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
	Integer factorization, part 1: the Q sieve Integer factorization, part 2: detecting smoothness D. J. Bernstein DocID: 1rcdq - View Document
	FACTORIZATION TECHNIQUES ELVIS NUNEZ AND CHRIS SHAW Abstract. The security of the RSA public key cryptosystem relies upon the computational difficulty of deriving the factors of a particular semiprime modulus. In this pa DocID: 1o65x - View Document
	POST-SIEVING ON GPUs Andrea Miele1, Joppe W. Bos2, Thorsten Kleinjung1, Arjen K. Lenstra1 1LACAL, DocID: 1mAe0 - View Document
	Integer Factorization and Computing Discrete Logarithms in Maple Aaron Bradford∗, Michael Monagan∗, Colin Percival∗ , , Department of Mathematics, Simon Fr DocID: 1kTb9 - View Document