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

Scientific Report First name / Family name Dr. Dimitrios Simos

Source URL: fellowship.ercim.eu

• Cryptography
• Mathematics
• Applied mathematics
• Post-quantum cryptography
• Finite fields
• Linear code
• Coding theory
• Cryptanalysis
• Hadamard matrix
• Cipher

Notes on the model theory of finite and pseudo-finite fields Zo´e Chatzidakis, CNRS - Universit´e Paris 7. These notes contain the material covered during a mini-course given at the University of Helsinki, Apri

Source URL: www.logique.jussieu.fr

A Faster way to do ECC Mike Scott Dublin City University Joint work with Steven Galbraith Royal Holloway, University of London

Source URL: www.hyperelliptic.org

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

The Riemann Hypothesis over Finite Fields From Weil to the Present Day James S. Milne September 14, 2015 Abstract

Source URL: jmilne.org

A Provably Secure Elliptic Curve Scheme with Fast Encryption David Galindo1 , Sebasti` a Mart´ın1 , Tsuyoshi Takagi2 and Jorge L. Villar1 1

Source URL: www.dgalindo.es

• Cryptography
• Abstract algebra
• Algebra
• Elliptic curves
• Group theory
• Supersingular elliptic curve
• Trapdoor function
• Finite fields
• Elliptic curve
• Lenstra elliptic curve factorization
• Elliptic curve primality

Workshop on Algebraic Curves Over Finite Fields November 11-15, 2013 as part of the

Source URL: www.ricam.oeaw.ac.at

Workshop on the Arithmetic of Finite Fields WAIFI 2012 In Cooperation with the IACR www.waifi.org Bochum, Germany, July 16-19, 2012

Source URL: www5.rz.rub.de

On the discrete logarithm problem in finite fields Pierrick Gaudry CNRS, Université de Lorraine, Inria Nancy, France joint work with Razvan Barbulescu, Antoine Joux, Emmanuel Thomé

Source URL: www.ricam.oeaw.ac.at