A New Family of Pairing-Friendly Elliptic Curves Michael Scott and Aurore Guillevic MIRACL.com Université de Lorraine, CNRS, Inria, LORIA, Nancy, France WAIFI 2018, Bergen, Norway, June 14–16

Source URL: caramba.inria.fr

• Geometry
• Mathematics
• Space
• Analytic number theory
• Elliptic curve
• Group theory
• Curve

Proc. Int. Cong. of Math. – 2018 Rio de Janeiro, Vol–412) HEURISTICS FOR THE ARITHMETIC OF ELLIPTIC CURVES Bjorn Poonen

Source URL: eta.impa.br

• Mathematics
• Number theory
• Elliptic curves
• Discrete mathematics
• Analytic number theory
• Conjectures
• Rank of an elliptic curve
• TateShafarevich group
• Elliptic curve cryptography
• Elliptic curve
• Birch and Swinnerton-Dyer conjecture
• Rational point

A New Family of Pairing-Friendly elliptic curves Michael Scott1 and Aurore Guillevic2 1 2

Source URL: www.waifi.org

• Abstract algebra
• Algebra
• Geometry
• Finite fields
• Elliptic curve cryptography
• Elliptic curves
• Analytic number theory
• Elliptic curve
• Group theory
• Curve
• Elliptic-curve cryptography
• Supersingular elliptic curve

Ordinary elliptic curves of high rank over Fp (x) with constant j-invariant II Claus Diem and Jasper Scholten July 17, 2006 Abstract

Source URL: www.mathematik.uni-leipzig.de

Contemporary Mathematics The geometry of efficient arithmetic on elliptic curves David Kohel Abstract. The arithmetic of elliptic curves, namely polynomial addition and scalar multiplication, can be described in terms o

Source URL: david.kohel.perso.luminy.univ-amu.fr

Arithmetic of an Edwards model of elliptic curves dened over any eld Emmanuel FOUOTSA and Oumar DIAO Université de Yaoundé 1-Cameroun Université de Rennes 1 (IRMAR)-France

Source URL: webmath.univ-rennes1.fr

Edwards Curves and the ECM Factorisation Method Peter Birkner Eindhoven University of Technology The 12th Workshop on Elliptic Curve Cryptography

Source URL: www.pbirkner.fastmail.fm

SHADOW LINES IN THE ARITHMETIC OF ELLIPTIC CURVES J. S. BALAKRISHNAN, M. C ¸ IPERIANI, J. LANG, B. MIRZA, AND R. NEWTON Abstract. Let E/Q be an elliptic curve and p a rational prime of good ordinary reduction. For every

Source URL: math.bu.edu

Endomorphism rings of elliptic curves over finite fields by David Kohel B.S. Biochemstry (Texas A&M UniversityB.S. Mathematics (Texas A&M University) 1989

Source URL: david.kohel.perso.luminy.univ-amu.fr

Elliptic Curves over Q Peter Birkner Technische Universiteit Eindhoven DIAMANT Summer School on Elliptic and Hyperelliptic Curve Cryptography

Source URL: www.pbirkner.fastmail.fm