{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,27]],"date-time":"2026-03-27T11:29:24Z","timestamp":1774610964594,"version":"3.50.1"},"publisher-location":"Berlin, Heidelberg","reference-count":16,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540576006","type":"print"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/3-540-48285-7_3","type":"book-chapter","created":{"date-parts":[[2007,8,1]],"date-time":"2007-08-01T02:16:46Z","timestamp":1185934606000},"page":"28-39","source":"Crossref","is-referenced-by-count":11,"title":["Factoring Integers Using SIMD Sieves"],"prefix":"10.1007","author":[{"given":"Brandon","family":"Dixon","sequence":"first","affiliation":[]},{"given":"Arjen K.","family":"Lenstra","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"3_CR1","unstructured":"Bernstein, D. J., Lenstra, A. K.: A general number field sieve implementation (to appear)"},{"key":"3_CR2","doi-asserted-by":"publisher","first-page":"273","DOI":"10.1007\/BF00154339","volume":"1","author":"T. R. Caron","year":"1988","unstructured":"Caron, T. R., Silverman, R. D.: Parallel implementation of the quadratic sieve. J. Supercomputing 1 (1988) 273\u2013290","journal-title":"J. Supercomputing"},{"key":"3_CR3","series-title":"Tech. Report SAND","volume-title":"Factorization using the quadratic sieve algorithm","author":"J. A. Davis","year":"1983","unstructured":"Davis, J. A., Holdridge, D. B.: Factorization using the quadratic sieve algorithm. Tech. Report SAND 83-1346, Sandia National Laboratories, Albuquerque, NM, 1983"},{"key":"3_CR4","unstructured":"Dixon, B., Lenstra, A.K.: Massively parallel elliptic curve factoring. Advances in Cryptology, Eurocrypt\u201992, Lecture Notes in Comput. Sci. 658 (1993) 183\u2013193"},{"key":"3_CR5","unstructured":"Gjerken, A.: Faktorisering og parallel prosessering (in norwegian), Bergen, 1992"},{"key":"3_CR6","doi-asserted-by":"crossref","unstructured":"Lenstra, A. K.: Massively parallel computing and factoring. Proceedings Latin\u201992, Lecture Notes in Comput. Sci. 583 (1992) 344\u2013355","DOI":"10.1007\/BFb0023840"},{"key":"3_CR7","volume-title":"Handbook of theoretical computer science. Volume A, Algorithms and complexity","author":"A. K. Lenstra","year":"1990","unstructured":"Lenstra, A. K., Lenstra, H.W., Jr.: Algorithms in number theory. Chapter 12 in: van Leeuwen, J. (ed.): Handbook of theoretical computer science. Volume A, Algorithms and complexity. Elsevier, Amsterdam, 1990"},{"key":"3_CR8","doi-asserted-by":"crossref","unstructured":"Lenstra, A. K., Lenstra, H. W., Jr., Manasse, M. S., Pollard, J. M.: The factorization of the ninth Fermat number. Math. Comp. 61 (1993) (to appear)","DOI":"10.1090\/S0025-5718-1993-1182953-4"},{"key":"3_CR9","unstructured":"Lenstra, A.K., Manasse, M.S.: Factoring by electronic mail. Advances in Cryptology, Eurocrypt\u2019 89, Lecture Notes in Comput. Sci. 434 (1990) 355\u2013371"},{"key":"3_CR10","unstructured":"Lenstra, A. K., Manasse, M.S.: Factoring with two large primes. Math. Comp. (to appear)"},{"key":"3_CR11","unstructured":"MasPar MP-1 principles of operation. MasPar Computer Corporation, Sunnyvale, CA, 1989"},{"key":"3_CR12","first-page":"89","volume-title":"Computational methods in number theory. Math. Centre Tracts","author":"C. Pomerance","year":"1983","unstructured":"Pomerance, C: Analysis and comparison of some integer factoring algorithms. 89\u2013139 in: Lenstra, H. W., Jr., Tijdeman, R. (eds): Computational methods in number theory. Math. Centre Tracts 154\/155, Mathematisch Centrum, Amsterdam, 1983"},{"key":"3_CR13","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1137\/0217023","volume":"17","author":"C. Pomerance","year":"1988","unstructured":"Pomerance, C, Smith, J. W., Tuler, R.: A pipeline architecture for factoring large integers with the quadratic sieve algorithm. SIAM J. Comput. 17 (1988) 387\u2013403","journal-title":"SIAM J. Comput."},{"key":"3_CR14","first-page":"69","volume":"4","author":"H. Riele te","year":"1991","unstructured":"te Riele, H., Lioen, W., Winter, D.: Factorization beyond the googol with mpqs on a single computer. CWI Quarterly 4 (1991) 69\u201372","journal-title":"CWI Quarterly"},{"key":"3_CR15","unstructured":"RSA Data Security Corporation Inc., sci.crypt, May 18, 1991; information available by sending electronic mail to challenge-rsa-list@rsa.com"},{"key":"3_CR16","first-page":"327","volume":"84","author":"R. D. Silverman","year":"1987","unstructured":"Silverman, R. D.: The multiple polynomial quadratic sieve. Math. Comp. 84 (1987) 327\u2013339","journal-title":"Math. Comp."}],"container-title":["Lecture Notes in Computer Science","Advances in Cryptology \u2014 EUROCRYPT \u201993"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/3-540-48285-7_3.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,28]],"date-time":"2021-04-28T00:50:30Z","timestamp":1619571030000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/3-540-48285-7_3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540576006"],"references-count":16,"URL":"https:\/\/doi.org\/10.1007\/3-540-48285-7_3","relation":{},"subject":[]}}