{"id":"https://openalex.org/W2119496380","doi":"https://doi.org/10.1007/3-540-45539-6_3","title":"Analysis and Optimization of the TWINKLE Factoring Device","display_name":"Analysis and Optimization of the TWINKLE Factoring Device","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W2119496380","doi":"https://doi.org/10.1007/3-540-45539-6_3","mag":"2119496380"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45539-6_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45539-6_3","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":"http://infoscience.epfl.ch/record/149707","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","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":true,"raw_author_name":"Arjen K. Lenstra","raw_affiliation_strings":["Citibank, N.A., Mendham, USA","Citibank, Mendham, NJ#TAB#"],"affiliations":[{"raw_affiliation_string":"Citibank, N.A., Mendham, USA","institution_ids":["https://openalex.org/I135458274"]},{"raw_affiliation_string":"Citibank, Mendham, NJ#TAB#","institution_ids":["https://openalex.org/I135458274"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5009126679","display_name":"Adi Shamir","orcid":"https://orcid.org/0000-0002-5422-905X"},"institutions":[{"id":"https://openalex.org/I53964585","display_name":"Weizmann Institute of Science","ror":"https://ror.org/0316ej306","country_code":"IL","type":"education","lineage":["https://openalex.org/I53964585"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Adi Shamir","raw_affiliation_strings":["Computer Science Department, The Weizmann Institute, Rehovot, Israel","Computer Science Department, The Weizmann Institute, Rehovot, Israel#TAB#"],"affiliations":[{"raw_affiliation_string":"Computer Science Department, The Weizmann Institute, Rehovot, Israel","institution_ids":["https://openalex.org/I53964585"]},{"raw_affiliation_string":"Computer Science Department, The Weizmann Institute, Rehovot, Israel#TAB#","institution_ids":["https://openalex.org/I53964585"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5109240185"],"corresponding_institution_ids":["https://openalex.org/I135458274"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.0652,"has_fulltext":false,"cited_by_count":42,"citation_normalized_percentile":{"value":0.91138442,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"35","last_page":"52"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9846000075340271,"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":0.9846000075340271,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9818000197410583,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9642999768257141,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/factoring","display_name":"Factoring","score":0.8297929763793945},{"id":"https://openalex.org/keywords/sieve","display_name":"Sieve (category theory)","score":0.6955810189247131},{"id":"https://openalex.org/keywords/pentium","display_name":"Pentium","score":0.6899685859680176},{"id":"https://openalex.org/keywords/factorization","display_name":"Factorization","score":0.6052579879760742},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.567359447479248},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.4889132082462311},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.453792005777359},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.41837847232818604},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3449944853782654},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3309740126132965},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.14212816953659058}],"concepts":[{"id":"https://openalex.org/C177225278","wikidata":"https://www.wikidata.org/wiki/Q192674","display_name":"Factoring","level":2,"score":0.8297929763793945},{"id":"https://openalex.org/C17732976","wikidata":"https://www.wikidata.org/wiki/Q7511782","display_name":"Sieve (category theory)","level":2,"score":0.6955810189247131},{"id":"https://openalex.org/C46268123","wikidata":"https://www.wikidata.org/wiki/Q214314","display_name":"Pentium","level":2,"score":0.6899685859680176},{"id":"https://openalex.org/C187834632","wikidata":"https://www.wikidata.org/wiki/Q188804","display_name":"Factorization","level":2,"score":0.6052579879760742},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.567359447479248},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.4889132082462311},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.453792005777359},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.41837847232818604},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3449944853782654},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3309740126132965},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.14212816953659058},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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":8,"locations":[{"id":"doi:10.1007/3-540-45539-6_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45539-6_3","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:pure.tue.nl:openaire_cris_publications/77c1a193-cbc2-4ca8-a327-08e7255ec844","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/77c1a193-cbc2-4ca8-a327-08e7255ec844","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lenstra, A K & Shamir, A 2000, Analysis and optimization of the TWINKLE factoring device. in B Preneel (ed.), Advances in Cryptology - EUROCRYPT 2000 (Proceedings International Conference on the Theory and Application of Cryptographic Techniques, Bruges, Belgium, May 14-18, 2000). Lecture Notes in Computer Science, vol. 1807, Springer, Berlin, pp. 35-52. https://doi.org/10.1007/3-540-45539-6_3","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:665059","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=665059","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","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":"","raw_type":""},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.106.8490","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.106.8490","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.iacr.org/archive/eurocrypt2000/1807/18070035-new.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.130.5299","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.130.5299","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathmagic.cn/crypt1998-2003/papers/1807/18070035.pdf","raw_type":"text"},{"id":"pmh:oai:infoscience.epfl.ch:149707","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/149707","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"},{"id":"pmh:oai:library.tue.nl:665059","is_oa":false,"landing_page_url":"http://repository.tue.nl/665059","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","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":"","raw_type":""},{"id":"pmh:tue:oai:pure.tue.nl:publications/77c1a193-cbc2-4ca8-a327-08e7255ec844","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/77c1a193-cbc2-4ca8-a327-08e7255ec844","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Cryptology - EUROCRYPT 2000 (Proceedings International Conference on the Theory and Application of Cryptographic Techniques, Bruges, Belgium, May 14-18, 2000), 35 - 52","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":{"id":"pmh:oai:infoscience.epfl.ch:149707","is_oa":true,"landing_page_url":"http://infoscience.epfl.ch/record/149707","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1512680026","https://openalex.org/W1581948531","https://openalex.org/W1588415484","https://openalex.org/W2142778315","https://openalex.org/W2179025976","https://openalex.org/W2918128759"],"related_works":["https://openalex.org/W1597195064","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/W35972422","https://openalex.org/W1878792713","https://openalex.org/W4242883200"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}