منابع مشابه
Homomorphic Encryption
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...
متن کاملHomomorphic Encryption 4 : Construction of fully homomorphic encryption .
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...
متن کاملFaster Fully Homomorphic Encryption
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...
متن کاملSubring Homomorphic Encryption
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...
متن کاملFully Homomorphic Encryption
Achieving fully homomorphic encryption, under any kind of reasonable computational assumptions (and under any reasonable definition of ”reasonable”..), was a holy grail of cryptography for many years until finally achieved by Craig Gentry in 2009. In these lectures we’ll describe a somewhat simplified variant of Gentry’s construction obtained by van Dijk, Gentry, Halevi and Vaikuntanathan (with...
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ژورنال
عنوان ژورنال: Procedia Computer Science
سال: 2013
ISSN: 1877-0509
DOI: 10.1016/j.procs.2013.09.310