{"id":"https://openalex.org/W1559083592","doi":"https://doi.org/10.1007/3-540-48329-2_14","title":"An implementation of the general number field sieve","display_name":"An implementation of the general number field sieve","publication_year":2007,"publication_date":"2007-08-05","ids":{"openalex":"https://openalex.org/W1559083592","doi":"https://doi.org/10.1007/3-540-48329-2_14","mag":"1559083592"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-48329-2_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-48329-2_14","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058021952","display_name":"Johannes Buchmann","orcid":"https://orcid.org/0000-0001-8995-3446"},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"J. Buchmann","raw_affiliation_strings":["Fachbereich Infonnatik, Universit\u00e4t des Saarlandes, Saarbr\u00fccken, Germany","Univ. des Saarlandes, Saarbru\u00a8cken, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Fachbereich Infonnatik, Universit\u00e4t des Saarlandes, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Univ. des Saarlandes, Saarbru\u00a8cken, Germany#TAB#","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009323602","display_name":"J\u00fcrgen Loho","orcid":null},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J. Loho","raw_affiliation_strings":["Fachbereich Infonnatik, Universit\u00e4t des Saarlandes, Saarbr\u00fccken, Germany","Univ. des Saarlandes, Saarbru\u00a8cken, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Fachbereich Infonnatik, Universit\u00e4t des Saarlandes, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Univ. des Saarlandes, Saarbru\u00a8cken, Germany#TAB#","institution_ids":["https://openalex.org/I91712215"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5059756795","display_name":"J\u00f6rg Zayer","orcid":null},"institutions":[{"id":"https://openalex.org/I91712215","display_name":"Saarland University","ror":"https://ror.org/01jdpyv68","country_code":"DE","type":"education","lineage":["https://openalex.org/I91712215"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"J. Zayer","raw_affiliation_strings":["Fachbereich Infonnatik, Universit\u00e4t des Saarlandes, Saarbr\u00fccken, Germany","Univ. des Saarlandes, Saarbru\u00a8cken, Germany#TAB#"],"affiliations":[{"raw_affiliation_string":"Fachbereich Infonnatik, Universit\u00e4t des Saarlandes, Saarbr\u00fccken, Germany","institution_ids":["https://openalex.org/I91712215"]},{"raw_affiliation_string":"Univ. des Saarlandes, Saarbru\u00a8cken, Germany#TAB#","institution_ids":["https://openalex.org/I91712215"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5058021952"],"corresponding_institution_ids":["https://openalex.org/I91712215"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.142,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.80003153,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"159","last_page":"165"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9991999864578247,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9969000220298767,"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"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.7789052724838257},{"id":"https://openalex.org/keywords/sieve","display_name":"Sieve (category theory)","score":0.5711817741394043},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5486083030700684},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5199217200279236},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.42486751079559326},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4012819528579712},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3788098096847534},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37559598684310913},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.3460445702075958},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15631872415542603}],"concepts":[{"id":"https://openalex.org/C177225278","wikidata":"https://www.wikidata.org/wiki/Q192674","display_name":"Factoring","level":2,"score":0.7789052724838257},{"id":"https://openalex.org/C17732976","wikidata":"https://www.wikidata.org/wiki/Q7511782","display_name":"Sieve (category theory)","level":2,"score":0.5711817741394043},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5486083030700684},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5199217200279236},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.42486751079559326},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4012819528579712},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3788098096847534},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37559598684310913},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.3460445702075958},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15631872415542603},{"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},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-48329-2_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-48329-2_14","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:CiteSeerX.psu:10.1.1.45.3031","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.3031","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.informatik.tu-darmstadt.de/pub/TI/reports/nfs.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W187332811","https://openalex.org/W1480976258","https://openalex.org/W2095985205","https://openalex.org/W2142778315","https://openalex.org/W2257714540","https://openalex.org/W2752853835"],"related_works":["https://openalex.org/W2377710379","https://openalex.org/W2947911821","https://openalex.org/W2393473966","https://openalex.org/W2260256814","https://openalex.org/W2944757884","https://openalex.org/W2997214518","https://openalex.org/W2963853167","https://openalex.org/W2366592368","https://openalex.org/W2594575493","https://openalex.org/W2282911511"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}