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Sieve theory
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21	Main text appears in T. Okamoto (Ed.): Advances in Cryptology – ASIACRYPT 2000, Springer-Verlag LNCS 1976, pp, ISBNAddendum does not appear in proceedings. Security of Cryptosystems Based on Cl Add to Reading List Source URL: www.bmoeller.de Language: English - Date: 2006-01-02 00:24:48 Algebraic number theory Integer factorization algorithms Finite fields Computational hardness assumptions Logarithms Discrete logarithm Quadratic sieve XTR Integer factorization Abstract algebra Mathematics Algebra
22	VersionePagina 1 di 27 ON SOME EQUATIONS CONCERNING THE RIEMANN’S PRIME NUMBER FORMULA AND ON A SECURE AND EFFICIENT PRIMALITY TEST. Add to Reading List Source URL: empslocal.ex.ac.uk Language: English - Date: 2014-10-15 04:06:56 Modular arithmetic Integer sequences Prime number Primality test RSA Wieferich prime Quadratic sieve Mathematics Number theory Cryptography
23	CAM Centre for Applied Microeconometrics Department of Economics University of Copenhagen http://www.econ.ku.dk/CAM/ Add to Reading List Source URL: www.econ.ku.dk Language: English - Date: 2011-10-17 22:28:39 Econometrics Regression analysis Statistical theory Semiparametric model Instrumental variable Estimator Non-parametric statistics Completeness Sieve estimator Statistics Estimation theory Statistical inference
24	Some experiments investigating a possible L(1/4) algorithm for the discrete logarithm problem in algebraic curves Maike Massierer∗ LORIA, Campus Scientifique, BP 239, 54506 Vandœuvre-l`es-Nancy Cedex, France maike.mas Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2014-12-13 07:45:36 Polynomials Computer algebra Integer factorization algorithms Group theory General number field sieve Factorization of polynomials Logarithm Finite field Index calculus algorithm Abstract algebra Mathematics Algebra
25	Security of Cryptosystems Based on Class Groups of Imaginary Quadratic Orders Safuat Hamdy Bodo Möller Add to Reading List Source URL: www.bmoeller.de Language: English - Date: 2006-01-02 00:23:19 Integer factorization algorithms Finite fields Computational hardness assumptions Algebraic number theory Group theory XTR Discrete logarithm Quadratic sieve Integer factorization Abstract algebra Mathematics Algebra
26	Improved Nguyen-Vidick Heuristic Sieve Algorithm for Shortest Vector Problem ? Xiaoyun Wang1,2 , Mingjie Liu1 , Chengliang Tian2 and Jingguo Bi2 1 Institute for Advanced Study, Tsinghua University, Beijing, China Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2011-08-28 09:14:48 Cryptography Lattice points Computational number theory Linear algebra Lattice problem Lattice Normal distribution Lenstra–Lenstra–Lovász lattice basis reduction algorithm Vector space Mathematics Algebra Abstract algebra
27	arXiv:1408.4505v1 [math.NT] 20 AugLARGE GAPS BETWEEN CONSECUTIVE PRIME NUMBERS KEVIN FORD, BEN GREEN, SERGEI KONYAGIN, AND TERENCE TAO A BSTRACT. Let G(X) denote the size of the largest gap between consecutive pri Add to Reading List Source URL: arxiv.org Language: English - Date: 2014-08-20 20:20:51 Prime numbers Prime gap Prime-counting function Riemann hypothesis Quadratic residue Brun sieve Mathematics Number theory Analytic number theory
28	Seminar Report on Riemann hypothesis and its Impact on RSA - Chauthaiwale Atharva Shriram (2008H103422) Add to Reading List Source URL: csis.bits-pilani.ac.in Language: English - Date: 2009-02-20 05:41:14 Analytic number theory Conjectures Primality tests Riemann hypothesis Riemann zeta function Prime number Miller–Rabin primality test Integer factorization Quadratic sieve Mathematics Number theory Mathematical analysis
29	arXiv:1008.1284v1 [math.NT] 6 AugIdeal forms of Coppersmith’s theorem and Guruswami-Sudan list decoding Henry Cohn Add to Reading List Source URL: arxiv.org Language: English - Date: 2010-08-09 20:26:12 Polynomials Field theory Commutative algebra Finite field Irreducible polynomial Algebraic number field General number field sieve Vector space Rational function Abstract algebra Algebra Mathematics
30	Factorization of a 768-bit RSA modulus version 1.4, February 18, 2010 Thorsten Kleinjung1 , Kazumaro Jens Franke3 , Arjen K. Lenstra1 , Emmanuel Thomé4 , Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2010-02-18 11:19:25 Number theory Quadratic sieve Special number field sieve General number field sieve Quadratic residue Prime number Factor base Lattice sieving RSA Integer factorization algorithms Cryptography Mathematics

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