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Integer factorization algorithms
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#	Item
71	The Extended Euclidean Algorithm Example 1: m = 65, n = 40 Step 1: The (usual) Euclidean algorithm: ([removed]) Add to Reading List Source URL: www.mast.queensu.ca Language: English - Date: 2006-01-13 12:22:55 Euclidean algorithm Modular arithmetic Algorithm Greatest common divisor Modular multiplicative inverse Mathematics Number theory Integer factorization algorithms
72	From: [removed]:29 To: [removed]:29 Print Date: [removed]Arrest/Release Report Page: Add to Reading List Source URL: media.graytvinc.com Language: English - Date: 2013-09-17 09:30:38 James Bond British people Fiction Integer factorization algorithms Espionage Electronic commerce Public-key cryptography RSA
73	Name _____________________________________________________________________________________________________ Prime Factorization R 7-2 Add to Reading List Source URL: pleasanton.k12.ca.us Language: English - Date: 2004-01-30 15:22:30 Integer sequences Elementary number theory Integer factorization algorithms Prime numbers Arithmetic Prime factor Composite number Integer factorization Divisor Mathematics Numbers Number theory
74	Name _____________________________________________________________________________________________________ Common Factors and GCF R 7-3 Add to Reading List Source URL: pleasanton.k12.ca.us Language: English - Date: 2004-01-30 15:23:28 Numbers Greatest common divisor Divisor Divisibility rule Integer factorization algorithms Polynomials Mathematics Division Elementary number theory
75	From: [removed]:39 To: [removed]:39 Print Date: [removed]Arrest/Release Report Page: Add to Reading List Source URL: media.graytvinc.com Language: English - Date: 2013-03-04 10:23:45 Integer factorization algorithms Public-key cryptography Electronic commerce RSA
76	The Function Field Sieve in the Medium Prime Case Antoine Joux1,3 and Reynald Lercier1,2 1 DGA Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:53 Integer factorization algorithms Finite fields Logarithms Group theory Cryptography General number field sieve Discrete logarithm Polynomial Computational complexity theory Abstract algebra Mathematics Algebra
77	Roots of Polynomials in Subgroups of F∗p and Applications to Congruences Enrico Bombieri, Jean Bourgain, Sergei Konyagin IAS, Princeton, IAS Princeton, Moscow State University Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2008-11-03 09:49:23 Modular arithmetic Algebraic number theory Quadratic residue Integer factorization algorithms Lenstra elliptic curve factorization Quadratic reciprocity Abstract algebra Mathematics Number theory
78	On Class Group Computations Using the Number Field Sieve Mark L. Bauer1 and Safuat Hamdy2 1 University of Waterloo Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:54 Integer factorization algorithms Quadratic sieve General number field sieve Special number field sieve Elliptic curve Polynomial Hyperelliptic curve Quadratic form Algebraic number field Abstract algebra Algebra Mathematics
79	Factoring estimates for a 1024-bit RSA modulus Arjen Lenstra1 , Eran Tromer2 , Adi Shamir2 , Wil Kortsmit3 , Bruce Dodson4 , James Hughes5 , Paul Leyland6 1 Citibank, N.A. and Technische Universiteit Eindhoven, Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:54 Integer sequences General number field sieve TWIRL Prime number RSA Smooth number Lenstra elliptic curve factorization Factorization Factorial Integer factorization algorithms Mathematics Cryptography
80	SHARK A Realizable Special Hardware Sieving Device for Factoring 1024-bit Integers Jens Franke1 , Thorsten Kleinjung1 , Christof Paar2 , Jan Pelzl2 , Christine Priplata3 , and Colin Stahlke3 1 Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:55 General number field sieve Numbers Lattice sieving Integer factorization records Sieve TWIRL Factor base Mesh Dynamic random-access memory Integer factorization algorithms Mathematics Quadratic sieve