Suchergebnisse - Fermats factorization algorithm
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The new integer factorization algorithm based on Fermat’s Factorization Algorithm and Euler’s theorem
ISSN: 2088-8708, 2088-8708Veröffentlicht: 01.04.2020Veröffentlicht in International journal of electrical and computer engineering (Malacca, Malacca) (01.04.2020)“… Fermat’s Factorization Algorithm (FFA) which has very high performance when prime factors are close to each other is a type of integer factorization algorithms …”
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The improvement of initial value closer to the target for Fermat's factorization algorithm
ISSN: 0972-0529, 2169-0065Veröffentlicht: Taylor & Francis 17.11.2018Veröffentlicht in Journal of discrete mathematical sciences & cryptography (17.11.2018)“… Integer Factorization Algorithm is one of the hard problems for breaking RSA. Fermat's Factorization Algorithm (FFA …”
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Performance Analysis of Fermat Factorization Algorithms
ISSN: 2158-107X, 2156-5570Veröffentlicht: West Yorkshire Science and Information (SAI) Organization Limited 2020Veröffentlicht in International journal of advanced computer science & applications (2020)“… In this paper, we study several integer factorization algorithms that are based on Fermat’s strategy, and do the …”
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Direct and inverse factorization algorithms of numbers
ISSN: 0132-2818, 2335-898XVeröffentlicht: Vilniaus universiteto leidykla / Vilnius University Press 05.12.2019Veröffentlicht in Lietuvos matematikos rinkinys (05.12.2019)“… The classical trial division algorithm divides a given number N into all divisors, starting from 2 and to integer part of √N …”
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The cryptanalysis of the Rabin public key algorithm using the Fermat factorization method
ISSN: 1742-6588, 1742-6596Veröffentlicht: Bristol IOP Publishing 01.06.2019Veröffentlicht in Journal of physics. Conference series (01.06.2019)“… In order to test how hard it is to cryptanalyze the Rabin public key n, we use the Fermat factorization method to obtain the values of p and q …”
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A survey of fermat factorization algorithms for factoring RSA composite numbers
ISSN: 2675-1240, 2675-1240Veröffentlicht: 2024Veröffentlicht in Multidisciplinary Science Journal (2024)“… In this research, we delve into the challenges associated with factorization in the context of the RSA cryptosystem …”
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Improvement of the Fermat’s Method: a New Algorithm of Factorization
ISSN: 2074-7128, 2074-7136Veröffentlicht: Joint Stock Company "Experimental Scientific and Production Association SPELS 01.06.2010Veröffentlicht in Bezopasnostʹ informat͡s︡ionnykh tekhnologiĭ (01.06.2010)“… The paper is devoted to a new algorithm of factorization which is based on a well known …”
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A Practical Analysis of the Fermat Factorization and Pollard Rho Method for Factoring Integers
ISSN: 2088-1541, 2541-5832Veröffentlicht: Udayana University, Institute for Research and Community Services 29.03.2021Veröffentlicht in Lontar komputer (29.03.2021)“… Therefore, this study will compare the Fermat factorization algorithm and Pollard rho by finding the key generator public key algorithm's prime factor value …”
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Fermat Factorization using a Multi-Core System
ISSN: 2158-107X, 2156-5570Veröffentlicht: West Yorkshire Science and Information (SAI) Organization Limited 2020Veröffentlicht in International journal of advanced computer science & applications (2020)“… Therefore, in this study, we focus on one of the factorization algorithms that is used when the two prime factors are of the same size, namely, the Fermat factorization (FF) algorithm …”
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A genetic factoring algorithm for RSA's N = PQ and performance comparison to factorization algorithm of Fermat, Pollard's rho, and Eratosthenes' Sieve
ISBN: 9798635237199Veröffentlicht: ProQuest Dissertations & Theses 01.01.1994“… Traditionally, methods such as Fermat's algorithm, Pollard's $\rho$ heuristic, and Eratosthenes' Sieve have been used to factor N …”
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Integer factorization as subset-sum problem
ISSN: 0022-314X, 1096-1658Veröffentlicht: Elsevier Inc 01.08.2023Veröffentlicht in Journal of number theory (01.08.2023)“… In particular, we will refine the runtime complexity of Fermat's factorization algorithm by a large subexponential factor …”
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Determination of a Good Indicator for Estimated Prime Factor and Its Modification in Fermat’s Factoring Algorithm
ISSN: 2073-8994, 2073-8994Veröffentlicht: Basel MDPI AG 01.05.2021Veröffentlicht in Symmetry (Basel) (01.05.2021)“… Fermat’s Factoring Algorithm (FFA) is an integer factorisation methods factoring the modulus N using exhaustive search …”
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Estimating the new Initial Value of Trial Division Algorithm for Balanced Modulus to Decrease Computation Loops
ISSN: 2642-6579Veröffentlicht: IEEE 01.07.2019Veröffentlicht in Proceedings of the ... International Joint Conference on Computer Science and Software Engineering (Online) (01.07.2019)“… ⌋ are deleted from the computation. Therefore, the computation time is also decreased. In fact, the key to implement process is the way to choose both of initial values of Fermat's Factorization Algorithm (FFA …”
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RSA cryptanalysis — Fermat factorization exact bound and the role of integer sequences in factorization problem
ISSN: 2214-2126Veröffentlicht: Elsevier Ltd 01.11.2023Veröffentlicht in Journal of information security and applications (01.11.2023)“… Large composite integer factorization algorithms still need to be more efficient and, thus, not operate linearly …”
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Integer Factorisation, Fermat & Machine Learning on a Classical Computer
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 16.07.2023Veröffentlicht in arXiv.org (16.07.2023)“… We use Lawrence's extension of Fermat's factorisation algorithm to reduce the integer factorisation problem to a binary classification problem …”
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Integer factorization as subset-sum problem
ISSN: 2331-8422Veröffentlicht: Ithaca Cornell University Library, arXiv.org 20.05.2022Veröffentlicht in arXiv.org (20.05.2022)“… In particular, we will refine the runtime complexity of Fermat's factorization algorithm by a large subexponential factor …”
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MFFV2 and MNQSV2: Improved Factorization Algorithms
ISBN: 1479906026, 9781479906024ISSN: 2162-9048Veröffentlicht: IEEE 01.06.2013Veröffentlicht in 2013 International Conference on Information Science and Applications (ICISA) (01.06.2013)“… We propose a method to decrease processing time for two factorization algorithms …”
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Comparative Analysis Of Integer Factorization Algorithms Using Cpu And Gpu
ISSN: 1694-7398Veröffentlicht: Kyrgyz Turkish Manas University 01.05.2017Veröffentlicht in MANAS journal of engineering (01.05.2017)“… In this work we have evaluated the running time of four integer factorization algorithms, namely, trial division algorithm, Fermat algorithm, Pollard rho and Brent algorithms …”
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A new modified integer factorization algorithm using integer modulo 20's technique
Veröffentlicht: IEEE 01.07.2014Veröffentlicht in ICSEC : 2014 International Computer Science and Engineering Conference : July 30, 2014-August 1, 2014 (01.07.2014)“… The aim of this paper is to propose a new modified integer factorization algorithm, is called Modified Fermat Factorization Version 4 (MFFV4 …”
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New Semi-Prime Factorization and Application in Large RSA Key Attacks
ISSN: 2624-800X, 2624-800XVeröffentlicht: Washington MDPI AG 12.11.2021Veröffentlicht in Journal of cybersecurity and privacy (12.11.2021)“… Semi-prime factorization is an increasingly important number theoretic problem, since it is computationally intractable …”
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