<--- Back to Details
First PageDocument Content
Numbers / Special number field sieve / General number field sieve / Quadratic sieve / Lenstra elliptic curve factorization / Sieve theory / Prime number / Prime factor / Rational sieve / Integer factorization algorithms / Number theory / Mathematics
Date: 2006-11-06 07:51:37
Numbers
Special number field sieve
General number field sieve
Quadratic sieve
Lenstra elliptic curve factorization
Sieve theory
Prime number
Prime factor
Rational sieve
Integer factorization algorithms
Number theory
Mathematics

The Number Field Sieve Factorization of Large Numbers

Add to Reading List

Source URL: wob.iai.uni-bonn.de

Download Document from Source Website

File Size: 545,44 KB

Share Document on Facebook

Similar Documents

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

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

DocID: 1rfno - View Document

Integer factorization algorithms / Mathematics / Number theory / Integer sequences / Quadratic sieve / Discrete mathematics / Prime number / Smooth number / Special number field sieve / General number field sieve

Integer factorization, part 1: the Q sieve Integer factorization, part 2: detecting smoothness D. J. Bernstein

DocID: 1rcdq - View Document

Integer factorization algorithms / Polynomials / Field theory / Algebraic number theory / General number field sieve / Special number field sieve / Algebraic number field / Elliptic curve / Prime number / Abstract algebra / Mathematics / Algebra

Square Root Algorithms for the Number Field Sieve Emmanuel Thomé INRIA Nancy, Villers-lès-Nancy, France Abstract. We review several methods for the square root step of the

DocID: 1a9yG - View Document

Health economics / Healthcare / Housing / Nursing home / Medicare / Home care / Prospective payment system / Special number field sieve / Health / Medicine / Geriatrics

Ch6_Jun14_SiteNeutralPAC.indd

DocID: 19uKW - View Document

Special number field sieve / Integer factorization / General number field sieve / Factorization / RSA / Lenstra elliptic curve factorization / Factor base / Quadratic sieve / Integer factorization records / Integer factorization algorithms / Cryptography / Mathematics

A kilobit special number field sieve factorization Kazumaro Aoki1 , Jens Franke2 , Thorsten Kleinjung2 , Arjen K. Lenstra3 , and Dag Arne Osvik3 1 2

DocID: 18lds - View Document