Core Concept: Homomorphic encryption
نویسندگان
چکیده
منابع مشابه
Core Concept: Homomorphic encryption.
It turned out to be pretty easy for Yaniv Erlich to identify people who had donated their genomic data to science, even despite researchers’ attempts to make that data anonymous. Erlich, a former computer hacker hired by businesses to test the security of computer systems, only needed his tailor-made computer program and an Internet connection to access publicly available databases. Erlich, tho...
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Fully homomorphic encryption (FHE) has been called the “Swiss Army knife of cryptography”, since it provides a single tool that can be uniformly applied to many cryptographic applications. In this tutorial we study FHE and describe its different properties, relations with other concepts in cryptography, and constructions. We briefly discuss the three generations of FHE constructions since Gentr...
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Assumption We’ll make the following “learning divisor with noise” assumption: LDN Assumption: let P a random n bit prime, R a random n4 bit prime, and let N = PR. A distinguisher that is given N and X1, . . . , Xpoly(n) cannot distinguish between case (I) Xi’s are chosen independently at random from [N ], and (II) Xi = PQi + 2Ei (mod N) where Qi is chosen independently at random from [R] and Ei...
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We describe two improvements to Gentry's fully homomorphic scheme based on ideal lattices and its analysis: we provide a more aggressive analysis of one of the hardness assumptions (the one related to the Sparse Subset Sum Problem) and we introduce a probabilistic decryption algorithm that can be implemented with an algebraic circuit of low multiplicative degree. Combined together, these improv...
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In this paper, we construct subring homomorphic encryption scheme that is a homomorphic encryption scheme built on the decomposition ring, which is a subring of cyclotomic ring. In the scheme, each plaintext slot contains an integer in Zpl , rather than an element of GF(p) as in conventional homomorphic encryption schemes on cyclotomic rings. Our benchmark results indicate that the subring homo...
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ژورنال
عنوان ژورنال: Proceedings of the National Academy of Sciences
سال: 2015
ISSN: 0027-8424,1091-6490
DOI: 10.1073/pnas.1507452112