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Elliptic curve primality testing
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1	Algorithmic Number Theory MSRI Publications Volume 44, 2008 Four primality testing algorithms RENE´ SCHOOF Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2008-05-06 02:30:44 Mathematics Algebra Abstract algebra Primality tests Elliptic curve primality MillerRabin primality test Generalized Riemann hypothesis Prime number Elliptic curve Cyclotomic polynomial Riemann hypothesis XTR
2	Primality Testing Using Elliptic Curves SHAFI GOLDWASSER Massachusetts Institute of Technology, Cambridge, Massachusetts AND JOE KILIAN Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2011-01-18 15:53:11 Primality tests Finite fields Probabilistic complexity theory Modular arithmetic Group theory Primality certificate Prime number Elliptic curve primality Elliptic curve SolovayStrassen primality test Number theory Randomized algorithm
3	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
4	On the Power of Non-Adaptive Learning Graphs arXiv:1210.3279v2 [quant-ph] 16 Dec 2012 Aleksandrs Belovs∗ Add to Reading List Source URL: arxiv.org Language: English - Date: 2012-12-17 21:58:17 Complexity classes Algebra Boundedly generated group Geometric group theory Decision tree model FO NP Quantum algorithm Elliptic curve primality testing Theoretical computer science Applied mathematics Mathematics
5	version[removed]Primality testing with Gaussian periods Primality testing with Gaussian periods H. W. Lenstra jr. and Carl Pomerance Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2009-02-25 13:32:39 Primality tests Finite fields Polynomials Integer factorization algorithms Field theory Prime number Root of unity Miller–Rabin primality test Elliptic curve primality testing Abstract algebra Mathematics Algebra
6	An Overview of Elliptic Curve Primality Proving Frank Li December 15, 2011 Add to Reading List Source URL: www.stanford.edu Language: English - Date: 2012-01-10 13:38:21 Abstract algebra Elliptic curve primality proving Primality certificate AKS primality test Prime number Elliptic curve primality testing Solovay–Strassen primality test Fermat primality test Miller–Rabin primality test Primality tests Mathematics Number theory
7	IMPLEMENTATION OF THE ATKIN-GOLDWASSER-KILIAN PRIMALITY TESTING ALGORITHM Add to Reading List Source URL: www.iai.uni-bonn.de Language: English - Date: 2002-07-12 14:33:16 Primality tests Modular arithmetic Group theory Finite fields Primality certificate Prime number Elliptic curve Integer factorization Quadratic form Abstract algebra Mathematics Number theory
8	The Prime Facts: From Euclid to AKS c 2003 Scott Aaronson Add to Reading List Source URL: www.scottaaronson.com Language: English - Date: 2012-12-14 12:29:57 Integer sequences Modular arithmetic Prime number Solovay–Strassen primality test Composite number Trial division Quadratic residue Elliptic curve primality testing Mathematics Number theory Primality tests
9	Differential Fault Attacks on Elliptic Curve Cryptosystems (Extended Abstract) Add to Reading List Source URL: www.iacr.org Language: English - Date: 2006-01-16 13:27:53 Group theory Analytic number theory Elliptic curve Elliptic curve cryptography XTR Elliptic curve primality testing Abstract algebra Finite fields Elliptic curves
10	PDF Document Add to Reading List Source URL: www.math.rug.nl Language: English - Date: 2007-12-07 04:23:00 Elliptic curves Number theory Elliptic curve primality proving Analytic number theory Prime number Elliptic curve Elliptic curve primality testing Primality certificate Primality tests Abstract algebra Mathematics

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