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A Guide to Fully Homomorphic Encryption.
Frederik Armknecht,Colin Boyd,Christopher Carr,Kristian Gjøsteen,Angela Jäschke,Christian A. Reuter,Martin Strand +6 more
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Fully homomorphic encryption (FHE) has been dubbed the holy grail of cryptography, an elusive goal which could solve the IT world's problems of security and trust.Abstract:
Fully homomorphic encryption (FHE) has been dubbed the holy grail of cryptography, an elusive goal which could solve the IT world’s problems of security and trust. Research in the area exploded after 2009 when Craig Gentry showed that FHE can be realised in principle. Since that time considerable progress has been made in finding more practical and more efficient solutions. Whilst research quickly developed, terminology and concepts became diverse and confusing so that today it can be difficult to understand what the achievements of different works actually are. The purpose of this paper is to address three fundamental questions: What is FHE? What can FHE be used for? What is the state of FHE today? As well as surveying the field, we clarify different terminology in use and prove connections between different FHE notions.read more
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Journal ArticleDOI
A Survey on Homomorphic Encryption Schemes: Theory and Implementation
TL;DR: The basics of HE and the details of the well-known Partially Homomorphic Encryption and Somewhat Homomorphic encryption schemes, which are important pillars for achieving FHE, are presented and the implementations and recent improvements in Gentry-type FHE schemes are surveyed.
Book ChapterDOI
Deep Leakage from Gradients
Ligeng Zhu,Zhijian Liu,Song Han +2 more
TL;DR: In this paper, the authors show that they can obtain the private training set from the publicly shared gradients, which is called deep leakage from gradient and practically validate the effectiveness of their algorithm on both computer vision and natural language processing tasks.
Posted Content
A Survey on Homomorphic Encryption Schemes: Theory and Implementation
TL;DR: The basics of HE and the details of the well-known Partially Homomorphic Encryption and Somewhat HomomorphicEncryption, which are important pillars of achieving FHE, are presented and the main FHE families, which have become the base for the other follow-up FHE schemes are presented.
Proceedings ArticleDOI
Fast Private Set Intersection from Homomorphic Encryption
Hao Chen,Kim Laine,Peter Rindal +2 more
TL;DR: This work uses fully homomorphic encryption to construct a fast PSI protocol with a small communication overhead that works particularly well when one of the two sets is much smaller than the other, and is secure against semi-honest adversaries.
Journal ArticleDOI
Privacy-Preserving Data Mining: Methods, Metrics, and Applications
Ricardo Mendes,Joao P. Vilela +1 more
TL;DR: The most relevant PPDM techniques from the literature and the metrics used to evaluate such techniques are surveyed and typical applications of PPDD methods in relevant fields are presented.
References
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Proceedings ArticleDOI
Fully homomorphic encryption using ideal lattices
TL;DR: This work proposes a fully homomorphic encryption scheme that allows one to evaluate circuits over encrypted data without being able to decrypt, and describes a public key encryption scheme using ideal lattices that is almost bootstrappable.
MonographDOI
Computational Complexity: A Modern Approach
Sanjeev Arora,Boaz Barak +1 more
TL;DR: This beginning graduate textbook describes both recent achievements and classical results of computational complexity theory and can be used as a reference for self-study for anyone interested in complexity.
Proceedings ArticleDOI
On lattices, learning with errors, random linear codes, and cryptography
TL;DR: A public-key cryptosystem whose hardness is based on the worst-case quantum hardness of SVP and SIVP, and an efficient solution to the learning problem implies a quantum, which can be made classical.
A fully homomorphic encryption scheme
Dan Boneh,Craig Gentry +1 more
TL;DR: This work designs a somewhat homomorphic "boostrappable" encryption scheme that works when the function f is the scheme's own decryption function, and shows how, through recursive self-embedding, bootstrappable encryption gives fully homomorphic encryption.
On data banks and privacy homomorphisms
TL;DR: It appears likely that there exist encryption functions which permit encrypted data to be operated on without preliminary decryption of the operands, for many sets of interesting operations.