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First International Conference on Innovative Computing, Information and Control - Volume I (ICICIC'06)
Unbalanced Exponent Modular Reduction over Binary Field and Its Implementation
Beijing, China
August 30-September 01
ISBN: 0-7695-2616-0
Haibin Shen, Zhejiang University, China
Yier Jin, Zhejiang University, China
Rongquan You, Zhejiang University, China
Modular reduction is the basic operation of cryptographic systems. The Barrett?s Algorithm and Montgomery?s Algorithm are widely used nowadays and they are both based on pre-computation. In the field of Elliptic Curve Cryptosystem (ECC) over GF(2^m), the reduction polynomials recommended by SEC have few items and the degree of second item is much less than that of the first one. Making use of this characteristic, the paper presents a new method to accelerate modular reduction without precomputation which speeds up modular reduction by 10-30 times over GF(2^m) and speeds up ECC point multiplication by 40%-50%. This algorithm has been implemented in a high-speed public-key cipher accelerator.
Citation:
Haibin Shen, Yier Jin, Rongquan You, "Unbalanced Exponent Modular Reduction over Binary Field and Its Implementation," icicic, vol. 1, pp.190-193, First International Conference on Innovative Computing, Information and Control - Volume I (ICICIC'06), 2006
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