NDLI: Leveled Homomorphic Encryption in Certificateless Cryptosystem

Content Provider	IET Digital Library
Author	Chen, Hu Hu, Yupu Lian, Zhizhu
Abstract	To lower communication complexity, a Certificateless homomorphic encryption (CLHE) scheme based on the Learning with errors (LWE) problem is constructed by introducing a new technique called probabilistic encoding with weakly homomorphic property. This technique can conveniently convert an intended message into two elements in a ring, which will be respectively encrypted under both public keys of a user in certificateless cryptosystem. Upon knowing both elements simultaneously, the original message can be easily recovered. It is hidden perfectly by the probabilistic property of encoding. This CLHE removes evaluation keys by using the approximate eigenvector method given by Gentry et al., which makes it into a pure CLHE. It is proven to be semantic secure in the Random oracle model (ROM). The results indicate it is able to homomorphically evaluate any functions in a class functions with given multiplicative depth L.
Starting Page	1213
Ending Page	1220
Page Count	8
ISSN	10224653
Volume Number	26
e-ISSN	20755597
Issue Number	Issue 6, Nov (2017)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/cje/26/6
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/cje.2017.07.008
Journal	Chinese Journal of Electronics
Publisher Date	2017-11-01
Access Restriction	Open
Rights Holder	© Chinese Institute of Electronics
Subject Keyword	Certificateless Cryptosystem Certificateless Homomorphic Encryption CLHE Communication Complexity Computational Complexity Cryptography Data Security Encoding Knowledge Engineering Technique Learning in AI Learning with Error LWE Probabilistic Encoding Random Oracle Model Random Processes ROM Statistics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics Electrical and Electronic Engineering

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