The Doubling Attack – Why Upwards Is Better than Downwards [chapter]

Pierre-Alain Fouque, Frederic Valette
2003 Lecture Notes in Computer Science  
The recent developments of side channel attacks have lead implementers to use more and more sophisticated countermeasures in critical operations such as modular exponentiation, or scalar multiplication in the elliptic curve setting. In this paper, we propose a new attack against a classical implementation of these operations that only requires two queries to the device. The complexity of this so-called "doubling attack" is much smaller than previously known ones. Furthermore, this approach
more » ... ts two of the three countermeasures proposed by Coron at CHES '99.
doi:10.1007/978-3-540-45238-6_22 fatcat:x7fce7adm5e35mrrdvwyj3ruo4