Efficient and Secure Elliptic Curve Cryptography Implementation of curve P-256

Source URL: csrc.nist.gov

The Four Faces of Lifting for the Elliptic Curve Discrete Logarithm Problem Joseph H. Silverman Brown University

Source URL: mathsci.ucd.ie

The AGM-X0(N ) Algorithm Heegner point lifting with application to elliptic curve point counting David R. Kohel School of Mathematics and Statistics University of Sydney

Source URL: conf.ncku.edu.tw

RFC6962-bis update ● ● Some tweaking still needed. Last call should wait for our implementation.

Source URL: www.ietf.org

• Cryptography
• Cryptographic protocols
• Public-key cryptography
• Search algorithms
• Elliptic Curve Digital Signature Algorithm
• Elliptic curve cryptography
• Hash function
• X.509
• SHA-2

EFFICIENT EPHEMERAL ELLIPTIC CURVE CRYPTOGRAPHIC KEYS Andrea Miele, Arjen K. Lenstra 1

Source URL: isc2015.item.ntnu.no

• Elliptic curve cryptography
• Geometry
• Abstract algebra
• Mathematics
• Elliptic curve DiffieHellman
• Elliptic curve
• Curve
• Curve25519

Area–time efficient hardware architecture for factoring integers with the elliptic curve method Jan Pelzl, Martin Sˇimka, Thorsten Kleinjung, Jens Franke, Christine Priplata, Colin Stahlke, Milosˇ Drutarovsky´, Vikt

Source URL: www.emsec.rub.de

Elliptic curve cryptography on FPGAs: How fast can we go with a single chip? Kimmo Järvinen Department of Information and Computer Science Aalto University, Finland

Source URL: users.ics.aalto.fi

Explicit Algorithms for Humbert Surfaces David Gruenewald A thesis submitted in partial fulfilment of the requirements for the degree of Doctor of Philosophy in Pure Mathematics at the University of Sydney, December 2008

Source URL: echidna.maths.usyd.edu.au

• Abelian varieties
• Algebraic surfaces
• Analytic number theory
• Algebraic curves
• Bernhard Riemann
• Humbert surface
• Modular form
• Elliptic curve
• Complex multiplication
• Shimura variety
• AppellHumbert theorem
• Abelian surface

REDUCTIONS OF POINTS ON ELLIPTIC CURVES AMIR AKBARY, DRAGOS GHIOCA, AND V. KUMAR MURTY Abstract. Let E be an elliptic curve defined over Q. Let Γ be a subgroup of rank r of the ¯ be the reduction group of rational poin

Source URL: www.cs.uleth.ca

EXPLICIT CM-THEORY FOR LEVEL 2-STRUCTURES ON ABELIAN SURFACES ¨ REINIER BROKER, DAVID GRUENEWALD, AND KRISTIN LAUTER Abstract. For a complex abelian surface A with endomorphism ring isomorphic to

Source URL: echidna.maths.usyd.edu.au

• Abstract algebra
• Algebra
• Ring theory
• Field theory
• Algebraic number theory
• Niels Henrik Abel
• Analytic number theory
• Abelian variety
• Complex multiplication
• Valuation
• Elliptic curve
• Sheaf