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DOI: 10.14569/IJACSA.2020.0110444
PDF

Fermat Factorization using a Multi-Core System

Author 1: Hazem M. Bahig
Author 2: Hatem M. Bahig
Author 3: Yasser Kotb

International Journal of Advanced Computer Science and Applications(IJACSA), Volume 11 Issue 4, 2020.

  • Abstract and Keywords
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Abstract: Factoring a composite odd integer into its prime factors is one of the security problems for some public-key cryptosystems such as the Rivest-Shamir-Adleman cryptosystem. Many strategies have been proposed to solve factorization problem in a fast running time. However, the main drawback of the algorithms used in such strategies is the high computational time needed to find prime factors. Therefore, in this study, we focus on one of the factorization algorithms that is used when the two prime factors are of the same size, namely, the Fermat factorization (FF) algorithm. We investigate the performance of the FF method using three parameters: (1) the number of bits for the composite odd integer, (2) size of the difference between the two prime factors, and (3) number of threads used. The results of our experiments in which we used different parameters values indicate that the running time of the parallel FF algorithm is faster than that of the sequential FF algorithm. The maximum speed up achieved by the parallel FF algorithm is 6.7 times that of the sequential FF algorithm using 12 cores. Moreover, the parallel FF algorithm has near-linear scalability.

Keywords: Integer factorization; fermat factorization; parallel algorithm; multi-core

Hazem M. Bahig, Hatem M. Bahig and Yasser Kotb, “Fermat Factorization using a Multi-Core System” International Journal of Advanced Computer Science and Applications(IJACSA), 11(4), 2020. http://dx.doi.org/10.14569/IJACSA.2020.0110444

@article{Bahig2020,
title = {Fermat Factorization using a Multi-Core System},
journal = {International Journal of Advanced Computer Science and Applications},
doi = {10.14569/IJACSA.2020.0110444},
url = {http://dx.doi.org/10.14569/IJACSA.2020.0110444},
year = {2020},
publisher = {The Science and Information Organization},
volume = {11},
number = {4},
author = {Hazem M. Bahig and Hatem M. Bahig and Yasser Kotb}
}



Copyright Statement: This is an open access article licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, even commercially as long as the original work is properly cited.

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