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General number field sieve
Results: 54

#	Item
21	The Function Field Sieve in the Medium Prime Case Antoine Joux1,3 and Reynald Lercier1,2 1 DGA Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:53 Integer factorization algorithms Finite fields Logarithms Group theory Cryptography General number field sieve Discrete logarithm Polynomial Computational complexity theory Abstract algebra Mathematics Algebra
22	On Class Group Computations Using the Number Field Sieve Mark L. Bauer1 and Safuat Hamdy2 1 University of Waterloo Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:54 Integer factorization algorithms Quadratic sieve General number field sieve Special number field sieve Elliptic curve Polynomial Hyperelliptic curve Quadratic form Algebraic number field Abstract algebra Algebra Mathematics
23	Factoring estimates for a 1024-bit RSA modulus Arjen Lenstra1 , Eran Tromer2 , Adi Shamir2 , Wil Kortsmit3 , Bruce Dodson4 , James Hughes5 , Paul Leyland6 1 Citibank, N.A. and Technische Universiteit Eindhoven, Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:54 Integer sequences General number field sieve TWIRL Prime number RSA Smooth number Lenstra elliptic curve factorization Factorization Factorial Integer factorization algorithms Mathematics Cryptography
24	SHARK A Realizable Special Hardware Sieving Device for Factoring 1024-bit Integers Jens Franke1 , Thorsten Kleinjung1 , Christof Paar2 , Jan Pelzl2 , Christine Priplata3 , and Colin Stahlke3 1 Add to Reading List Source URL: www.iacr.org Language: English - Date: 2008-09-15 00:54:55 General number field sieve Numbers Lattice sieving Integer factorization records Sieve TWIRL Factor base Mesh Dynamic random-access memory Integer factorization algorithms Mathematics Quadratic sieve
25	MAPREDUCE FOR INTEGER FACTORIZATION arXiv:1001.0421v1 [cs.DC] 4 Jan 2010 JAVIER TORDABLE Abstract. Integer factorization is a very hard computational problem. Currently no efficient algorithm for integer factorization i Add to Reading List Source URL: arxiv.org Language: English - Date: 2010-01-03 19:17:14 Number theory Quadratic sieve General number field sieve MapReduce Integer factorization Quadratic residue Factor base Factorization RSA Integer factorization algorithms Cryptography Mathematics
26	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
27	Mersenne Factorization Factory Thorsten Kleinjung1 , Joppe W. Bos2 , and Arjen K. Lenstra1 1 EPFL IC LACAL, Station 14, CH-1015 Lausanne, Switzerland 2 Add to Reading List Source URL: eprint.iacr.org Language: English - Date: 2014-11-24 10:02:08 Special number field sieve General number field sieve Polynomial Factorization Integer factorization Algebraic number field Prime number Elliptic curve Quadratic sieve Mathematics Integer factorization algorithms Abstract algebra
28	Cryptanalysis of RSA Variants and Implicit Factorization Santanu Sarkar August 20, 2013 Add to Reading List Source URL: math.nist.gov Language: English - Date: 2013-08-20 11:29:07 Abstract algebra RSA General number field sieve Quadratic sieve Polynomial Lenstra elliptic curve factorization Prime number Arjen Lenstra Factorization Cryptography Mathematics Integer factorization algorithms
29	CERIAS Tech Report[removed]AN EXTENSION OF THE DICKMAN FUNCTION AND ITS APPLICATION by Chaogui Zhang Center for Education and Research in Information Assurance and Security, Add to Reading List Source URL: www.cerias.purdue.edu Language: English - Date: 2005-08-22 14:30:28 Integer sequences Algebra Quadratic sieve General number field sieve Prime number Ring Algebraic number field Number theory Blum integer Integer factorization algorithms Abstract algebra Mathematics
30	Factoring Large Numbers with the TWINKLE Device (Extended Abstract) Adi Shamir Dept. of Applied Math. The Weizmann Institute of Science Add to Reading List Source URL: www.impic.org Language: English - Date: 2006-05-30 13:59:10 Quadratic sieve General number field sieve Prime number Light-emitting diode Primality test RSA Special number field sieve Sieve of Eratosthenes Cryptography Integer factorization algorithms TWINKLE