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Rational sieve
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1	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 Add to Reading List Source URL: davidlowryduda.com Language: English - Date: 2016-05-25 03:59:31 Integer factorization algorithms Mathematics Cryptography Number theory Quadratic sieve Euclidean algorithm RSA Prime number Factorization Trial division General number field sieve Rational sieve
2	arXiv:1008.1284v1 [math.NT] 6 AugIdeal forms of Coppersmith’s theorem and Guruswami-Sudan list decoding Henry Cohn Add to Reading List Source URL: arxiv.org Language: English - Date: 2010-08-09 20:26:12 Polynomials Field theory Commutative algebra Finite field Irreducible polynomial Algebraic number field General number field sieve Vector space Rational function Abstract algebra Algebra Mathematics
3	Use of SIMD-Based Data Parallelism to Speed up Sieving in Integer-Factoring Algorithms ? Binanda Sengupta and Abhijit Das Department of Computer Science and Engineering Indian Institute of Technology Kharagpur, West Beng Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2015-01-20 08:14:47 Theoretical computer science Quadratic sieve General number field sieve Rational sieve Quadratic residue Lattice sieving Integer factorization Prime number RSA Integer factorization algorithms Mathematics Cryptography
4	On the Cost of Factoring RSA-1024 Adi Shamir Add to Reading List Source URL: tau.ac.il Language: English - Date: 2005-02-10 22:54:25 TWINKLE Quadratic sieve General number field sieve Arjen Lenstra Rational sieve Integer factorization Key size Factor base RSA Factoring Challenge Cryptography Integer factorization algorithms TWIRL
5	The Number Field Sieve Factorization of Large Numbers Add to Reading List Source URL: wob.iai.uni-bonn.de Language: English - 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
6	PDF Document Add to Reading List Source URL: www.lehigh.edu Language: English - Date: 2007-02-08 15:55:16 Abstract algebra Quadratic sieve General number field sieve Rational sieve Special number field sieve Prime number Quadratic residue Fermat number Factor base Integer factorization algorithms Mathematics Number theory