{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T06:56:31Z","timestamp":1725605791244},"publisher-location":"Berlin, Heidelberg","reference-count":17,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540646709"},{"type":"electronic","value":"9783642599323"}],"license":[{"start":{"date-parts":[[1999,1,1]],"date-time":"1999-01-01T00:00:00Z","timestamp":915148800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[1999]]},"DOI":"10.1007\/978-3-642-59932-3_1","type":"book-chapter","created":{"date-parts":[[2011,9,9]],"date-time":"2011-09-09T06:57:37Z","timestamp":1315551457000},"page":"3-10","source":"Crossref","is-referenced-by-count":0,"title":["Sieving Methods for Class Group Computation"],"prefix":"10.1007","author":[{"given":"Johannes","family":"Buchmann","sequence":"first","affiliation":[]},{"suffix":"Jr.","given":"Michael J.","family":"Jacobson","sequence":"additional","affiliation":[]},{"given":"Stefan","family":"Neis","sequence":"additional","affiliation":[]},{"given":"Patrick","family":"Theobald","sequence":"additional","affiliation":[]},{"given":"Damian","family":"Weber","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"1_CR1","doi-asserted-by":"crossref","unstructured":"J.Buchmannand S. D\u00fc. Distributed class group computation. In J.Buchmann, H.Ganzinger, and W.J.Paul, editors, Informatik - Festschrift aus Anlaft des sechzigsten Geburtstages von Herro Prof. Dr. G. Hotz, volume 1 of Teubner-Texte\n                zur Informatik,pages 68\u201381. B. G. Teubner, 1991.","DOI":"10.1007\/978-3-322-95233-2"},{"key":"1_CR2","doi-asserted-by":"publisher","first-page":"53","DOI":"10.1515\/9783110865950.53","volume-title":"Computational number theory, Proc. Colloq","author":"J Buchmann","year":"1991","unstructured":"J. Buchmann and S. D\u00fc. A probabilistic class group and regulator algorithm and its implementation.InComputational number theory, Proc. Colloq.,Debrecen\/Hung. 1989, pages 53\u201372, 1991."},{"key":"1_CR3","first-page":"50","volume-title":"The development of the number field sieve, number 1554 in Lecture Notes in Mathematics","author":"JP Buhler","year":"1993","unstructured":"J.P. Buhler, H.W. Lenstra, Jr., and C. Pomerance. Factoring integers with the number field sieve. In A.K. Lenstra and H.W. Lenstra, Jr., editors, The development\n                of the number field sieve,number 1554 in Lecture Notes in Mathematics, pages 50\u201394. Springer, 1993."},{"key":"1_CR4","unstructured":"J.Buchmann, S.Neis, and D.Weber. Computing class groups with the NFS. To appear."},{"key":"1_CR5","first-page":"27","volume-title":"S\u00e9minaire de Th\u00e9orie des Nombres","author":"J Buchmann","year":"1988-89","unstructured":"J. Buchmann. A sub exponential algorithm for the determination of class groups and regulators of algebraic number fields. In S\u00e9minaire de Th\u00e9orie des Nombres ,pages 27\u201341, Paris, 1988-89."},{"key":"1_CR6","first-page":"35","volume-title":"S\u00e9minaire de Th\u00e9orie des Nombres","author":"H Cohen","year":"1993","unstructured":"H. Cohen, F. Diaz y Diaz, and M. Olivier. Calculs de nombres de classes et de regulateurs de corps quadratiques en temps sous-exponentiel. In S\u00e9minaire de\n                Th\u00e9orie des Nombres , pages 35\u201346, Paris, 1993."},{"key":"1_CR7","volume-title":"A course in computational algebraic number theory","author":"H Cohen","year":"1995","unstructured":"H. Cohen. A course in computational algebraic number theory . Springer, Heidelberg, 1995."},{"key":"1_CR8","doi-asserted-by":"crossref","unstructured":"P. D. Domich, R. Kannan, and L.E. Trotter Jr.Hermite normal form computation using modular determinant arithmetic.Mathematics of Operations Research,12,1987.","DOI":"10.1287\/moor.12.1.50"},{"key":"1_CR9","doi-asserted-by":"crossref","unstructured":"G. Havas, D. F. Holt, and S. Rees. Recognizing badly presented 7Z-modules.Linear Algebra and its Applications,192, 1993.","DOI":"10.1016\/0024-3795(93)90241-F"},{"key":"1_CR10","doi-asserted-by":"crossref","first-page":"1068","DOI":"10.1137\/0220067","volume":"20","author":"J.L. Hafner","year":"1991","unstructured":"J.L. Hafner and K.S. McCurley. Asymptotically fast triangularization of matrices over rings. SIAM J. Comput,20:1068\u20131083, 1991.","journal-title":"SIAM J. Comput"},{"key":"1_CR11","volume-title":"Key Centre for Software Technology, Department of Computer Science","author":"G Havas","year":"1994","unstructured":"G. Havas and B. S. Majewski.Hermite normal form computation for integer matrices. Technical Report TR0295, Key Centre for Software Technology, Department of Computer Science, The University of Queensland, 1994."},{"key":"1_CR12","volume-title":"Key Centre for Software Technology, Department of Computer Science","author":"G Havas","year":"1994","unstructured":"G. Havas and B. S. Majewski. Integer matrix diagonalization. Technical Report TR0277, Key Centre for Software Technology, Department of Computer Science, The University of Queensland, 1994."},{"key":"1_CR13","volume-title":"Applying sieving to the computation of quadratic class groups","author":"MJ Jacobson Jr","year":"1997","unstructured":"M.J. Jacobson, Jr. Applying sieving to the computation of quadratic class groups. to appear in Math. Comp., 1997."},{"key":"1_CR14","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511661952","volume-title":"Algorithmic Algebraic Number Theory","author":"M Pohst","year":"1989","unstructured":"M. Pohst and H. Zassenhaus. Algorithmic Algebraic Number TheoryCUP, 1989."},{"key":"1_CR15","doi-asserted-by":"publisher","first-page":"757","DOI":"10.1090\/S0025-5718-1987-0866119-8","volume":"48","author":"RD Silverman","year":"1987","unstructured":"R. D. Silverman. The multiple polynomial quadratic sieve. Math. Comp,48:757\u2013 780,1987.","journal-title":"Math. Comp."},{"key":"1_CR16","doi-asserted-by":"publisher","first-page":"24","DOI":"10.1515\/crll.1977.290.24","volume":"290","author":"HJ Stender","year":"1977","unstructured":"H.-J. Stender. L\u00f6sbare Gleichungen axn - byn = c und Grundeinheiten f\u00f6r einige algebraische Zahlko\u00f6rper vom Grade n = 3,4,6. J. reine angew. Math,290:24\u201362,1977.","journal-title":"J. reine angew. Math."},{"key":"1_CR17","volume-title":"On the computation of discrete logarithms in finite prime fields","author":"D Weber","year":"1997","unstructured":"D. Weber. On the computation of discrete logarithms in finite prime fields PhD thesis, Universit\u00e4t des Saarlandes, 1997."}],"container-title":["Algorithmic Algebra and Number Theory"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-59932-3_1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,1,29]],"date-time":"2020-01-29T10:52:26Z","timestamp":1580295146000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-59932-3_1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1999]]},"ISBN":["9783540646709","9783642599323"],"references-count":17,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-59932-3_1","relation":{},"subject":[],"published":{"date-parts":[[1999]]}}}