Paper 2002/052
A Variant of the Cramer-Shoup Cryptosystem for Groups with Unknwon Order
Stefan Lucks
Abstract
The Cramer-Shoup cryptosystem for groups of prime order is a practical public-key cryptosystem, provably secure in the standard model under standard assumptions. This paper extends the cryptosystem for groups of unknown order, namely the group of quadratic residues modulo a composed N. Two security results are: In the standard model, the scheme is provably secure if both the Decisional Diffie-Hellman assumption for QR_N *and* the factorisation assumption for N hold. In the random oracle model, the security of the scheme is provable by a quite efficient reduction.
Metadata
- Available format(s)
-
PDF
PS
- Category
- Public-key cryptography
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- public-key cryptographycomplexity theoryfactoring assumption
- Contact author(s)
- lucks @ th informatik uni-mannheim de
- History
- 2002-06-18: last of 2 revisions
- 2002-04-25: received
- See all versions
- Short URL
- https://ia.cr/2002/052
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2002/052,
author = {Stefan Lucks},
title = {A Variant of the Cramer-Shoup Cryptosystem for Groups with Unknwon Order},
howpublished = {Cryptology {ePrint} Archive, Paper 2002/052},
year = {2002},
url = {https://eprint.iacr.org/2002/052}
}
