Partial Key Exposure Attacks on RSA

Dr Benne de Weger

Technische Universiteit Eindhoven

RSA implementations may leak bits of the private exponent by side channel attacks, such as DPA on smart card implementations. When a sufficiently large part of the private key is known to an attacker, he can use number-theoretic methods to compute the full private key and factor the RSA modulus. This is based on Coppersmith's methods for finding small zeroes of polynomials, diophantine approximation techniques and lattice basis reduction algortihms. The talk will present the latest developments in this area. This is joint work with Matthias Ernst and Alexander May (Univ. Paderborn) and Ellen Jochemsz (TU Eindhoven).