CHIC Project

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The CHIC project

Some recent improvements have strengthen the importance of elliptic curves in asymmetric cryptography. The main objective of the project Hyperelliptic Curves Isogenies, point Counting (CHIC) is to bridge the gap in terms of performance and security between the genus one and small genus cases over prime fields. We project to expand the algorithmic toolbox applicable to small genus abelian varieties with new algorithms aiming at:
  • improving the representation and group law computation;
  • obtaining efficient point counting for curves.
The CHIC project is an interdisciplinary ANR founded project which gather three parteners: