Edit Profile (opens in new tab) Kawazoe, Mitsuru Co-Author Distance Author ID: kawazoe.mitsuru Published as: Kawazoe, Mitsuru Documents Indexed: 12 Publications since 1995 Co-Authors: 16 Co-Authors with 7 Joint Publications 323 Co-Co-Authors all top 5 Co-Authors 5 single-authored 4 Takahashi, Tetsuya 2 Imai, Hideki 2 Sugita, Makoto 1 Ars, Gwénolé 1 Comuta, Aya 1 Faugère, Jean-Charles 1 Fukui, Tetsuo 1 Furukawa, Eisaku 1 Haneda, Mitsuhiro 1 Kato, Katsuya 1 Nakahara, Takahiro 1 Nakamura, Yasuyuki 1 Perret, Ludovic 1 Shirai, Shizuka 1 Taniguchi, Tetsuya 1 Yoshitomi, Kentaro Serials 1 Archiv der Mathematik 1 Journal of Mathematics of Kyoto University 1 Journal of Pure and Applied Algebra 1 Mathematische Annalen 1 International Journal of Mathematics all top 5 Fields 7 Algebraic geometry (14-XX) 6 Information and communication theory, circuits (94-XX) 4 Computer science (68-XX) 3 Number theory (11-XX) 2 Several complex variables and analytic spaces (32-XX) 1 Commutative algebra (13-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 10 Publications have been cited 58 times in 46 Documents Cited by ▼ Year ▼ Comparison between XL and Gröbner basis algorithms. Zbl 1094.94024Ars, Gwénolé; Faugère, Jean-Charles; Imai, Hideki; Kawazoe, Mitsuru; Sugita, Makoto 20 2004 Counting points for hyperelliptic curves of type \(y^2= x^5+ ax\) over finite prime fields. Zbl 1081.94023Furukawa, Eisaku; Kawazoe, Mitsuru; Takahashi, Tetsuya 12 2004 Pairing-friendly hyperelliptic curves with ordinary Jacobians of type \(y ^{2} = x ^{5} + ax\). Zbl 1186.94454Kawazoe, Mitsuru; Takahashi, Tetsuya 7 2008 Algebraic cryptanalysis of 58-round SHA-1. Zbl 1186.94472Sugita, Makoto; Kawazoe, Mitsuru; Perret, Ludovic; Imai, Hideki 6 2007 Suitable curves for genus-4 HCC over prime fields: Point counting formulae for hyperelliptic curves of type \(y^{2}= x^{2 k +1}+ ax\). Zbl 1084.94016Haneda, Mitsuhiro; Kawazoe, Mitsuru; Takahashi, Tetsuya 5 2005 Multiple supersingular elliptic fibers on elliptic surfaces. Zbl 1093.14054Kawazoe, Mitsuru 2 2006 A criterion for algebraicity of certain analytic elliptic surfaces. Zbl 0835.14014Kawazoe, Mitsuru 2 1995 Multiple fibers on elliptic surfaces in positive characteristic. Zbl 0970.14020Kawazoe, Mitsuru 2 2000 Pairing-friendly elliptic curves with small security loss by Cheon’s algorithm. Zbl 1337.94028Comuta, Aya; Kawazoe, Mitsuru; Takahashi, Tetsuya 1 2007 A note on purely inseparable morphisms from an elliptic ruled surface. Zbl 1024.14018Kawazoe, Mitsuru 1 2000 Pairing-friendly hyperelliptic curves with ordinary Jacobians of type \(y ^{2} = x ^{5} + ax\). Zbl 1186.94454Kawazoe, Mitsuru; Takahashi, Tetsuya 7 2008 Algebraic cryptanalysis of 58-round SHA-1. Zbl 1186.94472Sugita, Makoto; Kawazoe, Mitsuru; Perret, Ludovic; Imai, Hideki 6 2007 Pairing-friendly elliptic curves with small security loss by Cheon’s algorithm. Zbl 1337.94028Comuta, Aya; Kawazoe, Mitsuru; Takahashi, Tetsuya 1 2007 Multiple supersingular elliptic fibers on elliptic surfaces. Zbl 1093.14054Kawazoe, Mitsuru 2 2006 Suitable curves for genus-4 HCC over prime fields: Point counting formulae for hyperelliptic curves of type \(y^{2}= x^{2 k +1}+ ax\). Zbl 1084.94016Haneda, Mitsuhiro; Kawazoe, Mitsuru; Takahashi, Tetsuya 5 2005 Comparison between XL and Gröbner basis algorithms. Zbl 1094.94024Ars, Gwénolé; Faugère, Jean-Charles; Imai, Hideki; Kawazoe, Mitsuru; Sugita, Makoto 20 2004 Counting points for hyperelliptic curves of type \(y^2= x^5+ ax\) over finite prime fields. Zbl 1081.94023Furukawa, Eisaku; Kawazoe, Mitsuru; Takahashi, Tetsuya 12 2004 Multiple fibers on elliptic surfaces in positive characteristic. Zbl 0970.14020Kawazoe, Mitsuru 2 2000 A note on purely inseparable morphisms from an elliptic ruled surface. Zbl 1024.14018Kawazoe, Mitsuru 1 2000 A criterion for algebraicity of certain analytic elliptic surfaces. Zbl 0835.14014Kawazoe, Mitsuru 2 1995 all cited Publications top 5 cited Publications all top 5 Cited by 92 Authors 3 Ding, Jintai 3 Faugère, Jean-Charles 3 Mitsui, Kentaro 3 Perret, Ludovic 2 Albrecht, Martin R. 2 Baena, John Bayron 2 Berbain, Côme 2 Clough, Crystal Lee 2 Fouque, Pierre-Alain 2 Gilbert, Henri 2 Hu, Zhi 2 Kawazoe, Mitsuru 2 Lauter, Kristin Estella 2 Novoselov, S. A. 2 Patarin, Jacques 2 Satoh, Takakazu 1 Achter, Jeffrey D. 1 Bardet, Magali 1 Bellini, Emanuele 1 Bettale, Luk 1 Biham, Eli 1 Bos, Joppe W. 1 Boudjou, Hortense 1 Bouillaguet, Charles 1 Briaud, Pierre 1 Bros, Maxime 1 Carribault, Patrick 1 Chen, Ming-shing 1 Chen, Rafi 1 Cheng, Chen-Mou 1 Cid, Carlos Frederico 1 Costello, Craig 1 Courtois, Nicolas T. 1 De Cannière, Christophe 1 Debraize, Blandine 1 Derbez, Patrick 1 Diarra, Nafissatou 1 Dryło, Robert 1 Fan, Xinxin 1 Felke, Patrick 1 Freeman, David Mandell 1 Gaborit, Philippe 1 Galbraith, Steven D. 1 Giménez, Nardo 1 Gong, Guang 1 Hisil, Huseyin 1 Howe, Everett W. 1 Hu, Lei 1 Jalby, William J. P. 1 Jiang, Xin 1 Joux, Antoine 1 Khlil, Ahmed Youssef Ould Cheikh 1 Lemuet, Christophe 1 Lin, Dongdai 1 Makarim, Rusydi H. 1 Manuel, Stéphane 1 Martin, Gebhard 1 Matera, Guillermo 1 McGuire, Gary 1 Mendel, Florian 1 Murphy, Sean 1 Neiger, Vincent 1 Niitsuma, Yasuhiro 1 Ó hÉigeartaigh, Colm 1 O’Hara, Daniela 1 Paterson, Kenneth G. 1 Paterson, Maura Beth 1 Paul, Goutam 1 Pérez, Mariana 1 Privitelli, Melina 1 Raddum, Håvard 1 Rechberger, Christian 1 Rønjom, Sondre 1 Ruatta, Olivier 1 Sakurai, Kouichi 1 Sanna, Carlo 1 Sanyal, Abhiroop 1 Seck, Michel 1 Shang, Ning 1 Sheedy, Caroline 1 Sutherland, Andrew V. 1 Swart, Christine S. 1 Takahashi, Tetsuya 1 Tanaka, Satoshi 1 Teske, Edlyn 1 Tillich, Jean-Pierre 1 Verbel, Javier A. 1 Xu, Maozhi 1 Yang, Bo-Yin 1 Yao, David D. W. 1 Zhang, Guoliang 1 Zhao, Changan all top 5 Cited in 17 Serials 3 Journal of Symbolic Computation 2 Journal of Pure and Applied Algebra 2 Journal of Cryptology 2 Designs, Codes and Cryptography 1 Information Processing Letters 1 Mathematics of Computation 1 Applied Mathematics and Computation 1 Journal of Number Theory 1 Mathematische Annalen 1 Pacific Journal of Mathematics 1 Tokyo Journal of Mathematics 1 Journal of Complexity 1 Finite Fields and their Applications 1 Journal of Mathematical Cryptology 1 Algebra & Number Theory 1 Cryptography and Communications 1 Prikladnaya Diskretnaya Matematika all top 5 Cited in 7 Fields 33 Information and communication theory, circuits (94-XX) 20 Algebraic geometry (14-XX) 17 Number theory (11-XX) 7 Commutative algebra (13-XX) 7 Computer science (68-XX) 3 Quantum theory (81-XX) 1 Associative rings and algebras (16-XX) Citations by Year