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Titre : Cryptanalysis and design of symmetric primitives defined over large finite fields
Date : 27 novembre 2023
Heure: 14:00
Résumé : Recently, new symmetric cryptographic primitives have been proposed for advanced protocols, like multi-party computation, in combination with a fully homomorphic encryption or in systems of zero-knowledge proofs. Such protocols are parts of a context marked by the development of cloud and blockchain technologies. These protocols have put forward the need to minimize the number of multiplications performed by the primitive in large finite fields. Classical symmetric algorithms are then inappropriate and the new protocols must be combined with symmetric primitives with particular properties. While the number of designs defined over large fields, called "arithmetisation-oriented", is increasing significantly, few cryptanalysis works have been proposed. The first aim of this manuscript is to contribute to fill this gap, and hence to better understand the specificities of these new objects. We also propose a new vision to design such primitives, covering both aspects of cryptology.
Lieu : Inria Paris, Salle Jacques Louis Lions, Bâtiment C, 2 rue Simone Iff, 75589 Paris Cedex 12