Description
Number systems are behind a lot of implementations. The role of representation is often underrated while its importance in implementation is crucial. We survey here some classes of fundamental systems that could be used in crypotgraphy. We present three main categories:<br/> - systems based on the Chinese Remainder Theorem which enter more generally in the context of polynomial interpolation,<br/> - exotic positional number representations using original approaches,<br/> - systems adapted to operations like the exponentiation.<br/> We stay at the level of the representation system, we do not deal with all the decomposition forms that can be used for accelerating the computation.<br/> lien: http://desktop.visio.renater.fr/scopia?ID=728862***9707&autojoin
Next sessions
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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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TBA
Speaker : Anmoal Porwal - Technical University of Munich
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Cryptography
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Asymmetric primitive
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