Results 31 to 40 of about 82,510 (316)

A factorization formula for power series [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
Given an odd prime p, we give an explicit factorization over the ring of formal power series with integer coefficients for certain reducible polynomials whose constant term is of the form $p^w$ with $w>1$.
Daniel Birmajer   +2 more
doaj   +1 more source

A Practical Analysis of the Fermat Factorization and Pollard Rho Method for Factoring Integers

open access: yesLontar Komputer, 2021
The development of public-key cryptography generation using the factoring method is very important in practical cryptography applications. In cryptographic applications, the urgency of factoring is very risky because factoring can crack public and ...
Aminudin Aminudin, Eko Budi Cahyono
doaj   +1 more source

Integer Factorization with a Neuromorphic Sieve

open access: yes, 2018
The bound to factor large integers is dominated by the computational effort to discover numbers that are smooth, typically performed by sieving a polynomial sequence.
Monaco, John V., Vindiola, Manuel M.
core   +1 more source

Algorithms for Positive Semidefinite Factorization

open access: yes, 2017
This paper considers the problem of positive semidefinite factorization (PSD factorization), a generalization of exact nonnegative matrix factorization. Given an $m$-by-$n$ nonnegative matrix $X$ and an integer $k$, the PSD factorization problem consists
Gillis, Nicolas   +2 more
core   +1 more source

Integer LU-factorizations

open access: yesLinear Algebra and its Applications, 1991
The authors give conditions under which a rectangular integer matrix has an integer LU-factorization. They use a modified Gaussian elimination to find the LU-factorization and they consider such factorizations for adjacency matrices of trees.
Bevis, Jean H., Hall, Frank J.
openaire   +1 more source

Key Generation Using Generalized Pell’s Equation in Public Key Cryptography Based on the Prime Fake Modulus Principle to Image Encryption and Its Security Analysis

open access: yesCybernetics and Information Technologies, 2020
RSA is one among the most popular public key cryptographic algorithm for security systems. It is explored in the results that RSA is prone to factorization problem, since it is sharing common modulus and public key exponent.
Raghunandan K. R.   +3 more
doaj   +1 more source

Factorization in the Cloud: Integer Factorization Using F# and Windows Azure [PDF]

open access: yes, 2011
Implementations are presented of two common algorithms for integer factorization, Pollard’s “p – 1” method and the SQUFOF method. The algorithms are implemented in the F# language, a functional programming language developed by Microsoft and officially ...
Shaffer, Ryan
core   +1 more source

Integer Factorization

open access: yesDAIMI Report Series, 1983
<p>This report gives a summary of methods for factoring large integers and presents particular factorizations obtained by these methods using the computer facilities at DAIMI.</p><p>We have used trial division, the continued fraction method, Pollard's methods, and various tests for primality to obtain new factorizations of Fibonacci ...
openaire   +2 more sources

Prediction Model for Etiologic Differentiation of Isolated Vestibular Syndrome in Emergency Settings

open access: yesAnnals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective This study aimed to develop and validate a predictive model for differentiating central from peripheral etiologies in patients with isolated vestibular syndrome (VS). Methods In this multicenter retrospective cohort study, 506 patients with isolated VS from five hospitals were divided into derivation (n = 301) and validation (n = 205)
Guo Wenting   +12 more
wiley   +1 more source

Note on Integer Factoring Methods IV [PDF]

open access: yes, 2006
This note continues the theoretical development of deterministic integer factorization algorithms based on systems of polynomials equations. The main result establishes a new deterministic time complexity bench mark in integer factorization.Comment: 20 ...
Carella, N. A.
core   +3 more sources

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