Results 31 to 40 of about 2,924 (299)
Factorization of big integer and the security of RSA
网络与信息安全学报, 2017 Three kinds of methods for integer factorization were proposed and the security of RSA was demarcated.RSA is a well-known cryptographic algorithm,using the analysis result of those methods.Through the work,readers could easily realize that if merely ...
Yan-bing REN
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Cryptography, 2023 This article proposes a new method to inject backdoors in RSA (the public-key cryptosystem invented by Rivest, Shamir, and Adleman) and other cryptographic primitives based on the integer factorization problem for balanced semi-primes.
Marco Cesati
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Prime factors of consecutive integers [PDF]
Mathematics of Computation, 2008 This note contains a new algorithm for computing a function f ( k ) f(k)
Mark Bauer, Michael A. Bennett
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Integer factorization algorithms
, 2020 The mathematical area of integer factorization has gone a long way since the early days of Pierre de Fermat, and with simpler algorithms developed in the last century such as the Trial division and Pollards rho algorithm to the more complex method of the
Nilsson, Joakim
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Conjugacy Systems Based on Nonabelian Factorization Problems and Their Applications in Cryptography
Journal of Applied Mathematics, 2014 To resist known quantum algorithm attacks, several nonabelian algebraic structures mounted upon the stage of modern cryptography. Recently, Baba et al. proposed an important analogy from the integer factorization problem to the factorization problem over
Lize Gu, Shihui Zheng
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On the Tower Factorization of Integers
The American Mathematical MonthlyUnder the fundamental theorem of arithmetic, any integer $n>1$ can be uniquely written as a product of prime powers $p^a$; factoring each exponent $a$ as a product of prime powers $q^b$, and so on, one will obtain what is called the tower factorization of $n$.
Jean-Marie De Koninck, William Verreault
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Mersenne version of Brocard-Ramanujan equation
Journal of New Results in Science, 2023 In this study, we deal with a special form of the Brocard-Ramanujan equation, which is one of the interesting and still open problems of Diophantine analysis.
Ayşe Nalli, Seyran İbrahimov
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Specialized integer factorization [PDF]
, 1998 Vanstone and Zuccherato [3] propose a cryptographic system based on an elliptic curve modulo a composite number. We show that the composite numbers so constructed are easily factored, rendering the system insecure.
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Location‐Specific Hematoma Volume Predicts Early Neurological Deterioration in Supratentorial ICH
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Early neurological deterioration (END) adversely affects outcomes in patients with intracerebral hemorrhage (ICH). This study aimed to determine the location‐specific hematoma volumes for END in supratentorial ICH patients. Methods We retrospectively analyzed supratentorial ICH patients presenting from two prospective cohorts.
Zuoqiao Li +10 more
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On certain arithmetical functions connected with the prime factorization of an integer [PDF]
Notes on Number Theory and Discrete MathematicsIf ...
József Sándor
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