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Lenstra
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#	Item
11	SMOOTH NUMBERS AND THE QUADRATIC SIEVE Carl Pomerance When faced with a large number n to factor, what do you do first? You might say “Look at the last digit,” with the idea of cheaply pulling out possible factors of Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2007-11-23 17:17:47 Mathematics Integer factorization algorithms Number theory Quadratic sieve Special number field sieve Quadratic residue General number field sieve Prime number Lenstra elliptic curve factorization Sieve of Eratosthenes Euclidean algorithm Prime-counting function
12	Annales Univ. Sci. Budapest., Sect. Comp–27 PRIMALITY PROOFS WITH ELLIPTIC CURVES: HEURISTICS AND ANALYSIS Wieb Bosma, Eric Cator (Nijmegen, The Netherlands) Add to Reading List Source URL: www.math.ru.nl Language: English - Date: 2016-04-18 16:20:05 Abstract algebra Algebra Mathematics Primality tests Finite fields Elliptic curves Elliptic curve primality Group theory Elliptic curve Lenstra elliptic curve factorization Quadratic residue Prime number
13	Annals of Mathematics, ), Factoring integers with elliptic curves By H. W. LENSTRA, JR. Add to Reading List Source URL: www.mat.uniroma2.it Language: English - Date: 2008-11-09 06:36:38 Abstract algebra Algebra Mathematics Elliptic curves Finite fields Group theory Elliptic curve cryptography Conjectures Lenstra elliptic curve factorization Elliptic curve Divisor Generalized Riemann hypothesis
14	ALGORITHMIC GALOIS THEORY Hendrik W. Lenstra jr. Mathematisch Instituut, Universiteit Leiden Add to Reading List Source URL: www.math.leidenuniv.nl Language: English - Date: 2006-03-03 04:47:19 Field theory Galois theory Algebraic number theory Field extension Galois group Splitting field Galois extension Field Polynomial Conjugate element Field trace
15	51 Documenta Math. Linear Programming Stories Add to Reading List Source URL: documenta.sagemath.org Language: English - Date: 2012-07-25 10:24:41 Operations research Convex optimization Lattice points Combinatorial optimization Computational number theory Ellipsoid method Linear programming Leonid Khachiyan Lattice reduction LenstraLenstraLovsz lattice basis reduction algorithm Mathematical optimization Arjen Lenstra
16	MD5 Considered Harmful Today Creating a rogue CA certificate Alexander Sotirov Marc Stevens Jacob Appelbaum Arjen Lenstra Add to Reading List Source URL: www.trailofbits.com Language: English - Date: 2016-04-15 11:36:17 Cryptography Public-key cryptography Key management Transport Layer Security Public key infrastructure Cryptographic protocols MD5 Certificate authority Public key certificate HTTPS Chain of trust X.509
17	A Provably Secure Elliptic Curve Scheme with Fast Encryption David Galindo1 , Sebasti` a Mart´ın1 , Tsuyoshi Takagi2 and Jorge L. Villar1 1 Add to Reading List Source URL: www.dgalindo.es Language: English - Date: 2007-11-26 10:35:53 Cryptography Abstract algebra Algebra Elliptic curves Group theory Supersingular elliptic curve Trapdoor function Finite fields Elliptic curve Lenstra elliptic curve factorization Elliptic curve primality
18	Public Keys Arjen K. Lenstra James P. Hughes Maxime Augier Joppe W. Bos Thorsten Kleinjung Add to Reading List Source URL: www.iacr.org Language: English - Date: 2012-09-28 08:57:10
19	Edwards Curves and the ECM Factorisation Method Peter Birkner Eindhoven University of Technology The 12th Workshop on Elliptic Curve Cryptography Add to Reading List Source URL: www.hyperelliptic.org Language: English - Date: 2008-09-27 14:59:29 Abstract algebra Algebra Mathematics Finite fields Integer factorization algorithms Group theory Elliptic curve cryptography Lenstra elliptic curve factorization Elliptic curves Elliptic curve Torsion Order
20	@ PRIMALITY PROVING WITH CYCLOTOMY PRIMALITY PROVING WITH CYCLOTOMY Add to Reading List Source URL: www.math.ru.nl Language: English - Date: 2008-03-26 17:24:39 Number theorists Hendrik Lenstra Lehmer Primality tests Prime number Pseudoprime Jacobi sum

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