Description
S-Boxes are essential objects in the conception of blockciphers. Typically, an S-Box is simply a permutation (bijective function) on n bits, with n small (usually 4 or 8). Its role in a blockcipher is to bring nonlinearity to the cipher, thus an S-Box must be highly nonlinear. Several parameters of a function are used to measure nonlinearity, among which the most important are differential uniformity and nonlinearity. Although we know a few permutations with good differential uniformity and nonlinearity any number of bits, implementing such S-Boxes has a high cost in general. Therefore, an important problem in symmetric cryptography is to find S-Boxes with good cryptographic parameters (differential uniformity, nonlinearity) with a low implementation cost (which implies a structure). In this presentation, we will address this problem by analyzing a few structures (Feistel, MISTY, Butterfly) which yield a low implementation cost while allowing for some cryptographically strong S-Boxes.
Next sessions
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!!! Reporté !!! 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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MIKE: An efficient and compact NIKE Based on a Commutative Monoidal Action
Speaker : Jonathan Komada Eriksen - COSIC, KU Leuven
Robert recently described a powerful correspondence between certain (Hermitian) modules and (polarized) abelian varieties, which simultaneously generalizes both the class-group action underlying protocols such as CSIDH, and the Deuring correspondence, underlying protocols such as SQIsign. Using this correspondence, he also proposed how to construct a post-quantum NIKE, called MIKE, which, at a[…]-
Cryptography
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