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##### LFANT - 2019

Overall Objectives
New Software and Platforms
Partnerships and Cooperations
Bibliography

## Section: New Software and Platforms

### AVIsogenies

Abelian Varieties and Isogenies

Keywords: Computational number theory - Cryptography

Functional Description: AVIsogenies is a Magma package for working with abelian varieties, with a particular emphasis on explicit isogeny computation.

Its prominent feature is the computation of (l,l)-isogenies between Jacobian varieties of genus-two hyperelliptic curves over finite fields of characteristic coprime to l, practical runs have used values of l in the hundreds.

It can also be used to compute endomorphism rings of abelian surfaces, and find complete addition laws on them.

• Participants: Damien Robert, Gaëtan Bisson and Romain Cosset

• Contact: Damien Robert