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Section: Bilateral Contracts and Grants with Industry
Training and Consulting with French Ministry of Defense
We have training and consulting activities with the French Ministry of Defense.
Overall Objectives
Research Program
Application Domains
New Results
- Improved Complexity Bounds for Counting Points on Hyperelliptic Curves
- Deciphering of a Code Used by a 19th Century Parisian Violin Dealer
- Discrete Logarithm Record Computation in Extension Fields
- Using Constraint Programming to Solve a Cryptanalytic Problem
- Optimized Binary64 and Binary128 Arithmetic with GNU MPFR
- A New Measure for Root Optimization
- Mathematical Computation with SageMath
- Topics in Computational Number Theory Inspired by Peter L. Montgomery
- Improved Methods for Finding Optimal Formulae for Bilinear Maps in a Finite Field
- Big Prime Field FFT on the GPU
- CM Plane Quartics
- Explicit Isogenies in Genus 2 and 3
- Modular Polynomials of Hilbert Surfaces
- Individual Logarithm Step in Non-prime Fields
- Last Year Results that Appeared in 2017
Bilateral Contracts and Grants with Industry
Partnerships and Cooperations
Bibliography
Overall Objectives
Research Program
Application Domains
New Results
- Improved Complexity Bounds for Counting Points on Hyperelliptic Curves
- Deciphering of a Code Used by a 19th Century Parisian Violin Dealer
- Discrete Logarithm Record Computation in Extension Fields
- Using Constraint Programming to Solve a Cryptanalytic Problem
- Optimized Binary64 and Binary128 Arithmetic with GNU MPFR
- A New Measure for Root Optimization
- Mathematical Computation with SageMath
- Topics in Computational Number Theory Inspired by Peter L. Montgomery
- Improved Methods for Finding Optimal Formulae for Bilinear Maps in a Finite Field
- Big Prime Field FFT on the GPU
- CM Plane Quartics
- Explicit Isogenies in Genus 2 and 3
- Modular Polynomials of Hilbert Surfaces
- Individual Logarithm Step in Non-prime Fields
- Last Year Results that Appeared in 2017
Bilateral Contracts and Grants with Industry
Partnerships and Cooperations
Bibliography