{"id":"https://openalex.org/W2146066476","doi":"https://doi.org/10.1007/bfb0034863","title":"A World Wide Number Field Sieve factoring record: On to 512 bits","display_name":"A World Wide Number Field Sieve factoring record: On to 512 bits","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W2146066476","doi":"https://doi.org/10.1007/bfb0034863","mag":"2146066476"},"language":"en","primary_location":{"id":"doi:10.1007/bfb0034863","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0034863","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ir.cwi.nl/pub/1940/1940D.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111931424","display_name":"James Cowie","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"James Cowie","raw_affiliation_strings":["Cooperating Systems Corporation, 12 Hollywood Drive, 02167, Chestnut Hill, MA, USA","Cooperating Systems Corporation"],"affiliations":[{"raw_affiliation_string":"Cooperating Systems Corporation, 12 Hollywood Drive, 02167, Chestnut Hill, MA, USA","institution_ids":[]},{"raw_affiliation_string":"Cooperating Systems Corporation","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074138372","display_name":"Bruce Dodson","orcid":null},"institutions":[{"id":"https://openalex.org/I186143895","display_name":"Lehigh University","ror":"https://ror.org/012afjb06","country_code":"US","type":"education","lineage":["https://openalex.org/I186143895"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Bruce Dodson","raw_affiliation_strings":["Department of Mathematics, Lehigh University, 18015-3174, Bethlehem, PA, USA","Lehigh University,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Lehigh University, 18015-3174, Bethlehem, PA, USA","institution_ids":["https://openalex.org/I186143895"]},{"raw_affiliation_string":"Lehigh University,","institution_ids":["https://openalex.org/I186143895"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070306578","display_name":"R. Marije Elkenbracht-Huizing","orcid":null},"institutions":[{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"R. Marije Elkenbracht-Huizing","raw_affiliation_strings":["Centrum voor Wiskunde en Informatica, Kruislaan 413, 1098, SJ Amsterdam, The Netherlands","Centrum voor Wiskunde en Informatica"],"affiliations":[{"raw_affiliation_string":"Centrum voor Wiskunde en Informatica, Kruislaan 413, 1098, SJ Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"Centrum voor Wiskunde en Informatica","institution_ids":["https://openalex.org/I1341640284"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5109240185","display_name":"Arjen K. Lenstra","orcid":null},"institutions":[{"id":"https://openalex.org/I135458274","display_name":"Citigroup","ror":"https://ror.org/032xgdx47","country_code":"US","type":"other","lineage":["https://openalex.org/I135458274"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Arjen K. Lenstra","raw_affiliation_strings":["Citibank, N.A., 4 Sylvan Way, 07054, Parsippany, NJ, USA","CITIBANK, N.A"],"affiliations":[{"raw_affiliation_string":"Citibank, N.A., 4 Sylvan Way, 07054, Parsippany, NJ, USA","institution_ids":["https://openalex.org/I135458274"]},{"raw_affiliation_string":"CITIBANK, N.A","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053924378","display_name":"Peter L. Montgomery","orcid":null},"institutions":[{"id":"https://openalex.org/I4210125849","display_name":"Kaiser Permanente San Rafael Medical Center","ror":"https://ror.org/0299ptp31","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I1343052199","https://openalex.org/I4210125849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter L. Montgomery","raw_affiliation_strings":["780 Las Colindas Road, 94903-2346, San Rafael, CA, USA","San Rafael, USA"],"affiliations":[{"raw_affiliation_string":"780 Las Colindas Road, 94903-2346, San Rafael, CA, USA","institution_ids":[]},{"raw_affiliation_string":"San Rafael, USA","institution_ids":["https://openalex.org/I4210125849"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059756795","display_name":"J\u00f6rg Zayer","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"J\u00f6rg Zayer","raw_affiliation_strings":["Gartenstrasse 13, 66352, Dorf im Warndt, Germany","Dorf im Warndt, Germany"],"affiliations":[{"raw_affiliation_string":"Gartenstrasse 13, 66352, Dorf im Warndt, Germany","institution_ids":[]},{"raw_affiliation_string":"Dorf im Warndt, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5111931424"],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":15.5687,"has_fulltext":true,"cited_by_count":73,"citation_normalized_percentile":{"value":0.99433428,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"382","last_page":"394"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9927999973297119,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/factoring","display_name":"Factoring","score":0.7762264013290405},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6517499685287476},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6413214206695557},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5616456866264343},{"id":"https://openalex.org/keywords/cryptosystem","display_name":"Cryptosystem","score":0.545007586479187},{"id":"https://openalex.org/keywords/extrapolation","display_name":"Extrapolation","score":0.5327486991882324},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.49298831820487976},{"id":"https://openalex.org/keywords/integer-factorization","display_name":"Integer factorization","score":0.44042178988456726},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.33496198058128357},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31523674726486206},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2997936010360718},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.23324844241142273},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.18164962530136108},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.1487063467502594},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.10694488883018494}],"concepts":[{"id":"https://openalex.org/C177225278","wikidata":"https://www.wikidata.org/wiki/Q192674","display_name":"Factoring","level":2,"score":0.7762264013290405},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6517499685287476},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6413214206695557},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5616456866264343},{"id":"https://openalex.org/C6295992","wikidata":"https://www.wikidata.org/wiki/Q976521","display_name":"Cryptosystem","level":3,"score":0.545007586479187},{"id":"https://openalex.org/C132459708","wikidata":"https://www.wikidata.org/wiki/Q744069","display_name":"Extrapolation","level":2,"score":0.5327486991882324},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.49298831820487976},{"id":"https://openalex.org/C119677069","wikidata":"https://www.wikidata.org/wiki/Q4846249","display_name":"Integer factorization","level":4,"score":0.44042178988456726},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.33496198058128357},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31523674726486206},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2997936010360718},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.23324844241142273},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.18164962530136108},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1487063467502594},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.10694488883018494},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/bfb0034863","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bfb0034863","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:cwi.nl:1940","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/1940","pdf_url":"https://ir.cwi.nl/pub/1940/1940D.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:infoscience.epfl.ch:149470","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/149470","pdf_url":null,"source":{"id":"https://openalex.org/S4306400487","display_name":"Infoscience (Ecole Polytechnique F\u00e9d\u00e9rale de Lausanne)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"}],"best_oa_location":{"id":"pmh:oai:cwi.nl:1940","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/1940","pdf_url":"https://ir.cwi.nl/pub/1940/1940D.pdf","source":{"id":"https://openalex.org/S7407055335","display_name":"Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.44999998807907104,"id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2146066476.pdf"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W1480976258","https://openalex.org/W1531371507","https://openalex.org/W1559083592","https://openalex.org/W1588415484","https://openalex.org/W1588702296","https://openalex.org/W1591622349","https://openalex.org/W1813951697","https://openalex.org/W2046040650","https://openalex.org/W2078003433","https://openalex.org/W2119819322","https://openalex.org/W2175859306","https://openalex.org/W2179025976","https://openalex.org/W2179504188","https://openalex.org/W2179913373","https://openalex.org/W2257714540","https://openalex.org/W2483346752","https://openalex.org/W2582499423","https://openalex.org/W4236675772","https://openalex.org/W4251348068"],"related_works":["https://openalex.org/W2046040650","https://openalex.org/W2286463884","https://openalex.org/W1480976258","https://openalex.org/W2383277875","https://openalex.org/W4322743007","https://openalex.org/W3039165822","https://openalex.org/W2334391116","https://openalex.org/W4224242547","https://openalex.org/W2056535338","https://openalex.org/W2040107424"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
