Paper 2011/203 Original: eprint.iacr.org/2011/203 ↗
Key agreement based on homomorphisms of algebraic structures
Abstract
We give a generalization of the Diffie-Hellman key agreement scheme that is based on the hardness of computing homomorphic images from an algebra to another. We formulate computational and decision versions of the homomorphic image problem and devise a key agreement protocol that is secure in the Canetti-Krawczyk model under the decision homomorphic image assumption. We also give an instantiation of the protocol using an additively homomorphic symmetric encryption scheme of Armknecht and Sadeghi. We prove that the instantiation is secure under the assumption that the encryption scheme is IND-CPA secure.
Metadata
- Available format(s)
PDF- Category
- Cryptographic protocols
- Publication info
- Preprint.
- History
- 2011-04-25: last updated
- 2011-04-25: published
- Short URL
- https://ia.cr/2011/203
- License
- https://creativecommons.org/licenses/by/4.0/
BibTeX
@misc{cryptoeprint:2011/203,
author = {Juha Partala},
title = {Key agreement based on homomorphisms of algebraic structures},
howpublished = {Cryptology {ePrint} Archive, Paper 2011/203},
year = {2011},
url = {https://eprint.iacr.org/2011/203}
}