Combined Attack on CRT-RSA. Why Public Verification Must Not Be Public?
Idioma
en
Communication dans un congrès
Este ítem está publicado en
PKC 2013 - Public-Key Cryptography, 2013-02-26, Nara. 2013, vol. 7778, p. 198-215
Springer
Resumen en inglés
This article introduces a new Combined Attack on a CRT-RSA implementation resistant against Side-Channel Analysis and Fault Injection attacks. Such implementations prevent the attacker from obtaining the signature when a ...Leer más >
This article introduces a new Combined Attack on a CRT-RSA implementation resistant against Side-Channel Analysis and Fault Injection attacks. Such implementations prevent the attacker from obtaining the signature when a fault has been induced during the computation. Indeed, such a value would allow the attacker to recover the RSA private key by computing the $gcd$ of the public modulus and the faulty signature. The principle of our attack is to inject a fault during the signature computation and to perform a Side-Channel Analysis targeting a sensitive value processed during the Fault Injection countermeasure execution. The resulting information is then used to factorize the public modulus, leading to the disclosure of the whole RSA private key. After presenting a detailed account of our attack, we explain how its complexity can be significantly reduced by using lattice reduction techniques. We also provide simulations that confirm the efficiency of our attack as well as two different countermeasures having a very small impact on the performance of the algorithm. As it performs a Side-Channel Analysis during a Fault Injection countermeasure to retrieve the secret value, this article recalls the need for Fault Injection and Side-Channel Analysis countermeasures as monolithic implementations.< Leer menos
Palabras clave en inglés
Combined Attacks
CRT-RSA
Coppersmith's methods
Fault Injection
Side-Channel Analysis
Orígen
Importado de HalCentros de investigación