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    政大機構典藏 > 理學院 > 資訊科學系 > 會議論文 >  Item 140.119/74658
    Please use this identifier to cite or link to this item: http://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.
    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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