A Fully Pipelined FIFO Based Polynomial Multiplication Hardware Architecture Based On Number Theoretic Transform

This paper presents digital hardware for computing polynomial multiplication using Number Theoretic Transform (NTT), specifically designed for implementation on Field Programmable Gate Arrays (FPGAs). Multiplying two large polynomials applies to many modern encryption schemes, including those based on Ring Learning with Error (RLWE). The proposed design uses First In, First Out (FIFO) buffers to make the design fully pipelined and capable of computing two n degree polynomials in n/2 clock cycles. This hardware proposes a two-fold reduction in the processing time of polynomial multiplication compared to state-of-the-art enabling twice as much encryption in the same amount of time. Despite that, the proposed hardware utilizes fewer resources than the fastest-reported work.