Factoring numbers using singular integers, Proceedings of the twenty-third annual ACM symposium on Theory of computing , STOC '91, pp.64-71, 1991. ,
DOI : 10.1145/103418.103432
A Kilobit Special Number Field Sieve Factorization, ASIACRYPT 2007, pp.1-12, 2007. ,
DOI : 10.1007/978-3-540-76900-2_1
Factorization of RSA-200, 2005. ,
Implementing the number field sieve, 1994. ,
Strategies in Filtering in the Number Field Sieve, ANTS 2000, pp.209-232, 2000. ,
DOI : 10.1007/10722028_11
Factorization of a 512-Bit RSA Modulus, EUROCRYPT 2000, pp.1-18, 2000. ,
DOI : 10.1007/3-540-45539-6_1
URL : https://hal.archives-ouvertes.fr/inria-00099117
Solving linear equations over GF(2): block Lanczos algorithm, Linear Algebra and its Applications, vol.192, pp.33-60, 1993. ,
DOI : 10.1016/0024-3795(93)90235-G
Solving Homogeneous Linear Equations Over GF(2) via Block Wiedemann Algorithm, Mathematics of Computation, vol.62, issue.205, pp.333-350, 1994. ,
DOI : 10.2307/2153413
A World Wide Number Field Sieve factoring record: On to 512 bits, ASIACRYPT 1996, pp.382-394, 1996. ,
DOI : 10.1007/BFb0034863
Asymptotically fast factorization of integers, Mathematics of Computation, vol.36, issue.153, pp.255-260, 1981. ,
DOI : 10.1090/S0025-5718-1981-0595059-1
Continued fractions and lattice sieving, SHARCS, 2005. ,
Lattice sieving and trial division, ANTS 1994, pp.18-27, 1994. ,
DOI : 10.1007/3-540-58691-1_38
Cofactorisation strategies for the number field sieve and an estimate for the sieving step for factoring 1024 bit integers, SHARCS, 2005. ,
On polynomial selection for the general number field sieve, Mathematics of Computation, vol.75, issue.256, pp.2037-2047, 2006. ,
DOI : 10.1090/S0025-5718-06-01870-9
Polynomial selection. Presented at the CADO Workshop on Integer Factorization, 2008. ,
COMPUTATIONAL METHODS IN PUBLIC KEY CRYPTOLOGY, pp.175-238, 2002. ,
DOI : 10.1142/9789812388841_0005
Algorithms in Number Theory, pp.673-716, 1990. ,
DOI : 10.1016/B978-0-444-88071-0.50017-5
The Development of the Number Field Sieve, LNM, vol.1554, 1993. ,
DOI : 10.1007/BFb0091534
The factorization of the ninth Fermat number, Mathematics of Computation, vol.61, issue.203, pp.61-319, 1993. ,
DOI : 10.1090/S0025-5718-1993-1182953-4
Factoring Estimates for a 1024-Bit RSA Modulus, ASIACRYPT 2003, pp.55-74, 2003. ,
DOI : 10.1007/978-3-540-40061-5_4
Shift-register synthesis and BCH decoding, IEEE Transactions on Information Theory, vol.15, issue.1, pp.122-127, 1969. ,
DOI : 10.1109/TIT.1969.1054260
Square roots of products of algebraic numbers ,
DOI : 10.1090/psapm/048/1314892
Improved polynomial selection for the number field sieve, 1999. ,
A method of factoring and the factorization of F7, Math. of Comp, vol.29, issue.129, pp.183-205, 1975. ,
Modelling the yield of number field sieve polynominals, ANTS 1998, pp.137-150, 1998. ,
A Montgomery-like square root for the Number Field Sieve, ANTS 1998, pp.151-168, 1998. ,
DOI : 10.1007/BFb0054859
The lattice sieve, pp.43-49 ,
DOI : 10.1090/psapm/042/1095550
Analysis and comparison of some integer factoring algorithms Computational Methods in Number Theory, Math. Centrum Tract, vol.154, pp.89-139, 1982. ,
The Quadratic Sieve Factoring Algorithm, EUROCRYPT 1984, pp.169-182, 1985. ,
DOI : 10.1007/3-540-39757-4_17
A tale of two sieves, 1996. ,
A method for obtaining digital signatures and public-key cryptosystems, Communications of the ACM, vol.21, issue.2, pp.120-126, 1978. ,
DOI : 10.1145/359340.359342
That's a bingo! http://www.youtube.com/watch?v=WtHTc8wIo4Q, 361748. ,
Subquadratic Computation of Vector Generating Polynomials and Improvement of the Block Wiedemann Algorithm, Journal of Symbolic Computation, vol.33, issue.5, pp.757-775, 2002. ,
DOI : 10.1006/jsco.2002.0533