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Статті в журналах з теми "Genus 2 curves"
Baba, Srinath, and Håkan Granath. "Genus 2 Curves with Quaternionic Multiplication." Canadian Journal of Mathematics 60, no. 4 (August 1, 2008): 734–57. http://dx.doi.org/10.4153/cjm-2008-033-7.
Повний текст джерелаGonzález-Jiménez, Enrique, and Josep González. "Modular curves of genus 2." Mathematics of Computation 72, no. 241 (June 4, 2002): 397–419. http://dx.doi.org/10.1090/s0025-5718-02-01458-8.
Повний текст джерелаCosset, Romain. "Factorization with genus 2 curves." Mathematics of Computation 79, no. 270 (August 20, 2009): 1191–208. http://dx.doi.org/10.1090/s0025-5718-09-02295-9.
Повний текст джерелаMourao, Michael. "Extending Elliptic Curve Chabauty to higher genus curves." Manuscripta Mathematica 143, no. 3-4 (April 5, 2013): 355–77. http://dx.doi.org/10.1007/s00229-013-0621-2.
Повний текст джерелаBröker, Reinier, Everett W. Howe, Kristin E. Lauter, and Peter Stevenhagen. "Genus-2 curves and Jacobians with a given number of points." LMS Journal of Computation and Mathematics 18, no. 1 (2015): 170–97. http://dx.doi.org/10.1112/s1461157014000461.
Повний текст джерелаDRYŁO, Robert. "CONSTRUCTING PAIRING-FRIENDLY GENUS 2 CURVES." National Security Studies 6, no. 2 (December 5, 2014): 95–124. http://dx.doi.org/10.37055/sbn/135218.
Повний текст джерелаMarkushevich, Dimitri. "Kowalevski top and genus-2 curves." Journal of Physics A: Mathematical and General 34, no. 11 (March 14, 2001): 2125–35. http://dx.doi.org/10.1088/0305-4470/34/11/306.
Повний текст джерелаde Jong, Robin. "Admissible constants for genus 2 curves." Bulletin of the London Mathematical Society 42, no. 3 (February 17, 2010): 405–11. http://dx.doi.org/10.1112/blms/bdp132.
Повний текст джерелаGoren, Eyal Z., and Kristin E. Lauter. "Genus 2 Curves with Complex Multiplication." International Mathematics Research Notices 2012, no. 5 (April 12, 2011): 1068–142. http://dx.doi.org/10.1093/imrn/rnr052.
Повний текст джерелаBaba, Srinath, and Håkan Granath. "Genus 2 Curves with Quaternionic Multiplication." Journal canadien de mathématiques 60, no. 4 (2008): 734. http://dx.doi.org/10.4153/cjm-2009-033-8.
Повний текст джерелаДисертації з теми "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.
Повний текст джерелаBending, 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.
Повний текст джерелаHanselman, 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.
Повний текст джерелаRedmond, 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.
Повний текст джерелаMaistret, Céline. "Parity of ranks of Jacobians of hyperelliptic curves of genus 2." Thesis, University of Warwick, 2017. http://wrap.warwick.ac.uk/93324/.
Повний текст джерелаWilson, 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.
Повний текст джерелаChow, 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/.
Повний текст джерелаMoulahi, Samir. "Pinceaux réels en courbes de genre 2." Thesis, Angers, 2015. http://www.theses.fr/2015ANGE0022/document.
Повний текст джерелаLet 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.
Повний текст джерелаGuillevic, 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.
Повний текст джерелаSince 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
Книги з теми "Genus 2 curves"
V, Flynn E., ed. Prolegomena to a middlebrow arithmetic of curves of genus 2. Cambridge: Cambridge University Press, 1996.
Знайти повний текст джерелаCassels, J. W. S., and E. V. Flynn. Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2. Cambridge University Press, 2010.
Знайти повний текст джерелаCassels, J. W. S., and E. V. Flynn. Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2. Cambridge University Press, 1996.
Знайти повний текст джерелаCassels, J. W. S., and E. V. Flynn. Prolegomena to a Middlebrow Arithmetic of Curves of Genus 2. Cambridge University Press, 2012.
Знайти повний текст джерелаFarb, Benson, and Dan Margalit. Curves, Surfaces, and Hyperbolic Geometry. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0002.
Повний текст джерелаFarb, Benson, and Dan Margalit. Generating the Mapping Class Group. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0005.
Повний текст джерелаЧастини книг з теми "Genus 2 curves"
Flynn, E. Victor. "Coverings of Curves of Genus 2." In Lecture Notes in Computer Science, 65–84. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/10722028_3.
Повний текст джерелаHisil, Huseyin, and Craig Costello. "Jacobian Coordinates on Genus 2 Curves." In 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.
Повний текст джерелаDuquesne, Sylvain. "Montgomery Scalar Multiplication for Genus 2 Curves." In 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.
Повний текст джерелаFrey, Gerhard, and Ernst Kani. "Curves of genus 2 covering elliptic curves and an arithmetical application." In Arithmetic Algebraic Geometry, 153–76. Boston, MA: Birkhäuser Boston, 1991. http://dx.doi.org/10.1007/978-1-4612-0457-2_7.
Повний текст джерелаDuquesne, Sylvain. "Montgomery Ladder for All Genus 2 Curves in Characteristic 2." In Arithmetic of Finite Fields, 174–88. Berlin, Heidelberg: Springer Berlin Heidelberg, 2008. http://dx.doi.org/10.1007/978-3-540-69499-1_15.
Повний текст джерелаMaïga, Abdoulaye, and Damien Robert. "Computing the 2-Adic Canonical Lift of Genus 2 Curves." In 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.
Повний текст джерелаCardona, Gabriel. "ℚ-curves and Abelian Varieties of GL2-type from Dihedral Genus 2 Curves." In Modular Curves and Abelian Varieties, 45–52. Basel: Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7919-4_3.
Повний текст джерелаDryło, Robert. "Constructing Pairing-Friendly Genus 2 Curves with Split Jacobian." In 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.
Повний текст джерелаRodriguez-Villegas, Fernando. "Explicit Models of Genus 2 Curves with Split CM." In Lecture Notes in Computer Science, 505–13. Berlin, Heidelberg: Springer Berlin Heidelberg, 2000. http://dx.doi.org/10.1007/10722028_33.
Повний текст джерелаGaudry, Pierrick, David Kohel, and Benjamin Smith. "Counting Points on Genus 2 Curves with Real Multiplication." In 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.
Повний текст джерелаТези доповідей конференцій з теми "Genus 2 curves"
Demirbas, Yasin. "Hyperelliptic curves of genus 3 and 4 in characteristic 2." In Computational Aspects of Algebraic Curves. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701640_0011.
Повний текст джерелаCardona, Gabriel, and Jordi Quer. "Field of moduli and field of definition for curves of genus 2." In Computational Aspects of Algebraic Curves. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701640_0006.
Повний текст джерелаWollinger, Thomas, and Vladyslav Kovtun. "Fast explicit formulae for genus 2 hyperelliptic curves using projective coordinates." In Fourth International Conference on Information Technology (ITNG'07). IEEE, 2007. http://dx.doi.org/10.1109/itng.2007.94.
Повний текст джерелаFreeman, David, and Kristin Lauter. "Computing endomorphism rings of Jacobians of genus 2 curves over finite fields." In Proceedings of the First SAGA Conference. WORLD SCIENTIFIC, 2008. http://dx.doi.org/10.1142/9789812793430_0002.
Повний текст джерелаBertoni, G., L. Breveglieri, T. Wollinger, and C. Paar. "Finding optimum parallel coprocessor design for genus 2 hyperelliptic curve cryptosystems." In International Conference on Information Technology: Coding and Computing, 2004. Proceedings. ITCC 2004. IEEE, 2004. http://dx.doi.org/10.1109/itcc.2004.1286710.
Повний текст джерелаFang, Yuejian, and Zhonghai Wu. "A New Parallel Processor Architecture for Genus 2 Hyperelliptic Curve Cryptosystems." In 2012 IEEE Computer Society Annual Symposium on VLSI (ISVLSI). IEEE, 2012. http://dx.doi.org/10.1109/isvlsi.2012.24.
Повний текст джерелаAbhau, Jochen, Carl-Friedrich Bödigheimer та Ralf Ehrenfried. "Homology of the mapping class group Γ2,1 for surfaces of genus 2 with a boundary curve". У Conference in honour of Heiner Zieschang. Mathematical Sciences Publishers, 2008. http://dx.doi.org/10.2140/gtm.2008.14.1.
Повний текст джерелаCarvalho, Tamyres MIngorance, Tayana Schultz Jukoski, Guillermo Ortiz Brasil, Flavia Kuroda, and Enilze M. S. F. Ribeiro. "EXPRESSION OF miRNAS SUGGESTS A POTENTIAL ROLE IN BREAST CANCER." In Scientifc papers of XXIII Brazilian Breast Congress - 2021. Mastology, 2021. http://dx.doi.org/10.29289/259453942021v31s1050.
Повний текст джерелаKetmalee, Thanapong, Thanachai Singhapetcharat, Monrawee Pancharoen, Pacharaporn Navasumrit, Kittiphop Chayraksa, and Naruttee Kovitkanit. "Like Cures Like Microbial Enhanced Oil Recovery in Biodegraded Crude." In International Petroleum Technology Conference. IPTC, 2023. http://dx.doi.org/10.2523/iptc-22733-ms.
Повний текст джерелаLee, S. G., N. K. Kalvan, J. Wilhelm, W.-T. Hum, R. Rappaport, S. M. Chenq, S. Dheer, C. Urbano, M. Levner, and P. P. Hung. "CONSTRUCTION AND EXPRESSION OF HYBRID PLASMINOGEN ACTIVATORS PREPARED FROM TISSUE-PLASMINOGEN ACTIVATOR (t-PA) AND UROKINASE (u-PA) GENES." In XIth International Congress on Thrombosis and Haemostasis. Schattauer GmbH, 1987. http://dx.doi.org/10.1055/s-0038-1643939.
Повний текст джерелаЗвіти організацій з теми "Genus 2 curves"
Weller, Joel I., Harris A. Lewin, and Micha Ron. Determination of Allele Frequencies for Quantitative Trait Loci in Commercial Animal Populations. United States Department of Agriculture, February 2005. http://dx.doi.org/10.32747/2005.7586473.bard.
Повний текст джерела