Flexible HLS-Based Implementation of the Karatsuba Multiplier Targeting Homomorphic Encryption Schemes

Custom accelerators for high-precision integer arithmetic are increasingly used in compute-intensive applications, in particular homomorphic encryption schemes. This work seeks to advance a strategy for faster deployment of these accelerators using the process of high-level synthesis (HLS). Insights from existing number theory software libraries and custom hardware accelerators are used to develop a scalable implementation of Karatsuba modular polynomial multiplication. The accelerator generated from this implementation by the high-level synthesis tool Vivado HLS achieves significant speedup over the implementations available in the highly-optimized FLINT software library. This is an important first step towards a larger goal of enabling HLS-based homomorphic encryption in the cloud.