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Abstract: In this paper we present the first lattice attack on an authenticated key agreement protocol, which does not use a digital signature algorithm to produce the authentication. We present a two stage attack on MQV in which one party may recover the other party's static private key from partial knowledge of the nonces from several runs of the protocol. The first stage reduces the attack to a hidden number problem which is partially solved by considering a closest vector problem and using... (Update)
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BibTeX entry: (Update)
P. J. Leadbitter and N. P. Smart. Cryptanalysis of MQV with partially known nonces. Cryptology ePrint Archive: Report 2002/145, 2002 http://citeseer.ist.psu.edu/leadbitter02cryptanalysis.html More
@misc{ leadbitter02cryptanalysis,
author = "P. Leadbitter and N. Smart",
title = "Cryptanalysis of MQV with partially known nonces",
text = "P. J. Leadbitter and N. P. Smart. Cryptanalysis of MQV with partially known
nonces. Cryptology ePrint Archive: Report 2002/145, 2002",
year = "2002",
url = "citeseer.ist.psu.edu/leadbitter02cryptanalysis.html" }
Citations (may not include all citations):227 Factoring polynomials with rational coefficients (context) - Lenstra, Lenstra et al. - 1982
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63 Monte Carlo methods for index computation (context) - Pollard - 1978
60 Lattice basis reduction: Improved practical algorithms and s.. - Schnorr, Euchner - 1994
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34 The insecurity of the Digital Signature Algorithm with parti.. - Nguyen, Shparlinski
26 Cryptanalysis of RSA with private key d less than N - Boneh, Durfee - 1999
19 Lattice reduction in cryptology: An update - Nguyen, Stern - 2000
16 Lattice attacks on digital signature schemes (context) - Howgrave-Graham, Smart - 2001
13 An efficient protocol for authenticated key agreement - Law, Menezes et al.
8 asz lattice reduction and the nearest lattice point problem (context) - Babai - 1986
6 The Modular Inversion Hidden Number Problem - Boneh, Halevi et al. - 2001
3 Solving exponential diophantine equations using lattice basi.. (context) - de Weger - 1987
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