler, Christophe 1 2010 On the ring of invariants of ordinary quartic curves in characteristic 2. Zbl 1105.14081Müller, Jürgen; Ritzenthaler, Christophe 1 2006 Automorphism group of \(C:y^3+x^4+1=0\) in characteristic \(p\). Zbl 1078.14038Ritzenthaler, Christophe 1 2004 Automorphisms of modular curves \(X(n)\) in characterictic \(p\). Zbl 1052.11043Ritzenthaler, Christophe 1 2002 Plane quartics over \(\mathbb {Q}\) with complex multiplication. Zbl 1409.14051Kılıçer, Pınar; Labrande, Hugo; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen; Streng, Marco 5 2018 On the Prym variety of genus 3 covers of genus 1 curves. Zbl 07003743Ritzenthaler, Christophe; Romagny, Matthieu 1 2018 Explicit Galois obstruction and descent for hyperelliptic curves with tamely cyclic reduced automorphism group. Zbl 1343.14047Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen 9 2016 Parametrizing the moduli space of curves and applications to smooth plane quartics over finite fields. Zbl 1333.14060Lercier, Reynald; Ritzenthaler, Christophe; Rovetta, Florent; Sijsling, Jeroen 6 2014 Genus bounds for curves with fixed Frobenius eigenvalues. Zbl 1286.14035Elkies, Noam D.; Howe, Everett W.; Ritzenthaler, Christophe 3 2014 Fast computation of isomorphisms of hyperelliptic curves and explicit Galois descent. Zbl 1344.11049Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen 8 2013 An explicit expression of the Lüroth invariant. Zbl 1360.68915Basson, Romain; Lercier, Reynald; Ritzenthaler, Christophe; Sijsling, Jeroen 6 2013 Hyperelliptic curves and their invariants: geometric, arithmetic and algorithmic aspects. Zbl 1276.14088Lercier, Reynald; Ritzenthaler, Christophe 20 2012 Faster computation of the Tate pairing. Zbl 1222.14069Arène, Christophe; Lange, Tanja; Naehrig, Michael; Ritzenthaler, Christophe 10 2011 Optimal curves of genus 1, 2 and 3. Zbl 1283.11093Ritzenthaler, Christophe 1 2011 Jacobians among abelian threefolds: a geometric approach. Zbl 1228.14027Beauville, Arnaud; Ritzenthaler, Christophe 1 2011 Jacobians among Abel threefolds: a formula of Klein and a question of Serre. Zbl 1228.14028Lachaud, Gilles; Ritzenthaler, Christophe; Zykin, Alexey 6 2010 On the existence of dimension zero divisors in algebraic function fields defined over \(\mathbb F_q\). Zbl 1211.11129Ballet, S.; Ritzenthaler, C.; Rolland, R. 6 2010 Explicit computations of Serre’s obstruction for genus-3 curves and application to optimal curves. Zbl 1278.11068Ritzenthaler, Christophe 4 2010 Genus 3 curves with many involutions and application to maximal curves in characteristic 2. Zbl 1219.14036Nart, Enric; Ritzenthaler, Christophe 1 2010 Jacobians in isogeny classes of abelian surfaces over finite fields. Zbl 1236.11058Howe, Everett W.; Nart, Enric; Ritzenthaler, Christophe 11 2009 Distortion maps for supersingular genus two curves. Zbl 1232.11075Galbraith, Steven D.; Pujolàs, Jordi; Ritzenthaler, Christophe; Smith, Benjamin 5 2009 Fast addition on non-hyperelliptic genus 3 curves. Zbl 1151.14313Flon, Stéphane; Oyono, Roger; Ritzenthaler, Christophe 7 2008 Jacobians in isogeny classes of supersingular abelian threefolds in characteristic 2. Zbl 1159.14023Nart, Enric; Ritzenthaler, Christophe 4 2008 On some questions of Serre on abelian threefolds. Zbl 1151.14321Lachaud, Gilles; Ritzenthaler, Christophe 3 2008 Principally polarizable isogeny classes of Abelian surfaces over finite fields. Zbl 1145.11045Howe, Everett W.; Maisner, Daniel; Nart, Enric; Ritzenthaler, Christophe 3 2008 An explicit formula for the arithmetic-geometric mean in genus 3. Zbl 1131.14038Lehavi, D.; Ritzenthaler, C. 3 2007 The 2-adic CM method for genus 2 curves with application to cryptography. Zbl 1172.94576Gaudry, P.; Houtmann, T.; Kohel, D.; Ritzenthaler, C.; Weng, A. 17 2006 Non-hyperelliptic curves of genus three over finite fields of characteristic two. Zbl 1102.14019Nart, Enric; Ritzenthaler, Christophe 3 2006 On the ring of invariants of ordinary quartic curves in characteristic 2. Zbl 1105.14081Müller, Jürgen; Ritzenthaler, Christophe 1 2006 Point counting on genus 3 non hyperelliptic curves. Zbl 1125.11331Ritzenthaler, Christophe 4 2004 Automorphism group of \(C:y^3+x^4+1=0\) in characteristic \(p\). Zbl 1078.14038Ritzenthaler, Christophe 1 2004 Automorphisms of modular curves \(X(n)\) in characterictic \(p\). Zbl 1052.11043Ritzenthaler, Christophe 1 2002 all cited Publications top 5 cited Publications all top 5 Cited by 171 Authors 14 Ritzenthaler, Christophe 9 Lauter, Kristin Estella 8 Lercier, Reynald 6 Sijsling, Jeroen 6 Streng, Marco 5 Howe, Everett W. 5 Lorenzo García, Elisa 4 Costello, Craig 4 Kılıçer, Pınar 4 Nart, Enric 4 Olive, Marc 4 Zaytsev, Alexey 3 Ballet, Stéphane 3 Haloui, Safia 3 Lubicz, David 3 McGuire, Gary 3 Robert, Damien 3 Shaska, Tanush 2 Aubry, Yves 2 Badr, Eslam E. 2 Bars Cortina, Francesc 2 Bröker, Reinier 2 Frey, Gerhard 2 Hidalgo, Rubén Antonio 2 Hisil, Huseyin 2 Humphries, Peter J. 2 Ionica, Sorina 2 Karemaker, Valentijn 2 Kolev, Boris 2 Lange, Tanja 2 Le, Duc-Phong 2 Li, Wanlin 2 Milio, Enea 2 Oyono, Roger 2 Pieltant, Julia 2 Pries, Rachel J. 2 Rovetta, Florent 2 Tan, Chik How 2 Thomé, Emmanuel 2 Wu, Hongfeng 2 Yang, Tonghai 1 Achter, Jeffrey D. 1 Alekseenko, Ekaterina 1 Aleshnikov, S. I. 1 Aranha, Diego F. 1 Arias-de-Reyna, Sara 1 Armana, Cécile 1 Artebani, Michela 1 Atighehchi, Kévin 1 Auffray, Nicolas 1 Ballico, Edoardo 1 Beauville, Arnaud 1 Berardini, Elena 1 Bernstein, Daniel Julius 1 Beshaj, Lubjana 1 Beuchat, Jean-Luc 1 Bonnecaze, Alexis 1 Bos, Joppe W. 1 Bose, Sownak 1 Bouyer, Florian 1 Breiding, Paul 1 Bremner, Murray R. 1 Brooks, Ernest Hunter 1 Bruce, Juliette 1 Carls, Robert 1 Caruso, Xavier 1 Castro, Francis Noel 1 Couveignes, Jean-Marc 1 de Jong, Robin 1 Deines-Schartz, Alyson 1 Desmorat, Boris 1 Desmorat, Rodrigue 1 Detrey, Jérémie 1 Diem, Claus 1 El Mrabet, Nadia 1 Elkies, Noam David 1 Elsenhans, Andreas-Stephan 1 Enge, Andreas 1 Estibals, Nicolas 1 Feng, Rongquan 1 Fouotsa, Emmanuel 1 Fuertes, Yolanda 1 Fukasawa, Satoru 1 Ghanmi, Allal 1 González-Diez, Gabino 1 González, Oscar E. 1 Guàrdia, Jordi 1 Guest, Scott 1 Gundry, James 1 Han, Jingxuan 1 Hauenstein, Jonathan D. 1 He, Xiaoyang 1 He, Yang-Hui Evariste 1 Herbaut, Fabien 1 Hu, Jiaxiong 1 Ichikawa, Takashi 1 Intissar, Ahmed 1 Jacobson, Michael John jun. 1 Jetchev, Dimitar P. 1 Kališnik Verovšek, Sara ...and 71 more Authors all top 5 Cited in 44 Serials 9 Journal of Number Theory 8 Mathematics of Computation 8 Finite Fields and their Applications 7 LMS Journal of Computation and Mathematics 5 Proceedings of the American Mathematical Society 4 Journal of Algebra 4 Journal of Symbolic Computation 4 Journal of Cryptology 4 Research in Number Theory 3 Journal of Pure and Applied Algebra 3 Designs, Codes and Cryptography 3 Applicable Algebra in Engineering, Communication and Computing 3 International Journal of Number Theory 2 Acta Arithmetica 2 Archiv der Mathematik 2 Compositio Mathematica 2 Michigan Mathematical Journal 2 Journal of Complexity 2 Experimental Mathematics 2 Mathematics in Computer Science 1 Archive for Rational Mechanics and Analysis 1 Bulletin of the Australian Mathematical Society 1 Journal of Mathematical Physics 1 Annales de l’Institut Fourier 1 Canadian Journal of Mathematics 1 Functiones et Approximatio. Commentarii Mathematici 1 Mathematische Annalen 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Discrete & Computational Geometry 1 Journal of Elasticity 1 Tatra Mountains Mathematical Publications 1 Arab Journal of Mathematical Sciences 1 Mathematical Problems in Engineering 1 The Ramanujan Journal 1 Soft Computing 1 Wuhan University Journal of Natural Sciences (WUJNS) 1 Revista Matemática Complutense 1 Journal of High Energy Physics 1 Nihonkai Mathematical Journal 1 Foundations of Computational Mathematics 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Advances in Mathematics of Communications 1 Asian-European Journal of Mathematics 1 Cryptography and Communications all top 5 Cited in 19 Fields 93 Algebraic geometry (14-XX) 63 Number theory (11-XX) 20 Information and communication theory, circuits (94-XX) 9 Commutative algebra (13-XX) 6 Field theory and polynomials (12-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Numerical analysis (65-XX) 4 Computer science (68-XX) 3 Functions of a complex variable (30-XX) 2 Mechanics of deformable solids (74-XX) 1 Combinatorics (05-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Ordinary differential equations (34-XX) 1 Functional analysis (46-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Quantum theory (81-XX) Citations by Year