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The Twin Diffie–Hellman Problem and Applications [PDF]
Journal of Cryptology, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
David M. Cash, Eike Kiltz, Victor Shoup
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An Alternative Diffie-Hellman Protocol [PDF]
Cryptography, 2020 The Diffie–Hellman protocol, ingenious in its simplicity, is still the major solution in protocols for generating a shared secret in cryptography for e-trading and many other applications after an impressive number of decades. However, lately, the threat from a future quantum computer has prompted successors resilient to quantum computer-based attacks.
Eric Järpe
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Quantum Diffie-Hellman Extended to Dynamic Quantum Group Key Agreement for e-Healthcare Multi-Agent Systems in Smart Cities. [PDF]
Sensors (Basel), 2020 Naresh VS +3 more
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On the Distribution of the Diffie–Hellman Pairs
Finite Fields and Their Applications, 2002 Let \(F_{p}\) be a prime field of \(p\) elements and \(g\) be an element of \(F_{p}\) with multiplicative order \(t\) modulo \(p\). The security of the Diffie-Hellman scheme is based on the complexity of solving \(x\) mod \(t\) given \(g^{x}\bmod p\).
Igor E Shparlinski
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Variations of Diffie-Hellman Problem
Lecture Notes in Computer Science, 2003 This paper studies various computational and decisional Diffie-Hellman problems by providing reductions among them in the high granularity setting. We show that all three variations of computational Diffie-Hellman problem: square Diffie-Hellman problem, inverse Diffie-Hellman problem and divisible Diffie-Hellman problem, are equivalent with optimal ...
Robert H Deng +2 more
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Secure Bilinear Diffie-Hellman Bits
, 2004 The Weil and Tate pairings are a popular new gadget in cryptography and have found many applications, including identity-based cryptography. In particular, the pairings have been used for key exchange protocols.
Steven D. Galbraith⋆ +2 more
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On the security of a novel probabilistic signature based on bilinear square Diffie-Hellman problem and its extension. [PDF]
ScientificWorldJournal, 2014 Zhao Z, Shi W.
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On the index of the Diffie–Hellman mapping [PDF]
Applicable Algebra in Engineering, Communication and Computing, 2020 In this paper, the authors determine the index of the univariate Diffie-Hellman mapping \(d(\gamma^a) = \gamma^{a^2}\), \(0 \le a \le n-1\), and \(\gamma\) is a generator of a cyclic group \(G\) of order \(n\). They show that any mapping of small index coincides with \(d\) only on a small subset of \(G\).
Işık Lavrauw, Leyla, Winterhof, Arne
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An Algebraic Framework for Diffie-Hellman Assumptions [PDF]
Journal of Cryptology, 2013 Funded by a Sofja Kovalevskaja Award of the Alexander von Humboldt Foundation and the German Federal Ministry for Education and Research. Partially supported by the Spanish Government through projects MTM2009-07694 and Consolider Ingenio 2010 CDS2007-00004 ARES.
Alex Escala +4 more
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Easy Decision Diffie-Hellman Groups [PDF]
LMS Journal of Computation and Mathematics, 2004 AbstractThe decision Diffie-Hellman problem (DDH) is a central computational problem in cryptography. It is known that the Weil and Tate pairings can be used to solve many DDH problems on elliptic curves. Distortion maps are an important tool for solving DDH problems using pairings, and it is known that distortion maps exist for all super-singular ...
Steven D. Galbraith, Victor Rotger
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