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
Next sessions
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Encryption homomorphe sans bruit à l'aide de groupes
Speaker : Pierre Guillot - Ravel Technologies (dispo Université de Strasbourg, IRMA)
Je vais rappeler les travaux de Nuida et Ostrovski sur l'utilisation des groupes pour l'élaboration de schémas cryptographiques homomorphes. Je vais présenter nos travaux qui fournissent des encodages à la fois plus efficaces et plus généraux, et qui déterminent exactement quels groupes peuvent être utilisés. Puis je vais discuter GRAFHEN, un protocole qui utilise ces idées. Je dirai juste[…]-
Cryptography
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