Title
Chosen-Ciphertext Secure Fully Homomorphic Encryption.
Abstract
We give three fully homomoprhic encryption FHE schemes that are secure against non-adaptive chosen ciphertext attacks CCA1. For the first two, we extend the generic transformation of Boneh, Canetti, Halevi and Katz to turn any multi-key identity-based FHE scheme into a CCA1-secure FHE scheme. We then show two instantiations of multi-key identity-based FHE: One from LWE in the random oracle model, and one from sub-exponentially secure indistinguishability obfuscation. Both constructions are compact with respect to the function evaluated homomorphically but not compact with respect to the number of ciphertext involved in the homomorphic evaluation. The third scheme uses succinct non-interactive arguments of knowledge SNARKs and is fully compact.
Year
DOI
Venue
2017
10.1007/978-3-662-54388-7_8
PKC
Field
DocType
Volume
Homomorphic encryption,Discrete mathematics,Computer science,Random oracle,Theoretical computer science,Encryption,Ciphertext,Obfuscation
Conference
10175
ISSN
Citations 
PageRank 
0302-9743
11
0.50
References 
Authors
19
4
Name
Order
Citations
PageRank
Ran Canetti111355764.53
Srinivasan Raghuraman2303.14
Silas Richelson3836.63
Vinod Vaikuntanathan45353200.79