On the Impacts of Mathematical Realization over Practical Security of Leakage Resilient Cryptographic Schemes
Guangjun Fan, Yongbin Zhou, François‐Xavier Standaert, Dengguo Feng · 2013
Abstract. In real world, in order to transform an abstract and generic cryptographic scheme into actual physical implementation, one usually undergoes two processes: mathematical realization at algorithmic level and physical realization at implementation level. In the former process, the abstract and generic cryptographic scheme is transformed into an exact and specific mathematical scheme, while in the latter process the output of mathematical realization is being transformed into a physi-cal cryptographic module runs as a piece of software, or hardware, or combination of both. In black-box model (i.e. leakage-free setting), a cryptographic scheme can be mathematically realized without affecting its theoretical security as long as the mathematical components meet the required cryptographic properties. However, up to now, no previous work formally show that whether one can mathematically realize a leak-age resilient cryptographic scheme in existent ways without affecting its practical security.