Contributions à la cryptographie post-quantique

Abstract : In the likely event where a quantum computer sees the light, number theoretic based cryptographic primitives being actually in use might become deciduous. This results in an important need to design schemes that could face off this new threat. Lattices and Error Correcting Codes are mathematical tools allowing to build algebraic problems, for which – up to-date – no quantum algorithm significantly speeding up their resolution is known. In this thesis, we propose four such kind cryptographic primitives: two signatures schemes (among those a traceable one) based on lattices, a signature delegation protocol using fully homomorphic encryption, and a new framework for building very efficient and practical code-based cryptosystems. These contributions are fed with concrete parameters allowing to gauge the concrete costs of security in a post-quantum world.
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Jean-Christophe Deneuville. Contributions à la cryptographie post-quantique. Cryptographie et sécurité [cs.CR]. Université de Limoges, 2016. Français. ⟨NNT : 2016LIMO0112⟩. ⟨tel-01466726⟩



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