References of "Naccache, David"
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See detailThe New Codebreakers - Essays Dedicated to David Kahn on the Occasion of His 85th Birthday
Ryan, Peter UL; Naccache, David; Quisquater, Jean-Jacques

Book published by Springer (2016)

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See detailFully Homomorphic Encryption over the Integers with Shorter Public Keys
Coron, Jean-Sébastien UL; Mandal, Avradip UL; Naccache, David et al

in CRYPTO (2011)

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See detailPractical Cryptanalysis of ISO/IEC 9796-2 and EMV Signatures
Coron, Jean-Sébastien UL; Naccache, David; Tibouchi, Mehdi UL et al

in Proceedings of CRYPTO 2009 (2009)

In 1999, Coron, Naccache and Stern discovered an existential signature forgery for two popular RSA signature standards, ISO/IEC 9796-1 and 2. Following this attack ISO/IEC 9796-1 was withdrawn. ISO/IEC ... [more ▼]

In 1999, Coron, Naccache and Stern discovered an existential signature forgery for two popular RSA signature standards, ISO/IEC 9796-1 and 2. Following this attack ISO/IEC 9796-1 was withdrawn. ISO/IEC 9796-2 was amended by increasing the message digest to at least 160 bits. Attacking this amended version required at least 2^{61} operations. In this paper, we exhibit algorithmic refinements allowing to attack the amended (currently valid) version of ISO/IEC 9796-2 for all modulus sizes. A practical forgery was computed in only two days using 19 servers on the Amazon EC2 grid for a total cost of $\simeq$ US$800. The forgery was implemented for e?= 2 but attacking odd exponents will not take longer. The forgery was computed for the RSA-2048 challenge modulus, whose factorization is still unknown. The new attack blends several theoretical tools. These do not change the asymptotic complexity of Coron et al.’s technique but significantly accelerate it for parameter values previously considered beyond reach. While less efficient (US$45,000), the acceleration also extends to EMV signatures. EMV is an ISO/IEC 9796-2-compliant format with extra redundancy. Luckily, this attack does not threaten any of the 730 million EMV payment cards in circulation for operational reasons. Costs are per modulus: after a first forgery for a given modulus, obtaining more forgeries is virtually immediate. [less ▲]

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See detailFault Attacks on RSA Signatures with Partially Unknown Messages
Coron, Jean-Sébastien UL; Joux, Antoine; Kizhvatov, Ilya UL et al

in Proceedings of CHES 2009 (2009)

Fault attacks exploit hardware malfunctions to recover secrets from embedded electronic devices. In the late 90’s, Boneh, DeMillo and Lipton introduced fault-based attacks on CRt-RSA. These attacks factor ... [more ▼]

Fault attacks exploit hardware malfunctions to recover secrets from embedded electronic devices. In the late 90’s, Boneh, DeMillo and Lipton introduced fault-based attacks on CRt-RSA. These attacks factor the signer’s modulus when the message padding function is deterministic. However, the attack does not apply when the message is partially unknown, for example when messages contain some randomness which is recovered only when verifying a correct signature. In this paper we successfully extends rsa fault attacks to a large class of partially known message configurations. The new attacks rely on Coppersmith’s algorithm for finding small roots of multivariate polynomial equations. We illustrate the approach by successfully attacking several randomized versions of the ISO/IEC 9796-2 encoding standard. Practical experiments show that a 2048-bit modulus can be factored in less than a minute given one faulty signature containing 160 random bits and an unknown 160-bit message digest. [less ▲]

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See detailCryptanalysis of ISO/IEC 9796-1
Coppersmith, Don; Coron, Jean-Sébastien UL; Grieu, François et al

in Journal of Cryptology (2008), 21(1), 2751

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