Quantum algorithms (CO 781, WinterProf. Andrew Childs, University of Waterloo LECTURE 3: Quantum attacks on elliptic curve cryptography In the last lecture we discussed Shor’s algorithm, which can calculate disc

Source URL: www.math.uwaterloo.ca

Counting points on curves: the general case Jan Tuitman, KU Leuven October 14, 2015 Jan Tuitman, KU Leuven

Source URL: caramba.loria.fr

• Homological algebra
• tale cohomology
• Cohomology
• Weil conjectures
• Elliptic curve
• P-adic number
• Ring
• Crystalline cohomology

ALGEBRAIC STRUCTURE AND DEGREE REDUCTION Let S ⊂ Fn . We define deg(S) to be the minimal degree of a non-zero polynomial that vanishes on S. We have seen that for a finite set S, deg(S) ≤ n|S|1/n . In fact, we can sa

Source URL: math.mit.edu

• Mathematics
• Mathematical analysis
• Algebra
• Polynomials
• Transcendental numbers
• Diophantine approximation
• Coding theory
• Algebraic function
• Elliptic curve

Invent. math. 64, mathematicae 9 Springer-VerlagValues of L-series of Modular Forms

Source URL: people.mpim-bonn.mpg.de

• Mathematics
• Algebra
• Abstract algebra
• Modular forms
• Hecke operator
• Shimura correspondence
• Cusp form
• Eigenform
• Elliptic curve
• Algebraic number field
• Fourier series
• Distribution

E ample use of EDSTools -- Sage E ample use of EDSTools Load the script.

Source URL: math.colorado.edu

• Mathematics
• Geometry
• Abstract algebra
• Elliptic curves
• Analytic number theory
• Curve
• General topology
• Metric geometry
• Topology
• Elliptic divisibility sequence

Elliptic and hyperelliptic curves with weak coverings, ECC2007 Elliptic and hyperelliptic curves with weak coverings against Weil descent attack Jinhui Chao Joint work with Fumiyuki Momose

Source URL: mathsci.ucd.ie

• Algebraic curves
• Abstract algebra
• Algebra
• Mathematics
• Hyperelliptic curve
• ArtinSchreier curve
• Elliptic curve
• Hyperelliptic curve cryptography
• Trace Zero Cryptography

Software implementation of pairings Diego de Freitas Aranha September 21, 2011 Department of Computer Science University of Bras´ılia

Source URL: ecc2011.loria.fr

• Elliptic curve cryptography
• Pairing-based cryptography
• Linear algebra
• Mathematics
• Module theory
• Pairing

SUPERSINGULAR j-INVARIANTS, HYPERGEOMETRIC SERIES, AND ATKIN’S ORTHOGONAL POLYNOMIALS M. Kaneko and D. Zagier §1. Introduction. An elliptic curve E over a field K of characteristic p > 0 is called supersingular

Source URL: people.mpim-bonn.mpg.de

Introduction Schottky objects Schottky Moduli Map Elliptic curve Schottky Bundles

Source URL: cmup.fc.up.pt