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Integer factorization
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31	Integer Factorization and Computing Discrete Logarithms in Maple Aaron Bradford∗, Michael Monagan∗, Colin Percival∗ , , Department of Mathematics, Simon Fr Add to Reading List Source URL: www.daemonology.net Language: English - Date: 2006-05-14 06:12:35 Cryptography Integer factorization algorithms Mathematics Abstract algebra Quadratic sieve General number field sieve Prime number Safe prime Discrete logarithm RSA Sieve of Atkin Quadratic residue
32	Quantum Computing and Cryptography Spring Semester 2011 Steve Vickers The University of Birmingham School of Computer Science Add to Reading List Source URL: www.cs.bham.ac.uk Language: English - Date: 2011-03-23 04:16:10 Electronic commerce Integer factorization algorithms RSA Prime number Modular arithmetic Coprime Euclidean algorithm Greatest common divisor Cryptography Mathematics Public-key cryptography
33	RACSAM manuscript No. (will be inserted by the editor) On a factorization of Riemann’s ζ function with respect to a quadratic field and its computation Xavier Ros-Oton Add to Reading List Source URL: www.ma.utexas.edu Language: English - Date: 2014-08-14 13:41:01 Integer sequences Analytic number theory Combinatorics Bernoulli number Topology Riemann zeta function Factorial Dedekind zeta function Dirichlet character Mathematics Mathematical analysis Number theory
34	CS 70 Fall 2003 Discrete Mathematics for CS Wagner Add to Reading List Source URL: www.cs.berkeley.edu Language: English - Date: 2015-01-21 19:48:43 Computational number theory Modular arithmetic Multiplication Euclidean algorithm Greatest common divisor Multiplicative inverse Coprime Modulo operation Extended Euclidean algorithm Mathematics Integer factorization algorithms Number theory
35	CS 70 Spring 2008 Discrete Mathematics for CS David Wagner Add to Reading List Source URL: www.cs.berkeley.edu Language: English - Date: 2015-01-21 19:48:43 Integer factorization algorithms Euclidean algorithm Greatest common divisor Coprime Multiplicative inverse Modulo operation Recursion Extended Euclidean algorithm Modular multiplicative inverse Mathematics Number theory Modular arithmetic
36	Square Root Algorithms for the Number Field Sieve Emmanuel Thomé INRIA Nancy, Villers-lès-Nancy, France Abstract. We review several methods for the square root step of the Add to Reading List Source URL: www.loria.fr Language: English - Date: 2012-11-29 10:44:38 Integer factorization algorithms Polynomials Field theory Algebraic number theory General number field sieve Special number field sieve Algebraic number field Elliptic curve Prime number Abstract algebra Mathematics Algebra
37	Discrete logarithm in GFwith FFS Razvan Barbulescu, Cyril Bouvier, Jérémie Detrey, Pierrick Gaudry, Hamza Jeljeli, Emmanuel Thomé, Marion Videau, and Paul Zimmermann CARAMEL project-team, LORIA, INRIA / CNRS / Add to Reading List Source URL: www.loria.fr Language: English - Date: 2014-01-09 15:35:58 Finite fields Logarithms Group theory Integer factorization algorithms Cryptography Index calculus algorithm XTR Polynomial Discrete logarithm Abstract algebra Mathematics Algebra
38	Universal security from bits and mips to pools, lakes – and beyond Arjen K. Lenstra1 with Thorsten Kleinjung1 and Emmanuel Thom´e2 1 Add to Reading List Source URL: www.loria.fr Language: English - Date: 2014-01-09 15:36:00 Key size Integer factorization algorithms RSA Key Cryptanalysis Index of cryptography articles Cryptography Key management Public-key cryptography
39	Introduction to Algorithms in Java: The Sieve of Eratosthenes Basic Concepts What is an algorithm? An algorithm is simply a step-by-step procedure for solving a problem or producing a desired result. We frequently talk a Add to Reading List Source URL: www.challenge.nm.org Language: English - Date: 2005-10-23 11:45:59 Java programming language Primality tests Algorithms Sieve of Eratosthenes Number theorists Integer factorization algorithms Prime number Eratosthenes Java Computing Computer programming Software engineering
40	Paradox Issue 4, 2012 The Magazine of the Melbourne University Mathematics and Statistics Society Page 2 Add to Reading List Source URL: www.ms.unimelb.edu.au Language: English - Date: 2013-11-09 21:45:41 Spirals Ulam spiral Integer sequences Factorization Primality test Mathematics Prime numbers Numbers