Giacomo Pope

SIAM AG23: Algebraic Geometry with Friends

I recently returned from Eindhoven, where I had the pleasure of giving a talk on some recent progress in isogeny-based cryptography at the SIAM Conference on Applied Algebraic Geometry (SIAM AG23). Firstly, I want to thank Tanja Lange, Krijn Reijnders and Monika Trimoska, who orgainsed the mini-symposium on the application…

Read more

August 29, 2023

13 mins read

Read more

Eurocrypt 2023: Death of a KEM

Last month I was lucky enough to attend Eurocrypt 2023, which took place in Lyon, France. It was my first chance to attend an academic cryptography conference and the experience sat somewhere in between the familiar cryptography of the Real World Crypto conference and the abstract world of black holes…

Read more

June 1, 2023

9 mins read

Read more

Implementing the Castryck-Decru SIDH Key Recovery Attack in SageMath

Editor’s note: since the publication of this blog post, an expanded and more technical discussion of the implementation process has been written, and is available on eprint: https://eprint.iacr.org/2022/1283. Introduction Last weekend (July 30th) a truly incredible piece of mathematical/cryptanalysis research was put onto eprint. Wouter Castryck and Thomas Decru of KU…

Read more

Estimating the Bit Security of Pairing-Friendly Curves

The use of pairings in cryptography began in 1993, when an algorithm developed by Menezes, Okamoto and Vanstone, now known as the MOV-attack, described a sub-exponential algorithm for solving the discrete logarithm problem for supersingular elliptic curves. It wasn’t until the following decade that efficient pairing-based algorithms were used constructively…

Read more

March 2, 2022

35 mins read

Read more