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IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 2008 E91-A(4):971-977; doi:10.1093/ietfec/e91-a.4.971
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Copyright © 2008 The Institute of Electronics, Information and Communication Engineers

Special Section on Selected Papers from the 20th Workshop on Circuits and Systems in Karuizawa -- Papers

A High-Speed Design of Montgomery Multiplier

Yibo FAN1, Takeshi IKENAGA1 and Satoshi GOTO1

1 The authors are with IPS, Waseda University, Kitakyushu-shi, 808-0135 Japan. E-mail: fanyibo{at}ruri.waseda.jp


  Abstract

With the increase of key length used in public cryptographic algorithms such as RSA and ECC, the speed of Montgomery multiplication becomes a bottleneck. This paper proposes a high speed design of Montgomery multiplier. Firstly, a modified scalable high-radix Montgomery algorithm is proposed to reduce critical path. Secondly, a high-radix clock-saving dataflow is proposed to support high-radix operation and one clock cycle delay in dataflow. Finally, a hardware-reused architecture is proposed to reduce the hardware cost and a parallel radix-16 design of data path is proposed to accelerate the speed. By using HHNEC 0.25 µm standard cell library, the implementation results show that the total cost of Montgomery multiplier is 130 KGates, the clock frequency is 180 MHz and the throughput of 1024-bit RSA encryption is 352 kbps. This design is suitable to be used in high speed RSA or ECC encryption/decryption. As a scalable design, it supports any key-length encryption/decryption up to the size of on-chip memory.

Key Words: Montgomery multiplier, high-speed, high-radix, scalable

Manuscript received June 22, 2007. Manuscript revised October 3, 2007.


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