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Paper 2017/698
Noise Distributions in Homomorphic Ring-LWE
Sean Murphy and Rachel Player
Abstract
We develop a statistical framework to analyse the Ring-LWE processes of A Toolkit for Ring-LWE Cryptography (Eurocrypt 2013) and similar processes. We consider the $\delta$-subgaussian random variables used in the Toolkit and elsewhere in the literature, and we give a simple and complete characterisation of such random variables. We then apply our results to the homomorphic cryptosystem provided as an example application in the Toolkit. We show that the $\delta$-subgaussian approach as used in the Toolkit to argue correctness of this cryptosystem is flawed, and we also rectify this analysis using our developed statistical framework.
Metadata
- Available format(s)
- Publication info
- Preprint. MINOR revision.
- Keywords
- Ring Learning with ErrorsSubgaussian Random VariableHomomorphic Encryption.
- Contact author(s)
- s murphy @ rhul ac uk
- History
- 2019-04-04: last of 4 revisions
- 2017-07-21: received
- See all versions
- Short URL
- https://ia.cr/2017/698
- License
-
CC BY