Description
More than 30 years ago, Buchmann and Williams proposed using ideal class groups of imaginary quadratic fields in cryptography with a Diffie-Hellman style key exchange protocol. After several twists, there has been in recent years a new interest in this area. This rebirth is mainly due to two features. First, class groups of imaginary quadratic fields allow the design of cryptographic protocols that do not require a trusted setup. This particularity has been used for example to build cryptographic accumulators and verifiable delay functions. Secondly, using these groups, we proposed in 2015 a versatile encryption scheme, linearly homomorphic modulo a prime that has found many applications, for instance in secure two-party computation.<br/> In this talk, I will give an overview of cryptography based on class groups of imaginary quadratic fields and discuss recent developments.<br/> lien: http://desktop.visio.renater.fr/scopia?ID=727785***7248&autojoin
Prochains exposés
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Endomorphisms via Splittings
Orateur : Min-Yi Shen - No Affiliation
One of the fundamental hardness assumptions underlying isogeny-based cryptography is the problem of finding a non-trivial endomorphism of a given supersingular elliptic curve. In this talk, we show that the problem is related to the problem of finding a splitting of a principally polarised superspecial abelian surface. In particular, we provide formal security reductions and a proof-of-concept[…]-
Cryptography
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