Speaker: Andrew Sutherland Title: Sato-Tate distributions Abstract: The Sato-Tate conjecture predicts the asymptotic distribution of normalized Frobenius traces of the reductions modulo primes p of a fixed elliptic curve

Source URL: www.math.columbia.edu

THEOREM OF THE DAY The Lutz-Nagell Theorem For the elliptic curve y2 = x3 + ax2 + bx + c, with a, b, and c integers and having (non-zero) discriminant function D = −4a3c + a2b2 + 18abc − 4b3 − 27c2, let P = (X, Y)

Source URL: www.theoremoftheday.org

Computing genus 2 curves from invariants on the Hilbert moduli space Journal of Number Theory, Special Issue on Elliptic Curve Cryptography http://eprint.iacr.org

Source URL: 2010.eccworkshop.org

• Algebra
• Abstract algebra
• Analytic number theory
• Invariant theory
• Algebraic surfaces
• Algebraic curves
• Moduli space
• Moduli theory
• Modular form
• Abelian variety
• Elliptic curve
• Complex multiplication

Ren´e Schoof, Elliptic curves over finite fields. VU, OctoberIntroduction. Let E be an elliptic curve over a finite field Fq . Then E is a smooth cubic in P2 . It can

Source URL: www.cosic.esat.kuleuven.be

• Mathematics
• Algebra
• Group theory
• Geometry
• Analytic number theory
• Elliptic curve
• Divisor
• Differential forms
• Imaginary hyperelliptic curve
• Banach fixed-point theorem

Mathematicians Discuss the Snowden Revelations This is the latest installment in the Notices discussion of the National Security Agency (NSA). The previous installment, “The Mathematics Community and the NSA,” by Mic

Source URL: www.ams.org

• Mass surveillance
• National Security Agency
• United States government secrecy
• Bullrun
• RSA Security
• Global surveillance disclosures
• RSA BSAFE
• IPsec
• Elliptic curve cryptography
• Cryptography
• Dual EC DRBG
• Crypto Wars

Efficient ephemeral elliptic curve cryptographic keys

Source URL: csrc.nist.gov

To appear in Designs, Codes and Cryptography. Trading Inversions for Multiplications in Elliptic Curve Cryptography Mathieu Ciet∗ () Gemplus S.A., Card Security Group, La Vigie,

Source URL: joye.site88.net

Published in Designs, Codes and Cryptography 36(1):33–43, Elliptic Curve Cryptosystems in the Presence of Permanent and Transient Faults Mathieu Ciet∗ () Universit´e catholique de Louvain,

Source URL: joye.site88.net

Elliptic Curves a Hardware Perspective Joppe W. Bos NIST Workshop on Elliptic Curve Cryptography Standards June 11- June, Gaithersburg, MD, USA

Source URL: csrc.nist.gov

CERTICOM WHITEPAPER SERIES ECC and SCADA Key Management Rob Lambert, Certicom August 2010

Source URL: www.certicom.com

• Key management
• Public-key cryptography
• Cryptography
• Elliptic curve cryptography
• Key size
• Key
• Symmetric-key algorithm
• RSA
• Cipher
• Elliptic curve DiffieHellman
• DiffieHellman key exchange
• Cryptographic key types