This research presents a novel binary Edwards curve (BEC) accelerator designed specifically
for resource-constrained embedded systems. The proposed accelerator incorporates the fixed window
algorithm, a two-stage pipelined architecture, and the Montgomery radix-4 multiplier. As a result,
it achieves remarkable performance improvements in throughput and resource utilization. Experimental
results, conducted on various Xilinx Field Programmable Gate Arrays (FPGAs), demonstrate
impressive throughput/area ratios observed for GF(2233). The achieved ratios for Virtex-4, Virtex-5,
Virtex-6, and Virtex-7 are 12.2, 19.07, 36.01, and 38.39, respectively. Furthermore, the processing
time for one-point multiplication on a Virtex-7 platform is 15.87 μs. These findings highlight the
effectiveness of the proposed accelerator for improved throughput and optimal resource utilization