POLSYS - 2017 - Annual activity report

POLSYS

POLSYS - 2017

Project-Team Polsys

Personnel

Overall Objectives

Research Program

Introduction
Fundamental Algorithms and Structured Systems
Solving Systems over the Reals and Applications.
Low level implementation and Dedicated Algebraic Computation and Linear Algebra.
Solving Systems in Finite Fields, Applications in Cryptology and Algebraic Number Theory.

Highlights of the Year

New Software and Platforms

Epsilon
FGb
FGb Light
GBLA
HFEBoost
RAGlib
SLV
SPECTRA

New Results

Fundamental algorithms and structured polynomial systems
Solving Systems over the Reals and Applications
Solving Systems in Finite Fields, Applications in Cryptology and Algebraic Number Theory.

Bilateral Contracts and Grants with Industry

Bilateral Grants with Industry
Public Contracts

Partnerships and Cooperations

Regional Initiatives
National Initiatives
European Initiatives
International Initiatives
International Research Visitors

Dissemination

Promoting Scientific Activities
Teaching - Supervision - Juries
Popularization

Bibliography

Publications of the year

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Section: New Software and Platforms

FGb

Keywords: Gröbner bases - Nonlinear system - Computer algebra

Functional Description: FGb is a powerful software for computing Gröbner bases. It includes the new generation of algorihms for computing Gröbner bases polynomial systems (mainly the F4, F5 and FGLM algorithms). It is implemented in C/C++ (approximately 250000 lines), standalone servers are available on demand. Since 2006, FGb is dynamically linked with Maple software (version 11 and higher) and is part of the official distribution of this software.

Participant: Jean Charles Faugere
Contact: Jean-Charles Faugère
URL: http://www-polsys.lip6.fr/~jcf/FGb/index.html

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