Discrete logarithm in GFwith FFS Razvan Barbulescu, Cyril Bouvier, Jérémie Detrey, Pierrick Gaudry, Hamza Jeljeli, Emmanuel Thomé, Marion Videau, and Paul Zimmermann CARAMEL project-team, LORIA, INRIA / CNRS /

Source URL: www.loria.fr

• Finite fields
• Logarithms
• Group theory
• Integer factorization algorithms
• Cryptography
• Index calculus algorithm
• XTR
• Polynomial
• Discrete logarithm
• Abstract algebra
• Mathematics
• Algebra

The Ups and Downs of PARI/GP in the last 20 years Paul Zimmermann (with many thanks to Karim Belabas) Explicit Methods in Number Theory, October 15th-19th 2007, Bordeaux

Source URL: pari.math.u-bordeaux.fr

• Bordeaux
• Software
• PARI/GP
• Portable software

THE ELLIPTIC CURVE METHOD PAUL ZIMMERMANN The Elliptic Curve Method (ECM for short) was invented in 1985 by H. W. Lenstra, Jr[removed]It is suited to find small — say 9 to 30 digits — prime factors of large numbers. Am

Source URL: www.loria.fr

• Cryptography
• Lenstra elliptic curve factorization
• Quadratic sieve
• Integer factorization
• Elliptic curve
• Primality test
• Prime number
• Prime factor
• Algebraic-group factorisation algorithm
• Integer factorization algorithms
• Abstract algebra
• Mathematics

ERC Advanced Grant Research Proposal (Part B1) Beyond Double Precision (BeDoP) Principal Investigator (PI): PI’s host institution: Proposal full title:

Source URL: www.loria.fr

• Statistics
• Numbers
• Binary arithmetic
• Parallel computing
• Floating point
• FLOPS
• Double-precision floating-point format
• Precision
• Paul Zimmermann
• Computing
• Computer arithmetic
• Data types

Karatsuba Square Root Paul Zimmermann To cite this version: Paul Zimmermann. Karatsuba Square Root. [Research Report] RR-3805, 1999, pp.8.

Source URL: hal.inria.fr

• Latin alphabets
• Latin-derived alphabet
• Collating sequence

Growers of Organic Food Yukon (Society) Founding Meeting Saturday, March 17, 2012, 2:00 pm, Earth Wisdom Farm Peter Zimmermann & Enrica Nadalini Attendance: Simone, Peter, Joanne, Paul, Kim, Shannon, Sheila, Tom, Cain, E

Source URL: organic.yukonfood.com

• Agenda
• Meetings
• Parliamentary procedure
• Minutes

Cryptographie Paul Zimmermann INRIA Nancy - Grand Est Lycée Jean de Pange Sarreguemines

Source URL: www.loria.fr

Motivation Le standard IEEE 754 ` La bibliotheque MPFR

Source URL: www.loria.fr

• Maple
• MPFR
• Natural logarithm
• Paul Zimmermann
• Software
• Cross-platform software
• Maplesoft

Factorization of a 768-bit RSA modulus Paul Zimmermann (joint work with T. Kleinjung. K. Aoki, J. Franke, A. Lenstra, E. Thomé, J. Bos, P. Gaudry, A. Kruppa, P. Montgomery, D. A. Osvik, H. te Riele and A. Timofeev) /*

Source URL: www.loria.fr

• Mathematics
• Public-key cryptography
• RSA
• Gaudry
• Cryptography
• Integer factorization algorithms
• Herman te Riele