HIGH: Harnessing GPU Parallelism for Optimized HQC Performance

Hamming Quasi-Cyclic (HQC) was a candidate algorithm in the fourth round of the National Institute of Standards and Technology (NIST) post-quantum cryptography (PQC) standardization process and was ultimately selected as a standardized cryptographic scheme in the latest round. To date, although HQC has been optimized for FPGA, CPU, and other platforms, research on GPU-based parallel acceleration remains significantly underexplored. Given this, our research aims to investigate the feasibility and efficiency of hand-optimized HQC implementations on GPU, addressing the current research gap in GPU-based implementations of code-based cryptographic algorithms. In this paper, we introduce a High-performance Implementation of GPU-based HQC, named HIGH. First, we propose a novel architecture for coding-based PQC implementations, significantly reducing redundant global memory access through core fusion. Second, we design a HIKD structure for HIGH, combining a high-order multiplication scheme (HIK) and a low-order multiplication scheme (HID), achieving an impressive 85.6% improvement over Official fourth round Optimized Implementation. Third, through extensive experimentation, we sought the optimal HIKD combination and identified the optimal parallel parameters, leveraging these optimizations, HIGH surpasses current state-of-the-art benchmarks, with Key Generation, Encapsulation, and Decapsulation performance increased by 20×, 32×, and 39×, respectively.