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Date: 2013-06-03 22:32:58 Finite fields Computational hardness assumptions Group theory Integer factorization algorithms Logarithms Discrete logarithm Index calculus algorithm XTR General number field sieve Abstract algebra Mathematics Cryptography		Add to Reading List Source URL: www.ipa.go.jp Download Document from Source Website File Size: 161,27 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