Paper 2010/182
A Simple BGN-type Cryptosystem from LWE
Craig Gentry, Shai Halevi, and Vinod Vaikuntanathan
Abstract
We construct a simple public-key encryption scheme that supports polynomially many additions and one multiplication, similar to the cryptosystem of Boneh, Goh, and Nissim (BGN). Security is based on the hardness of the learning with errors (LWE) problem, which is known to be as hard as certain worst-case lattice problems. Some features of our cryptosystem include support for large message space, an easy way of achieving formula-privacy, a better message-to-ciphertext expansion ratio than BGN, and an easy way of multiplying two encrypted polynomials. Also, the scheme can be made identity-based and leakage-resilient (at the cost of a higher message-to-ciphertext expansion ratio).
Metadata
- Available format(s)
-
PDF
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. early version in Eurocrypt 2010, this is an updated version
- Keywords
- BGN CryptosystemEvaluating 2-DNFEncrypted Bilinear FormsHomomorphic EncryptionLattice-based EncryptionLearning with Errors
- Contact author(s)
- shaih @ alum mit edu
- History
- 2010-04-09: received
- Short URL
- https://ia.cr/2010/182
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2010/182,
author = {Craig Gentry and Shai Halevi and Vinod Vaikuntanathan},
title = {A Simple BGN-type Cryptosystem from LWE},
howpublished = {Cryptology ePrint Archive, Paper 2010/182},
year = {2010},
note = {\url{https://eprint.iacr.org/2010/182}},
url = {https://eprint.iacr.org/2010/182}
}
