1,109 research outputs found
An identity-based key infrastructure suitable for messaging applications
Abstract—Identity-based encryption (IBE) systems are relatively recently proposed; yet they are highly popular for messaging applications since they offer new features such as certificateless infrastructure and anonymous communication. In this paper, we intended to propose an IBE infrastructure for
messaging applications. The proposed infrastructure requires one registration authority and at least one public key generator and they secret share the master secret key. In addition, the PKG also shares the same master secret with each user in the system in a different way. Therefore, the PKG will never be able to learn the private keys of users under non-collusion assumption. We discuss different aspects of the proposed infrastructure such as security, key revocation, uniqueness of the identities that constitute the main drawbacks of other IBE schemes. We demonstrate that our infrastructure solves many of these drawbacks under certain assumptions
Efficient algorithms for pairing-based cryptosystems
We describe fast new algorithms to implement recent cryptosystems based on the Tate pairing. In particular, our techniques improve pairing evaluation speed by a factor of about 55 compared to previously known methods in characteristic 3, and attain performance comparable
to that of RSA in larger characteristics.We also propose faster algorithms for scalar multiplication in characteristic 3 and square root extraction
over Fpm, the latter technique being also useful in contexts other than that of pairing-based cryptography
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
Identity based cryptography from bilinear pairings
This report contains an overview of two related areas of research in cryptography
which have been prolific in significant advances in recent years. The first of
these areas is pairing based cryptography. Bilinear pairings over elliptic curves
were initially used as formal mathematical tools and later as cryptanalysis tools
that rendered supersingular curves insecure. In recent years, bilinear pairings
have been used to construct many cryptographic schemes. The second area
covered by this report is identity based cryptography. Digital certificates are
a fundamental part of public key cryptography, as one needs a secure way of
associating an agent’s identity with a random (meaningless) public key. In
identity based cryptography, public keys can be arbitrary bit strings, including
readable representations of one’s identity.Fundação para a Ci~Encia e Tecnologia - SFRH/BPD/20528/2004
Solving discrete logarithms on a 170-bit MNT curve by pairing reduction
Pairing based cryptography is in a dangerous position following the
breakthroughs on discrete logarithms computations in finite fields of small
characteristic. Remaining instances are built over finite fields of large
characteristic and their security relies on the fact that the embedding field
of the underlying curve is relatively large. How large is debatable. The aim of
our work is to sustain the claim that the combination of degree 3 embedding and
too small finite fields obviously does not provide enough security. As a
computational example, we solve the DLP on a 170-bit MNT curve, by exploiting
the pairing embedding to a 508-bit, degree-3 extension of the base field.Comment: to appear in the Lecture Notes in Computer Science (LNCS
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
More Discriminants with the Brezing-Weng Method
The Brezing-Weng method is a general framework to generate families of
pairing-friendly elliptic curves. Here, we introduce an improvement which can
be used to generate more curves with larger discriminants. Apart from the
number of curves this yields, it provides an easy way to avoid endomorphism
rings with small class number
A Certificate-Based Proxy Signature with Message Recovery without Bilinear Pairing
In this paper, we propose the first provable secure certificate-based proxy signature with message recovery without bilinear pairing. The notion of certificate-based cryptography was initially introduced by Gentry in 2003, in order to simplify certificate management in traditional public key cryptography(PKC)and to solve the key escrow problem in identity-based cryptosystems. To date, a number of certificate-based proxy signature(CBPS)schemes from bilinear pairing have been proposed. Nonetheless, the total computation cost of a pairing is higher than that of scalar multiplication(e.g., over elliptic curve group). Consequently, schemes without pairings would be
more appealing in terms of efficiency. According to the available research in this regard, our scheme is the first provable secure CBPS scheme with message recovery which is based on the elliptic curve discrete logarithm problem. We prove the security of the presented scheme against existential forgery under adaptive chosen message and ID attacks in the random oracle model. Moreover, the paper will also show how it would be possible to convert this scheme to the CBPS scheme without message recovery. This scheme has more applications in situations with limited bandwidth and power-constrained devices
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