A Shared Key Recovery Attack on a Masked Implementation of CRYSTALS-Kyber’s Encapsulation Algorithm

In July 2022, NIST selected CRYSTALS-Kyber as a new post-quantum secure public key encryption and key encapsulation mechanism to be standardized. To safeguard its shared and secret keys from side-channel attacks (SCA), countermeasures such as masking and shuffling are applied. However, the existing SCA-protected implementations of CRYSTALS-Kyber protect the decapsulation algorithm only. The encapsulation algorithm is not covered because single-trace shared key recovery attacks on encapsulation are not considered feasible. Since the same shared key is never encapsulated more than once, the attacker gets only a single trace per shared key from the execution of the encapsulation algorithm. In this paper, we demonstrate a practical single-trace shared key recovery attack on a first-order masked implementation of the encapsulation algorithm of Kyber-768 in ARM Cortex-M4 based on deep learning-assisted power analysis. Our main contribution is a new aggregation method for ensemble learning that enables enumeration during shared key recovery. Our experimental results show that a full shared key can be recovered with a 91% probability on average from a single trace captured from a different from profiling device.