System and method for calculating faster ECC scalar multiplication on FPGA

Disclosed are a system and method for calculating elliptic curve cryptography scalar multiplication using an FPGA (Field Programmable Gate Array), the system and method scheduling calculation, which is used in a Montgomery ladder Algorithm, and enabling efficient calculation through an improved modular arithmetic calculation method. The system for calculating elliptic curve cryptography (ECC) scalar multiplication using an FPGA includes: a scheduler implementing Montgomery ladder step calculation in a pipeline structure; a pipeline modular adder/subtractor implementing n-bit modular addition in a d-stage pipeline structure; and a modular multiplier implementing n-bit modular multiplication in a 10-stage pipeline structure up to maximum 256 bits.