Algorithm-hardware co-design of ultra-high radix based high throughput modular multiplier

Abstract

This paper presents an algorithm-hardware co-design of ultrahigh radix modular multiplier for high throughput modular multiplication. First, to speed up the modular multiplication, we exploit an ultra-high radix interleaved modular multiplication algorithm with a novel segmented reduction method, which reduces the number of iterations and pre-computations. Then, to further improve the throughput of the modular multiplication, we design a highly parallel modular multiplier architecture. Finally, we implement and verify the modular multiplier using the Xilinx Virtex-7 FPGA. Experimental results show it can perform a 256-bit modular multiplication in 0.56 µs with the throughput rate of up to 4999.7 Mbps.