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Lenstra
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101	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: 2009-12-11 15:17:22 Finite fields Primality tests Polynomials Field theory Elliptic curves Prime number Frobenius endomorphism Root of unity Miller–Rabin primality test Abstract algebra Mathematics Algebra
102	PSEUDO–CODE FOR THE MLLL ALGORITHM ∗ † Keith Matthews The following pseudo–code is extracted from the CALC source file lll.c (available at http://www.numbertheory.org/calc/krm_calc.html) for Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2011-09-25 12:09:55 Lenstra–Lenstra–Lovász lattice basis reduction algorithm Lattice Abstract algebra Symbol Mathematics
103	ARE THERE COUNTER-EXAMPLES TO THE BAILLIE – PSW PRIMALITY TEST? Carl Pomerance 1984 to Arjen K. Lenstra on the defense of his doctoral thesis Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2014-05-14 13:22:43 Numbers Strong pseudoprime Lucas pseudoprime Primality test Prime number Baillie–PSW primality test Carmichael number Integer factorization Probable prime Pseudoprimes Mathematics Number theory
104	(Joint work with G. Havas and B. Majewski – appeared in Experimental Mathematics) CENTRAL PROBLEM: If d1, . . . , dm, m ≥ 2, are nonzero integers, find integers x1, . . . , xm such that d = gcd(d1, . . . , dm) = x1d1 Add to Reading List Source URL: www.numbertheory.org Language: English - Date: 2011-09-25 12:54:28 Lattice points Abstract algebra Euclidean algorithm Lenstra–Lenstra–Lovász lattice basis reduction algorithm Linear algebra Lattice Mathematics Algebra Computational number theory
105	UNIVERSITY OF CALIFORNIA Los Angeles An FFT Extension of the Elliptic Curve Method of Factorization A dissertation submitted in partial satisfaction of the Add to Reading List Source URL: research.microsoft.com Language: English - Date: 2011-10-25 12:19:40 Polynomials Finite fields Integer factorization algorithms Lenstra elliptic curve factorization Fast Fourier transform Elliptic curve Peter Montgomery Prime number Factorization Abstract algebra Mathematics Algebra
106	PDF Document Add to Reading List Source URL: www.storage.jak-stik.ac.id Language: English - Date: 2000-03-07 12:00:00 RSA numbers Integer factorization Quadratic sieve RSA Arjen Lenstra General number field sieve Factorization Cryptography Integer factorization algorithms RSA Factoring Challenge
107	Factorization of a 768-bit RSA modulus Paul Zimmermann (joint work with T. Kleinjung. K. Aoki, J. Franke, A. Lenstra, E. Thomé, J. Bos, P. Gaudry, A. Kruppa, P. Montgomery, D. A. Osvik, H. te Riele and A. Timofeev) /* Add to Reading List Source URL: www.loria.fr Language: English - Date: 2010-06-23 10:31:45 Mathematics Public-key cryptography RSA Gaudry Cryptography Integer factorization algorithms Herman te Riele
108	CS255: Introduction to Cryptography Winter 2014 Assignment #3: Solutions Answer 1. Add to Reading List Source URL: crypto.stanford.edu Language: English - Date: 2014-03-18 01:08:22 Computational science Cryptography Coding theory Public-key cryptography Factorization of polynomials over a finite field and irreducibility tests Lenstra elliptic curve factorization Mathematics Euclidean algorithm Finite fields
109	! " # $ " # %# &%# " " # %# Add to Reading List Source URL: www.signelec.com Language: English - Date: 2010-02-23 06:23:32 Computational number theory Lenstra–Lenstra–Lovász lattice basis reduction algorithm Romanization of Malayalam
110	Balanced subgroups of the multiplicative group Carl Pomerance, Dartmouth College Add to Reading List Source URL: www.math.dartmouth.edu Language: English - Date: 2012-06-15 12:56:21 Integer sequences Group theory Analytic number theory Finite fields Elliptic curve Prime number Factorial Lenstra elliptic curve factorization Birch and Swinnerton-Dyer conjecture Mathematics Abstract algebra Number theory

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