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Integer factorization
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111	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
112	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
113	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
114	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
115	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
116	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
117	MAPREDUCE FOR INTEGER FACTORIZATION arXiv:1001.0421v1 [cs.DC] 4 Jan 2010 JAVIER TORDABLE Abstract. Integer factorization is a very hard computational problem. Currently no efficient algorithm for integer factorization i Add to Reading List Source URL: arxiv.org Language: English - Date: 2010-01-03 19:17:14 Number theory Quadratic sieve General number field sieve MapReduce Integer factorization Quadratic residue Factor base Factorization RSA Integer factorization algorithms Cryptography Mathematics
118	Edwards Curves and the ECM Factorisation Method Peter Birkner Eindhoven University of Technology Fields Cryptography Retrospective Meeting Add to Reading List Source URL: www.fields.utoronto.ca Language: English - Date: 2009-05-14 13:31:42 Group theory Lenstra elliptic curve factorization Elliptic curve Elliptic curve cryptography Torsion Edwards curve Elliptic curve primality testing Algebraic-group factorisation algorithm Abstract algebra Finite fields Integer factorization algorithms
119	International Journal of Network Security, Vol.3, No.3, PP.296–299, Nov[removed]Is There A Shortage of Primes for Cryptography? Samuel S. Wagstaff, Jr. Add to Reading List Source URL: ijns.femto.com.tw Language: English - Date: 2006-04-05 23:50:03 Analytic number theory Prime numbers Integer sequences Prime-counting function Primality test Integer factorization Integer factorization algorithms Wieferich prime RSA numbers Mathematics Number theory Numbers
120	Induction on Equality Anti Mathcamp 2011 The natural numbers Add to Reading List Source URL: home.sandiego.edu Language: English - Date: 2013-06-25 23:25:22 Elementary arithmetic Number theory Integer sequences Elementary mathematics Multiplication Prime number Number Factorization Natural number Mathematics Abstract algebra Binary operations

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