Paper 2016/609

How low can you go? Using side-channel data to enhance brute-force key recovery

Jake Longo, Daniel P. Martin, Luke Mather, Elisabeth Oswald, Benjamin Sach, and Martijn Stam

Abstract

Side-channel analysis techniques can be used to construct key recovery attacks by observing a side-channel medium such as the power consumption or electromagnetic radiation of a device while is it performing cryptographic operations. These attack results can be used as auxiliary information in an enhanced brute-force key recovery attack, enabling the adversary to \emph{enumerate} the most likely keys first. We use algorithmic and implementation techniques to implement a time- and memory-efficient key \emph{enumeration} algorithm, and in tandem identify how to optimise throughput when bulk-verifying quantities of candidate AES-128 keys. We then explore how to best distribute the workload so that it can be deployed across a significant number of CPU cores and executed in parallel, giving an adversary the capability to enumerate a very large number of candidate keys. We introduce the tool \textsc{labynkyr}, developed in C++11, that can be deployed across any number of CPUs and workstations to enumerate keys in parallel. We conclude by demonstrating the effectiveness of our tool by successfully enumerating $2^{48}$ AES-128 keys in approximately 30 hours using a modest number of CPU cores, at an expected cost of only 700 USD using a popular cloud provider.