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    请使用永久网址来引用或连结此文件: https://nccur.lib.nccu.edu.tw/handle/140.119/75549


    题名: On the improvement of Fermat factorization using a continued fraction technique
    作者: Wu, M.-E.;Tso, R.;Sun, Hung-Min
    贡献者: 資科系
    关键词: Composite numbers;Computational capability;Continued fraction;IFP;Integer factorization problem;Integer-N;Prime factors;Hardware;Software engineering;Algorithms
    日期: 2014-01
    上传时间: 2015-06-03 12:33:11 (UTC+8)
    摘要: 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.
    關聯: Future Generation Computer Systems, 30, 162-168
    数据类型: article
    DOI 連結: http://dx.doi.org/10.1016/j.future.2013.06.008
    DOI: 10.1016/j.future.2013.06.008
    显示于类别:[資訊科學系] 期刊論文

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