CBM-TI: Code-Based Masking against Glitches by Hybridization with Threshold Implementation

Code-Based Masking (CBM) has been introduced to enhance high-order Boolean masking by increasing its resistance order via further decorrelating the coordinates of each symbol involved in the computation. Additionally, CBM enables cost amortization and fault detection. Notably, as demonstrated at CHES 2024, CBM facilitates the computation of provably masked operations under the Strong Non-Interference (SNI) security assumption with quasi-linear complexity. On the other hand, Threshold Implementation (TI) serves as an extension of Boolean masking, armoring it against combinational hazards. In this article, we show that merits of CBM and TI can be combined, paving the way to more secure hardware (high-order) masked implementations. We demonstrate CBM-TI, which is proven secure as well under SNI assumption and security when glitches worsen the leakage model.