Description
Elliptic Curve Cryptography (ECC) is believed to be unbreakable in the black box model, where the cryptanalyst has access to inputs and outputs only. However, it is not enough if the cryptosystem is embedded on a device that is physically accessible to potential attackers. In addition to inputs and outputs, the attacker can study the physical behaviour of the device such as the execution time or the power consumption. These attacks are called side-channel attacks.<br/> In this talk we present some attacks we called Same-Values Analysis. The attacks are named after the same principle: they take advantage of same values occurring within an Elliptic Curve Scalar Multiplication (ECSM). They differ from the targeted implementation or from the method used to detect the occurrence of the same values. In the first part of the talk, we analyse the Unified Formulae and the Side-Channel Atomicity countermeasures. These countermeasures permit to protect against one of the first side-channel attack on ECC: the Simple Power Analysis. We show that these coutermeasures bring vulnerabilities since they succumbs to some of our Same-Values Analysis. The attacks are powerful since the attacker does not need to know the input or output point of the ECSM. Moreover, only a single trace is required to recover all bits of the scalar.<br/> In the second part, we focus on another Same-Values Analysis. It exploits the occurrence of particular points. These points verify that, within an elliptic curve operation (e.g. an addition or a doubling), two distinct intermediate variables have the same values. The attacker chooses the suitable base point such that the particular point will occur during the ECSM only if some conditions of the scalar are met.
Prochains exposés
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Key Attack on the ACDGV Matrix Encryption Scheme
Orateur : Anmoal Porwal - Technical University of Munich
I will present our key-recovery attack on the ACDGV public-key encryption scheme proposed at ASIACRYPT 2024 by Aragon, Couvreur, Dyseryn, Gaborit, and Vinçotte. The secret key is a Gabidulin code hidden by appending random rows and columns and by left- and right-multiplication with invertible matrices. Our attack exploits the resulting algebraic structure to recover an equivalent secret key. It[…]-
Cryptography
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Asymmetric primitive
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Module Learning With Errors and Structured Extrapolated Dihedral Cosets
Orateur : Jinwei Zheng - Télécom Paris
The Module Learning With Errors (MLWE) problem is the fundamental hardness assumption underlying the key encapsulation and signature schemes ML-KEM and ML-DSA, which have been selected by NIST for post-quantum cryptography standardization. Understanding its quantum hardness is crucial for assessing the security of these standardized schemes. Inspired by the equivalence between LWE and[…]-
Cryptography
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European Cyber Week: atelier cryptographie post-quantique
Dans la continuité des éditions 2021, 2022 et 2024, la DGA — en partenariat avec CREACH LABS et avec le soutien de l'ANSSI, de l'IRISA, de l'IRMAR et du Pôle d'Excellence Cyber — organise la 4e édition de l'atelier consacré à la cryptographie post-quantique dans le cadre de l'European Cyber Week 2026. Attention, il faut s'inscrire (gratuitement) au préalable — s'inscrire à la conférence Les[…] -
Journée post-quantique du séminaire crypto
Journée scientifique sur la cryptographie post-quantique dans la foulée de l'European Cyber Week avec des exposés plus techniques que ceux de l'ECW.