GIF-FHE: A Comprehensive Implementation and Evaluation of GPU-Accelerated FHE With Integer and Floating-Point Computing Power

Fully Homomorphic Encryption (FHE) allows computations on encrypted data without revealing the plaintext, garnering significant interest from both academic and industrial communities. However, its broader adoption has been hindered by performance limitations. Consequently, researchers have turned to GPUs for efficient FHE implementation. Nevertheless, most have predominantly favored integer units due to their ease of use, overlooking the considerable computational potential of floating-point units in GPUs. Recognizing this untapped floating-point computational power, our article introduces GIF-FHE, an extensive exploration and implementation of FHE, leveraging GPUs’ integer and floating-point instructions for FHE acceleration. We develop a comprehensive suite of low-level and middle-level FHE primitives, offering multiple implementation variants with support for three word size configurations ($64/52/32$.