과제정보
• This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. 2020R1I1A3A04038083) • The authors are thankful to IDEC for EDA tool support
모듈러 곱셈은 ECC의 점 스칼라 곱셈을 위한 핵심 연산이며, ECC 프로세서의 성능에 영향을 미치는 가장 중요한 요소이다. 본 논문에서는 3-way Toom-Cook 곱셈 알고리듬과 수정된 고속 축약 알고리듬을 적용한 256-비트 모듈러 곱셈기 설계에 대해 기술한다. 90-비트 곱셈기 1개와 264-비트 가산기 3개가 사용되었으며, 하드웨어 크기와 소요 클록 사이클 수 사이의 최적화를 이루었다. Zynq UltraScale+ MPSoC 디바이스에 구현하여 모듈러 곱셈기를 검증하였으며, 모듈러 곱셈 연산에 15 클록 사이클이 소요된다.
Modular multiplication is a key operation for point scalar multiplication of ECC, and is the most important factor affecting the performance of ECC processor. This paper describes a design of a 256-bit modular multiplier that adopts 3-way Toom-Cook multiplication algorithm and modified fast reduction algorithm. One 90-bit multiplier and three 264-bit adders were used to optimize the hardware size and the number of clock cycles required. The modular multiplier was verified by implementing it using Zynq UltraScale+ MPSoC device and the modular multiplication operation takes 15 clock cycles.
• This work was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (No. 2020R1I1A3A04038083) • The authors are thankful to IDEC for EDA tool support