Modular inverse arithmetic plays an important role in elliptic curve cryptography. Based on the analysis of Montgomery modular inversion algorithm, this paper presents a new dual-field modular inversion algorithm, and...Modular inverse arithmetic plays an important role in elliptic curve cryptography. Based on the analysis of Montgomery modular inversion algorithm, this paper presents a new dual-field modular inversion algorithm, and a novel scalable and unified architecture for Montgomery inverse hardware in finite fields GF(p) and GF(2n) is proposed. Furthermore, this architecture based on the new modular inversion algorithm has been verified by modeling it in Verilog-HDL, and accomplished it under 0.18 μm CMOS technology. The result indicates that our work has better performance and flexibility than other works.展开更多
Modular inversion is one of the key arithmetic operations in public key cryptosystems, so low-cost, high-speed hardware implementation is absolutely necessary. This paper presents an algorithm for prime fields for ha...Modular inversion is one of the key arithmetic operations in public key cryptosystems, so low-cost, high-speed hardware implementation is absolutely necessary. This paper presents an algorithm for prime fields for hardware implementation. The algorithm involves only ordinary addition/subtraction and does not need any modular operations, multiplications or divisions. All of the arithmetic operations in the algorithm can be accomplished by only one adder, so it is very suitable for fast very large scale integration (VLSI) implementation. The VLSI implementation of the algorithm is also given with good performance and low silicon penalty.展开更多
基金Supported by the National High Technology Research and Development Program of China (863 Program) (No. 2008AA01Z103)
文摘Modular inverse arithmetic plays an important role in elliptic curve cryptography. Based on the analysis of Montgomery modular inversion algorithm, this paper presents a new dual-field modular inversion algorithm, and a novel scalable and unified architecture for Montgomery inverse hardware in finite fields GF(p) and GF(2n) is proposed. Furthermore, this architecture based on the new modular inversion algorithm has been verified by modeling it in Verilog-HDL, and accomplished it under 0.18 μm CMOS technology. The result indicates that our work has better performance and flexibility than other works.
基金Supported by the Prom otion Plan of the Ministry of E-ducation and the National Natural Science Foundationof China(No.2 0 0 2 AA14 10 4 0 )
文摘Modular inversion is one of the key arithmetic operations in public key cryptosystems, so low-cost, high-speed hardware implementation is absolutely necessary. This paper presents an algorithm for prime fields for hardware implementation. The algorithm involves only ordinary addition/subtraction and does not need any modular operations, multiplications or divisions. All of the arithmetic operations in the algorithm can be accomplished by only one adder, so it is very suitable for fast very large scale integration (VLSI) implementation. The VLSI implementation of the algorithm is also given with good performance and low silicon penalty.
