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政大典藏 > College of Informatics > Department of Computer Science > Periodical Articles > Item 140.119/75549

Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/75549

Title:	On the improvement of Fermat factorization using a continued fraction technique
Authors:	Wu, M.-E.;Tso, R.;Sun, Hung-Min
Contributors:	資科系
Keywords:	Composite numbers;Computational capability;Continued fraction;IFP;Integer factorization problem;Integer-N;Prime factors;Hardware;Software engineering;Algorithms
Date:	2014-01
Issue Date:	2015-06-03 12:33:11 (UTC+8)
Abstract:	Although Integer Factorization Problem (IFP) is one of the most difficult problems in the world due to the limited computational capability, there exist some vulnerable integers which are factorable by the development of cloud computing. For example, given an integer N=pq, which is a product of two primes, it is hard to determine the prime factors p and q efficiently. However, for the suitable size of a number N, Fermat`s algorithm may be one of the simplest method for solving it. In this paper, a method called EPF for estimating the prime factors of a composite number is proposed. We use the technique of continued fractions to output two integers, pE+qE and pE×qE, which are close to p+q and p×q, respectively. Furthermore, we show that EPF can be adopted to reduce the loop count in Fermat`s algorithm before factoring a composite number. The effect depends on the size of the prime factor. We believe that there are still other applications as well wherein EPF can be used. © 2013 Published by Elsevier B.V. All rights reserved.
Relation:	Future Generation Computer Systems, 30, 162-168
Data Type:	article
DOI link:	http://dx.doi.org/10.1016/j.future.2013.06.008
DOI:	10.1016/j.future.2013.06.008
Appears in Collections:	[Department of Computer Science ] Periodical Articles

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