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Improved Software Implementation for Montgomery Elliptic Curve Cryptosystem

Computers, Materials & Continua 2022年第3期70卷 4847-4865页

作者： Mohammad Al-Khatib Wafaa Saif Computer Science Department College of Computer and Information SciencesImam Mohammad Ibn Saud Islamic University(IMSIU)RiyadhSaudi Arabia

The last decade witnessed rapid increase in multimedia and other applications that require transmitting and protecting huge amount of data streams *** such applications,a high-performance cryptosystem is compulsory to provide necessary security *** curve cryptosystem(ECC)has been introduced as a considerable ***,the usual sequential implementation of ECC and the standard elliptic curve(EC)form cannot achieve required performance ***,the widely used Hardware implementation of ECC is costly option and may be not *** research aims to develop a high-performance parallel software implementation for *** achieve this,many experiments were performed to examine several factors affecting ECC performance including the projective coordinates,the scalar multiplication algorithm,the elliptic curve(EC)form,and the parallel *** ECC performance was analyzed using the different factors to tune-up them and select the best choices to increase the speed of the *** results illustrated that parallel Montgomery ECC implementation using homogenous projection achieves the highest performance level,since it scored the shortest time delay for ECC *** addition,results showed thatNAF algorithm consumes less time to perform encryption and scalar multiplication operations in comparison withMontgomery ladder and *** multi-threading technique was adopted to implement ECC computations in *** proposed multithreaded Montgomery ECC implementation significantly improves the performance level compared to previously presented parallel and sequential implementations.

关键词： Elliptic curve cryptosystem parallel software implementation multi-threading scalar multiplication algorithms modular arithmetic

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