منابع مشابه
Fully homomorphic SIMD operations
At PKC 2010 Smart and Vercauteren presented a variant of Gentry’s fully homomorphic public key encryption scheme and mentioned that the scheme could support SIMD style operations. The slow key generation process of the Smart–Vercauteren system was then addressed in a paper by Gentry and Halevi, but their key generation method appears to exclude the SIMD style operation alluded to by Smart and V...
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We define and construct a new primitive called a fully homomorphic message authenticator. With such scheme, anybody can perform arbitrary computations over authenticated data and produce a short tag that authenticates the result of the computation (without knowing the secret key). This tag can be verified using the secret key to ensure that the claimed result is indeed the correct output of the...
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 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...
متن کاملFully Homomorphic Encryption
In these notes we describe how to use our family of random lattices Λq(A) to build a fully homomorphic encryption scheme, i.e., an encryption scheme that allows to perform arbitrary computations on encrypted messages, without knowing the secret decryption key. For simplicity, we consider private encryption schemes, where the encryption and decryption algorithms use the same secret key. This is ...
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ژورنال
عنوان ژورنال: Designs, Codes and Cryptography
سال: 2012
ISSN: 0925-1022,1573-7586
DOI: 10.1007/s10623-012-9720-4