Literatura académica sobre el tema "Genus 2 curves"
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Artículos de revistas sobre el tema "Genus 2 curves"
Baba, Srinath y Håkan Granath. "Genus 2 Curves with Quaternionic Multiplication". Canadian Journal of Mathematics 60, n.º 4 (1 de agosto de 2008): 734–57. http://dx.doi.org/10.4153/cjm-2008-033-7.
Texto completoGonzález-Jiménez, Enrique y Josep González. "Modular curves of genus 2". Mathematics of Computation 72, n.º 241 (4 de junio de 2002): 397–419. http://dx.doi.org/10.1090/s0025-5718-02-01458-8.
Texto completoCosset, Romain. "Factorization with genus 2 curves". Mathematics of Computation 79, n.º 270 (20 de agosto de 2009): 1191–208. http://dx.doi.org/10.1090/s0025-5718-09-02295-9.
Texto completoMourao, Michael. "Extending Elliptic Curve Chabauty to higher genus curves". Manuscripta Mathematica 143, n.º 3-4 (5 de abril de 2013): 355–77. http://dx.doi.org/10.1007/s00229-013-0621-2.
Texto completoBröker, Reinier, Everett W. Howe, Kristin E. Lauter y Peter Stevenhagen. "Genus-2 curves and Jacobians with a given number of points". LMS Journal of Computation and Mathematics 18, n.º 1 (2015): 170–97. http://dx.doi.org/10.1112/s1461157014000461.
Texto completoDRYŁO, Robert. "CONSTRUCTING PAIRING-FRIENDLY GENUS 2 CURVES". National Security Studies 6, n.º 2 (5 de diciembre de 2014): 95–124. http://dx.doi.org/10.37055/sbn/135218.
Texto completoMarkushevich, Dimitri. "Kowalevski top and genus-2 curves". Journal of Physics A: Mathematical and General 34, n.º 11 (14 de marzo de 2001): 2125–35. http://dx.doi.org/10.1088/0305-4470/34/11/306.
Texto completode Jong, Robin. "Admissible constants for genus 2 curves". Bulletin of the London Mathematical Society 42, n.º 3 (17 de febrero de 2010): 405–11. http://dx.doi.org/10.1112/blms/bdp132.
Texto completoGoren, Eyal Z. y Kristin E. Lauter. "Genus 2 Curves with Complex Multiplication". International Mathematics Research Notices 2012, n.º 5 (12 de abril de 2011): 1068–142. http://dx.doi.org/10.1093/imrn/rnr052.
Texto completoBaba, Srinath y Håkan Granath. "Genus 2 Curves with Quaternionic Multiplication". Journal canadien de mathématiques 60, n.º 4 (2008): 734. http://dx.doi.org/10.4153/cjm-2009-033-8.
Texto completoTesis sobre el tema "Genus 2 curves"
Flynn, Eugene Victor. "Curves of genus 2". Thesis, University of Cambridge, 1989. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.305382.
Texto completoBending, Peter Richard. "Curves of genus 2 with #square root# 2 multiplication". Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.267935.
Texto completoHanselman, Jeroen [Verfasser]. "Gluing curves of genus 2 and genus 1 along their 2-torsion / Jeroen Hanselman". Ulm : Universität Ulm, 2020. http://d-nb.info/1219964816/34.
Texto completoRedmond, Joanne. "Coverings of families of curves of genus 2". Thesis, University of Liverpool, 2001. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.250416.
Texto completoMaistret, Céline. "Parity of ranks of Jacobians of hyperelliptic curves of genus 2". Thesis, University of Warwick, 2017. http://wrap.warwick.ac.uk/93324/.
Texto completoWilson, J. "Curves of genus 2 with real multiplication by a square root of 5". Thesis, University of Oxford, 1998. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.268031.
Texto completoChow, Rudolf Wing Tat. "The arithmetic-geometric mean and periods of curves of Genus 1 and 2". Thesis, University of Sheffield, 2018. http://etheses.whiterose.ac.uk/20887/.
Texto completoMoulahi, Samir. "Pinceaux réels en courbes de genre 2". Thesis, Angers, 2015. http://www.theses.fr/2015ANGE0022/document.
Texto completoLet π : X→ D be a real pencil of curves of genus two. The goal of this thesis is to give a partial classification of possible singular fibers; we give the types of real configurations of singular fibers and we determine the topology of neighbors fibers. Also we give the invariants determining in a unique way the real class of such pencils
Costello, Craig. "Fast formulas for computing cryptographic pairings". Thesis, Queensland University of Technology, 2012. https://eprints.qut.edu.au/61037/1/Craig_Costello_Thesis.pdf.
Texto completoGuillevic, Aurore. "Étude de l'arithmétique des couplages sur les courbes algébriques pour la cryptographie". Paris, Ecole normale supérieure, 2013. https://theses.hal.science/tel-00921940v1.
Texto completoSince 2000 pairings became a very useful tool to design new protocols in cryptography. Short signatures and identity-based encryption became also practical thanks to these pairings. This thesis contains two parts. One part is about optimized pairing implementation on different ellip- tic curves according to the targeted protocol. Pairings are implemented on supersingular elliptic curves in large characteristic and on Barreto-Naehrig curves. The pairing library developed at Thales is used in a broadcast encryption scheme prototype. The prototype implements pairings over Barreto-Naehrig curves. Pairings over supersingular curves are much slower and have larger parameters. However these curves are interesting when implementing protocols which use composite-order elliptic curves (the group order is an RSA modulus). We implement two protocols that use pairings on composite-order groups and compare the benchmarks and the parameter size with their counterpart in a prime-order setting. The composite-order case is 30 up to 250 times much slower according to the considered step in the protocols: the efficiency difference in between the two cases is very important. A second part in this thesis is about two families of genus 2 curves. Their Jacobians are isogenous to the product of two elliptic curves over a small extension field. The properties of elliptic curves can be translated to the Jacobians thanks to this isogeny. Point counting is as easy as for elliptic curves in this case. We also construct two endomorphisms both on the Jacobians and the elliptic curves. These en- domorphisms can be used for scalar multiplication improved with a four-dimensional Gallant-Lambert- Vanstone method
Libros sobre el tema "Genus 2 curves"
V, Flynn E., ed. Prolegomena to a middlebrow arithmetic of curves of genus 2. Cambridge: Cambridge University Press, 1996.
Buscar texto completoCassels, J. W. S. y E. V. Flynn. Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2. Cambridge University Press, 2010.
Buscar texto completoCassels, J. W. S. y E. V. Flynn. Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2. Cambridge University Press, 1996.
Buscar texto completoCassels, J. W. S. y E. V. Flynn. Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2. Cambridge University Press, 2012.
Buscar texto completoFarb, Benson y Dan Margalit. Curves, Surfaces, and Hyperbolic Geometry. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0002.
Texto completoFarb, Benson y Dan Margalit. Generating the Mapping Class Group. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0005.
Texto completoCapítulos de libros sobre el tema "Genus 2 curves"
Flynn, E. Victor. "Coverings of Curves of Genus 2". En Lecture Notes in Computer Science, 65–84. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/10722028_3.
Texto completoHisil, Huseyin y Craig Costello. "Jacobian Coordinates on Genus 2 Curves". En Lecture Notes in Computer Science, 338–57. Berlin, Heidelberg: Springer Berlin Heidelberg, 2014. http://dx.doi.org/10.1007/978-3-662-45611-8_18.
Texto completoDuquesne, Sylvain. "Montgomery Scalar Multiplication for Genus 2 Curves". En Lecture Notes in Computer Science, 153–68. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-24847-7_11.
Texto completoFrey, Gerhard y Ernst Kani. "Curves of genus 2 covering elliptic curves and an arithmetical application". En Arithmetic Algebraic Geometry, 153–76. Boston, MA: Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4612-0457-2_7.
Texto completoDuquesne, Sylvain. "Montgomery Ladder for All Genus 2 Curves in Characteristic 2". En Arithmetic of Finite Fields, 174–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-69499-1_15.
Texto completoMaïga, Abdoulaye y Damien Robert. "Computing the 2-Adic Canonical Lift of Genus 2 Curves". En Proceedings of the Seventh International Conference on Mathematics and Computing, 637–72. Singapore: Springer Singapore, 2022. http://dx.doi.org/10.1007/978-981-16-6890-6_48.
Texto completoCardona, Gabriel. "ℚ-curves and Abelian Varieties of GL2-type from Dihedral Genus 2 Curves". En Modular Curves and Abelian Varieties, 45–52. Basel: Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7919-4_3.
Texto completoDryło, Robert. "Constructing Pairing-Friendly Genus 2 Curves with Split Jacobian". En Lecture Notes in Computer Science, 431–53. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012. http://dx.doi.org/10.1007/978-3-642-34931-7_25.
Texto completoRodriguez-Villegas, Fernando. "Explicit Models of Genus 2 Curves with Split CM". En Lecture Notes in Computer Science, 505–13. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/10722028_33.
Texto completoGaudry, Pierrick, David Kohel y Benjamin Smith. "Counting Points on Genus 2 Curves with Real Multiplication". En Lecture Notes in Computer Science, 504–19. Berlin, Heidelberg: Springer Berlin Heidelberg, 2011. http://dx.doi.org/10.1007/978-3-642-25385-0_27.
Texto completoActas de conferencias sobre el tema "Genus 2 curves"
Demirbas, Yasin. "Hyperelliptic curves of genus 3 and 4 in characteristic 2". En Computational Aspects of Algebraic Curves. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701640_0011.
Texto completoCardona, Gabriel y Jordi Quer. "Field of moduli and field of definition for curves of genus 2". En Computational Aspects of Algebraic Curves. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701640_0006.
Texto completoWollinger, Thomas y Vladyslav Kovtun. "Fast explicit formulae for genus 2 hyperelliptic curves using projective coordinates". En Fourth International Conference on Information Technology (ITNG'07). IEEE, 2007. http://dx.doi.org/10.1109/itng.2007.94.
Texto completoFreeman, David y Kristin Lauter. "Computing endomorphism rings of Jacobians of genus 2 curves over finite fields". En Proceedings of the First SAGA Conference. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812793430_0002.
Texto completoBertoni, G., L. Breveglieri, T. Wollinger y C. Paar. "Finding optimum parallel coprocessor design for genus 2 hyperelliptic curve cryptosystems". En International Conference on Information Technology: Coding and Computing, 2004. Proceedings. ITCC 2004. IEEE, 2004. http://dx.doi.org/10.1109/itcc.2004.1286710.
Texto completoFang, Yuejian y Zhonghai Wu. "A New Parallel Processor Architecture for Genus 2 Hyperelliptic Curve Cryptosystems". En 2012 IEEE Computer Society Annual Symposium on VLSI (ISVLSI). IEEE, 2012. http://dx.doi.org/10.1109/isvlsi.2012.24.
Texto completoAbhau, Jochen, Carl-Friedrich Bödigheimer y Ralf Ehrenfried. "Homology of the mapping class group Γ2,1 for surfaces of genus 2 with a boundary curve". En Conference in honour of Heiner Zieschang. Mathematical Sciences Publishers, 2008. http://dx.doi.org/10.2140/gtm.2008.14.1.
Texto completoCarvalho, Tamyres MIngorance, Tayana Schultz Jukoski, Guillermo Ortiz Brasil, Flavia Kuroda y Enilze M. S. F. Ribeiro. "EXPRESSION OF miRNAS SUGGESTS A POTENTIAL ROLE IN BREAST CANCER". En Scientifc papers of XXIII Brazilian Breast Congress - 2021. Mastology, 2021. http://dx.doi.org/10.29289/259453942021v31s1050.
Texto completoKetmalee, Thanapong, Thanachai Singhapetcharat, Monrawee Pancharoen, Pacharaporn Navasumrit, Kittiphop Chayraksa y Naruttee Kovitkanit. "Like Cures Like Microbial Enhanced Oil Recovery in Biodegraded Crude". En International Petroleum Technology Conference. IPTC, 2023. http://dx.doi.org/10.2523/iptc-22733-ms.
Texto completoLee, S. G., N. K. Kalvan, J. Wilhelm, W.-T. Hum, R. Rappaport, S. M. Chenq, S. Dheer, C. Urbano, M. Levner y P. P. Hung. "CONSTRUCTION AND EXPRESSION OF HYBRID PLASMINOGEN ACTIVATORS PREPARED FROM TISSUE-PLASMINOGEN ACTIVATOR (t-PA) AND UROKINASE (u-PA) GENES". En XIth International Congress on Thrombosis and Haemostasis. Schattauer GmbH, 1987. http://dx.doi.org/10.1055/s-0038-1643939.
Texto completoInformes sobre el tema "Genus 2 curves"
Weller, Joel I., Harris A. Lewin y Micha Ron. Determination of Allele Frequencies for Quantitative Trait Loci in Commercial Animal Populations. United States Department of Agriculture, febrero de 2005. http://dx.doi.org/10.32747/2005.7586473.bard.
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