Paper 2009/437
On the Relations Between Diffie-Hellman and ID-Based Key Agreement from Pairings
Shengbao Wang
Abstract
This paper studies the relationships between the traditional Diffie-Hellman key agreement protocol and the identity-based (ID-based) key agreement protocol from pairings. For the Sakai-Ohgishi-Kasahara (SOK) ID-based key construction, we show that identical to the Diffie-Hellman protocol, the SOK key agreement protocol also has three variants, namely \emph{ephemeral}, \emph{semi-static} and \emph{static} versions. Upon this, we build solid relations between authenticated Diffie-Hellman (Auth-DH) protocols and ID-based authenticated key agreement (IB-AK) protocols, whereby we present two \emph{substitution rules} for this two types of protocols. The rules enable a conversion between the two types of protocols. In particular, we obtain the \emph{real} ID-based version of the well-known MQV (and HMQV) protocol. Similarly, for the Sakai-Kasahara (SK) key construction, we show that the key transport protocol underlining the SK ID-based encryption scheme (which we call the ``SK protocol") has its non-ID counterpart, namely the Hughes protocol. Based on this observation, we establish relations between corresponding ID-based and non-ID-based protocols. In particular, we propose a highly enhanced version of the McCullagh-Barreto protocol.
Note: Some typo's were corrected.
Metadata
- Available format(s)
-
PDF
PS
- Category
- Cryptographic protocols
- Publication info
- Published elsewhere. Unknown where it was published
- Keywords
- key agreementDiffie-HellmanID-MQVeMB
- Contact author(s)
- shengbaowang @ gmail com
- History
- 2009-09-10: last of 2 revisions
- 2009-09-08: received
- See all versions
- Short URL
- https://ia.cr/2009/437
- License
-
CC BY
BibTeX
@misc{cryptoeprint:2009/437,
author = {Shengbao Wang},
title = {On the Relations Between Diffie-Hellman and {ID}-Based Key Agreement from Pairings},
howpublished = {Cryptology {ePrint} Archive, Paper 2009/437},
year = {2009},
url = {https://eprint.iacr.org/2009/437}
}
