Séminaire de Cryptographie

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Wouter Castryck

Isogeny-based cryptography from superspecial genus-2 curves

I will report on some first attempts to do isogeny-based cryptography in genus 2. More precisely, we will use isogeny graphs of superspecial principally polarized abelian surfaces over GF(p^2) for constructing variants of Charles, Goren and Lauter's hash function and of Jao and De Feo's SIDH key exchange protocol, both of which use supersingular elliptic curves over GF(p^2). This will be largely based on joint work with Thomas Decru and Benjamin Smith.