572 research outputs found
Cryptographic Schemes based on Elliptic Curve Pairings
This thesis introduces the concept of certificateless public key
cryptography (CLPKC). Elliptic curve pairings are then used to
make concrete CL-PKC schemes and are also used to make other
efficient key agreement protocols.
CL-PKC can be viewed as a model for the use of public key cryptography
that is intermediate between traditional certificated PKC and ID-PKC.
This is because, in contrast to traditional public key cryptographic
systems, CL-PKC does not require the use of certificates to guarantee
the authenticity of public keys. It does rely on the use of a trusted
authority (TA) who is in possession of a master key. In this
respect, CL-PKC is similar to identity-based public key
cryptography (ID-PKC). On the other hand, CL-PKC does not suffer
from the key escrow property that is inherent in ID-PKC.
Applications for the new infrastructure are discussed.
We exemplify how CL-PKC schemes can be constructed by constructing
several certificateless public key encryption schemes and
modifying other existing ID based schemes. The lack of
certificates and the desire to prove the schemes secure in the
presence of an adversary who has access to the master key or has
the ability to replace public keys, requires the careful
development of new security models. We prove that some of our
schemes are secure, provided that the Bilinear Diffie-Hellman
Problem is hard.
We then examine Joux’s protocol, which is a one round, tripartite
key agreement protocol that is more bandwidth-efficient than any
previous three-party key agreement protocol, however, Joux’s protocol
is insecure, suffering from a simple man-in-the-middle attack. We
show how to make Joux’s protocol secure, presenting several tripartite,
authenticated key agreement protocols that still require only one round
of communication. The security properties of the new protocols are
studied. Applications for the protocols are also discussed
On the Relations Between Diffie-Hellman and ID-Based Key Agreement from Pairings
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
Still Wrong Use of Pairings in Cryptography
Several pairing-based cryptographic protocols are recently proposed with a
wide variety of new novel applications including the ones in emerging
technologies like cloud computing, internet of things (IoT), e-health systems
and wearable technologies. There have been however a wide range of incorrect
use of these primitives. The paper of Galbraith, Paterson, and Smart (2006)
pointed out most of the issues related to the incorrect use of pairing-based
cryptography. However, we noticed that some recently proposed applications
still do not use these primitives correctly. This leads to unrealizable,
insecure or too inefficient designs of pairing-based protocols. We observed
that one reason is not being aware of the recent advancements on solving the
discrete logarithm problems in some groups. The main purpose of this article is
to give an understandable, informative, and the most up-to-date criteria for
the correct use of pairing-based cryptography. We thereby deliberately avoid
most of the technical details and rather give special emphasis on the
importance of the correct use of bilinear maps by realizing secure
cryptographic protocols. We list a collection of some recent papers having
wrong security assumptions or realizability/efficiency issues. Finally, we give
a compact and an up-to-date recipe of the correct use of pairings.Comment: 25 page
Two-Party Threshold Key Agreement Protocol for MANETs using Pairings
In MANET environment, the nodes are mobile i.e., nodes move in and out dynamically. This causes difficulty in maintaining a central trusted authority say Certification Authority CA or Key Generation Centre KCG. In addition most of cryptographic techniques need a key to be shared between the two communicating entities. So to introduce security in MANET environment, there is a basic need of sharing a key between the two communicating entities without the use of central trusted authority. So we present a decentralized two-party key agreement protocol using pairings and threshold cryptography ideas. Our model is based on Joux2019;s three-party key agreement protocol which does not authenticate the users and hence is vulnerable to man-in-the-middle attack. This model protects from man-in-the-middle attack using threshold cryptography
A-MAKE: an efficient, anonymous and accountable authentication framework for WMNs
In this paper, we propose a framework, named as A-MAKE, which efficiently provides security, privacy, and accountability for communications in wireless mesh networks. More specifically, the framework provides an anonymous mutual authentication protocol whereby legitimate users can connect to network from anywhere without being identified or tracked. No single party (e.g., network operator) can violate the privacy of a user, which is provided in our framework in the strongest sense. Our framework utilizes group signatures, where the private key and the credentials of the users are generated through a secure three-party protocol. User accountability is implemented via user revocation protocol that can be executed by two semitrusted authorities, one of which is the network operator. The assumptions about the trust level of the network operator are relaxed. Our framework makes use of much more efficient signature generation and verification algorithms in terms of computation complexity than their counterparts in literature, where signature size is comparable to the shortest signatures proposed for similar purposes so far
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