Search Results - Fermats factorization algorithm

The new integer factorization algorithm based on Fermat’s Factorization Algorithm and Euler’s theorem by Somsuk, Kritsanapong

“… 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 by Somsuk, Kritsanapong

“…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 by Bahig, Hazem M., A., Mohammed, A., Khaled, AlGhadhban, Amer, M., Hatem

“… 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 by Melničenko, Grigorijus

“… 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 by Budiman, M A, Rachmawati, D, Utami, R

“… 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 by Balasubramanian, Kannan, Pitchai, Mohana Priya

“…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 by N. A. Kalenikova, V. A. Minaev, V. P. Khrenov

“…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 by Aminudin, Aminudin, Budi Cahyono, Eko

“… 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 by Bahig, Hazem M., M., Hatem, Kotb, Yasser

“… 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 by Abu-Taieh, Evon Mohammed

“… 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 by Hittmeir, Markus

“… 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 by Tahir, Rasyid Redha Mohd, Asbullah, Muhammad Asyraf, Ariffin, Muhammad Rezal Kamel, Mahad, Zahari

“…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 by Somsuk, Kritsanapong, Chiawchanwattana, Thanapat, Sanemueang, Chalida

“…⌋ 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 by Shatnawi, Ahmed S., Almazari, Mahmoud M., AlShara, Zakarea, Taqieddin, Eyad, Mustafa, Dheya

“…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 by Blake, Sam

“… 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 by Hittmeir, Markus

“… 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 by Somsuk, Kritsanapong, Kasemvilas, Sumonta

“…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 by Rita Ismailova, Rayimbek Sultanov, Gulida Kimsanova

“…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 by Somsuk, Kritsanapong

“…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 by Overmars, Anthony, Venkatraman, Sitalakshmi

“…Semi-prime factorization is an increasingly important number theoretic problem, since it is computationally intractable…”
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