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http://dx.doi.org/10.9717/kmms.2017.20.2.289

Efficient Hardware Montgomery Modular Inverse Module for Elliptic Curve Cryptosystem in GF(p)  

Choi, Piljoo (Dept. of Electronic Eng., Hanyang University)
Kim, Dong Kyue (Dept. of Electronic Eng., Hanyang University)
Publication Information
Journal of Korea Multimedia Society / v.20, no.2, 2017 , pp. 289-297 More about this Journal
Abstract
When implementing a hardware elliptic curve cryptosystem (ECC) module, the efficient design of Modular Inverse (MI) algorithm is especially important since it requires much more computation than other finite field operations in ECC. Among the MI algorithms, binary Right-Shift modular inverse (RS) algorithm has good performance when implemented in hardware, but Montgomery Modular Inverse (MMI) algorithm is not considered in [1, 2]. Since MMI has a similar structure to that of RS, we show that the area-improvement idea that is applied to RS is applicable to MMI, and that we can improve the speed of MMI. We designed area- and speed-improved MMI variants as hardware modules and analyzed their performance.
Keywords
Elliptic Curve Cryptosystem; Modular Inversion; Montgomery Inversion; Finite Field Operation;
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