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Please use this identifier to cite or link to this item: https://nccur.lib.nccu.edu.tw/handle/140.119/74658

Title:	On the improvement of fermat factorization
Authors:	Wu, M.-E.;Tso, R.;Sun, H.-M. 左瑞麟
Contributors:	資科系
Keywords:	Composite numbers;Continued fraction;Cryptanalysis;Integer factorization;Integer-N;Prime factors;SIMPLE method;Algorithms;Factorization;Network security
Date:	2012
Issue Date:	2015-04-17 11:39:43 (UTC+8)
Abstract:	Given an integer N = pq, which is a product of two primes, it is difficult to determine the prime factors p and q efficiently. However, for the suitable size of a number N, Fermat`s algorithm is one of the most simple 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. © 2012 Springer-Verlag.
Relation:	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), Volume 7645 LNCS, 380-391
Data Type:	conference
DOI 連結:	http://dx.doi.org/10.1007/978-3-642-34601-9_29
DOI:	10.1007/978-3-642-34601-9_29
Appears in Collections:	[資訊科學系] 會議論文

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