COMPARISON OF ALGORITHMS FOR FACTORIZATION OF LARGE NUMBERS HAVING SEVERAL DISTINCT PRIME FACTORS

Author:

KIJKO Tomasz1,WROŃSKI Michał1

Affiliation:

1. Wojskowa Akademia Techniczna im. Jarosława Dąbrowskiego w Warszawie

Abstract

We present analysis of security of the most known assymetric algorythm RSA and its modern version MultiPrime RSA. We focused on more precisious estimations of time complexity of two factorization algorithms: Elliptic Curve Method and General Number Field Sieve. Additionally for the MultiPrime RSA algorithm we computed the maximal number of prime factors for given modulus length which does not decrease the security level.

Publisher

Wojskowa Akademia Techniczna w Warszawie

Reference17 articles.

1. I. F. Blake, G. Seroussi, and N. Smart, Elliptic Curves in Cryptography, Cambridge University Press, (1999).

2. J. Cilleruelo, J. Rue, P. Sarka, and A. Zumalacarregui, The least common multiple of sets of positive integers, ArXiv e-prints arXiv:1112.3013v1 [math.NT], (2011).

3. Compaq. Cryptography Using Compaq MultiPrime Technology in a Parallel Processing Environment, Compaq, (2000).

4. http://www.crypto-world.com/FactorRecords.html.

5. J. H. Ellis, The story of non-secret encryption, Available from http://cryptome.org/jya/ellisdoc.htm, (1997).

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3