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

First Page		Document Content
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		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 Download Document from Source Website File Size: 92,71 KB Share Document on Facebook

	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
	Annales Univ. Sci. Budapest., Sect. Comp–27 PRIMALITY PROOFS WITH ELLIPTIC CURVES: HEURISTICS AND ANALYSIS Wieb Bosma, Eric Cator (Nijmegen, The Netherlands) DocID: 1r1GB - View Document
	Annals of Mathematics, ), Factoring integers with elliptic curves By H. W. LENSTRA, JR. DocID: 1pVJY - View Document
	A Provably Secure Elliptic Curve Scheme with Fast Encryption David Galindo1 , Sebasti` a Mart´ın1 , Tsuyoshi Takagi2 and Jorge L. Villar1 1 DocID: 1lP2X - View Document
	Edwards Curves and the ECM Factorisation Method Peter Birkner Eindhoven University of Technology The 12th Workshop on Elliptic Curve Cryptography DocID: 1l5Qp - View Document