{"id":"https://openalex.org/W2225440610","doi":"https://doi.org/10.1007/978-3-319-29485-8_26","title":"Factoring $$N=p^rq^s$$ for Large r and s","display_name":"Factoring $$N=p^rq^s$$ for Large r and s","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2225440610","doi":"https://doi.org/10.1007/978-3-319-29485-8_26","mag":"2225440610"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-29485-8_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-29485-8_26","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://inria.hal.science/hal-01250302","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110153809","display_name":"Jean-S\u00e9bastien Coron","orcid":"https://orcid.org/0000-0003-1021-3344"},"institutions":[{"id":"https://openalex.org/I186903577","display_name":"University of Luxembourg","ror":"https://ror.org/036x5ad56","country_code":"LU","type":"education","lineage":["https://openalex.org/I186903577"]}],"countries":["LU"],"is_corresponding":true,"raw_author_name":"Jean-S\u00e9bastien Coron","raw_affiliation_strings":["University of Luxembourg, Luxembourg City, Luxembourg"],"affiliations":[{"raw_affiliation_string":"University of Luxembourg, Luxembourg City, Luxembourg","institution_ids":["https://openalex.org/I186903577"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107405594","display_name":"Jean\u2010Charles Faug\u00e8re","orcid":null},"institutions":[{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I4210159731","display_name":"Laboratoire de Recherche en Informatique de Paris 6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Charles Faug\u00e8re","raw_affiliation_strings":["CNRS, UMR 7606, LIP6 UPMC, 75005, Paris, France","INRIA, POLSYS, Centre Paris-Rocquencourt, 78153, Le Chesnay, France","Sorbonne Universit\u00e9s, UPMC Univ Paris 06, \u00c9quipe POLSYS, LIP6 UPMC, 75005, Paris, France"],"affiliations":[{"raw_affiliation_string":"CNRS, UMR 7606, LIP6 UPMC, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210159731","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"INRIA, POLSYS, Centre Paris-Rocquencourt, 78153, Le Chesnay, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Sorbonne Universit\u00e9s, UPMC Univ Paris 06, \u00c9quipe POLSYS, LIP6 UPMC, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I204730241"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085614648","display_name":"Gu\u00e9na\u00ebl Renault","orcid":"https://orcid.org/0000-0002-7050-9975"},"institutions":[{"id":"https://openalex.org/I4210159731","display_name":"Laboratoire de Recherche en Informatique de Paris 6","ror":"https://ror.org/05krcen59","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I39804081","https://openalex.org/I4210159245","https://openalex.org/I4210159731"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Gu\u00e9na\u00ebl Renault","raw_affiliation_strings":["CNRS, UMR 7606, LIP6 UPMC, 75005, Paris, France","INRIA, POLSYS, Centre Paris-Rocquencourt, 78153, Le Chesnay, France","Sorbonne Universit\u00e9s, UPMC Univ Paris 06, \u00c9quipe POLSYS, LIP6 UPMC, 75005, Paris, France"],"affiliations":[{"raw_affiliation_string":"CNRS, UMR 7606, LIP6 UPMC, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I4210159731","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"INRIA, POLSYS, Centre Paris-Rocquencourt, 78153, Le Chesnay, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"Sorbonne Universit\u00e9s, UPMC Univ Paris 06, \u00c9quipe POLSYS, LIP6 UPMC, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I204730241"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058313935","display_name":"Rina Zeitoun","orcid":null},"institutions":[{"id":"https://openalex.org/I87777523","display_name":"Oberthur Technologies (France)","ror":"https://ror.org/039ds3g53","country_code":"FR","type":"company","lineage":["https://openalex.org/I87777523"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Rina Zeitoun","raw_affiliation_strings":["Oberthur Technologies, 420 rue d\u2019Estienne d\u2019Orves, CS 40008, 92705, Colombes, France","Oberthur Technologies, 420 rue d'Estienne d'Orves, CS 40008, 92705, Colombes, France"],"affiliations":[{"raw_affiliation_string":"Oberthur Technologies, 420 rue d\u2019Estienne d\u2019Orves, CS 40008, 92705, Colombes, France","institution_ids":["https://openalex.org/I87777523"]},{"raw_affiliation_string":"Oberthur Technologies, 420 rue d'Estienne d'Orves, CS 40008, 92705, Colombes, France","institution_ids":["https://openalex.org/I87777523"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5110153809"],"corresponding_institution_ids":["https://openalex.org/I186903577"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.0159,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.73502848,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"448","last_page":"464"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9997000098228455,"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/T10237","display_name":"Cryptography and Data Security","score":0.9997000098228455,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9968000054359436,"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":0.8755947351455688},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7960467338562012},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.48099955916404724},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4350385367870331},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3877483010292053},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.32209938764572144},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.13924196362495422}],"concepts":[{"id":"https://openalex.org/C177225278","wikidata":"https://www.wikidata.org/wiki/Q192674","display_name":"Factoring","level":2,"score":0.8755947351455688},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7960467338562012},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.48099955916404724},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4350385367870331},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3877483010292053},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.32209938764572144},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.13924196362495422},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-319-29485-8_26","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-29485-8_26","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:10.1.1.729.5477","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.729.5477","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eprint.iacr.org/2015/071.pdf","raw_type":"text"},{"id":"pmh:oai:HAL:hal-01250302v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01250302","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"RSA Conference Cryptographers' Track , Feb 2016, San Francisco, United States. &#x27E8;10.1007/978-3-319-29485-8_26&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01250302v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01250302","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"RSA Conference Cryptographers' Track , Feb 2016, San Francisco, United States. &#x27E8;10.1007/978-3-319-29485-8_26&#x27E9;","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W197405257","https://openalex.org/W1483793314","https://openalex.org/W1503520699","https://openalex.org/W1517148864","https://openalex.org/W1550863203","https://openalex.org/W1562208741","https://openalex.org/W1598552949","https://openalex.org/W1602865989","https://openalex.org/W1749471906","https://openalex.org/W2005317356","https://openalex.org/W2019689629","https://openalex.org/W2025623851","https://openalex.org/W2072079288","https://openalex.org/W2101040389","https://openalex.org/W2141040012","https://openalex.org/W2147906334","https://openalex.org/W2155578564","https://openalex.org/W2161758817"],"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/W3010132509"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
