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Contributions to design and analysis of Fully Homomorphic Encryption schemes

Abstract : Fully Homomorphic Encryption schemes allow public processing of encrypted data. Since the groundbreaking discovery of the first FHE scheme in 2009 by Craig Gentry, an impressive amount of research has been conducted to improve efficiency, achieve new levels of security, and describe real applications and connections to other areas of cryptography. In this Dissertation, we first give a detailed account on research these past years. Our contributions include a key-recovery attack on the ideal lattices FHE scheme and a new conception of hierarchic encryption, avoiding at some extent betrayal between users while maintaining the flexibility of FHE. We also describe some implementations. This research was done in the Laboratoire de Mathématiques de Versailles, under supervision of Prof. Louis Goubin.
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  • HAL Id : tel-01827246, version 1

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Francisco Vial Prado. Contributions to design and analysis of Fully Homomorphic Encryption schemes. Cryptography and Security [cs.CR]. Université Paris-Saclay, 2017. English. ⟨NNT : 2017SACLV107⟩. ⟨tel-01827246⟩

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