{"id":"https://openalex.org/W1551229592","doi":"https://doi.org/10.1007/978-3-642-13708-2_3","title":"Shrinking the Keys of Discrete-Log-Type Lossy Trapdoor Functions","display_name":"Shrinking the Keys of Discrete-Log-Type Lossy Trapdoor Functions","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W1551229592","doi":"https://doi.org/10.1007/978-3-642-13708-2_3","mag":"1551229592"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-13708-2_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-13708-2_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":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://eprints.qut.edu.au/69176/23/Boyen_accepted_draft.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5110806873","display_name":"Xavier Boyen","orcid":null},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Xavier Boyen","raw_affiliation_strings":["Institut Montefiore, Universit\u00e9 de Li\u00e8ge, Belgium, University of Texas at Austin, USA","Institut Montefiore, Universit\u00e9 de Li\u00e8ge, Belgium#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Montefiore, Universit\u00e9 de Li\u00e8ge, Belgium, University of Texas at Austin, USA","institution_ids":["https://openalex.org/I157674565"]},{"raw_affiliation_string":"Institut Montefiore, Universit\u00e9 de Li\u00e8ge, Belgium#TAB#","institution_ids":["https://openalex.org/I157674565"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007379830","display_name":"Brent Waters","orcid":"https://orcid.org/0009-0008-9718-8623"},"institutions":[{"id":"https://openalex.org/I157674565","display_name":"University of Li\u00e8ge","ror":"https://ror.org/00afp2z80","country_code":"BE","type":"education","lineage":["https://openalex.org/I157674565"]},{"id":"https://openalex.org/I86519309","display_name":"The University of Texas at Austin","ror":"https://ror.org/00hj54h04","country_code":"US","type":"education","lineage":["https://openalex.org/I86519309"]}],"countries":["BE","US"],"is_corresponding":false,"raw_author_name":"Brent Waters","raw_affiliation_strings":["Institut Montefiore, Universit\u00e9 de Li\u00e8ge, Belgium, University of Texas at Austin, USA","University of Texas at Austin#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institut Montefiore, Universit\u00e9 de Li\u00e8ge, Belgium, University of Texas at Austin, USA","institution_ids":["https://openalex.org/I157674565"]},{"raw_affiliation_string":"University of Texas at Austin#TAB#","institution_ids":["https://openalex.org/I86519309"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.8215,"has_fulltext":true,"cited_by_count":28,"citation_normalized_percentile":{"value":0.94501765,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"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/T10237","display_name":"Cryptography and Data Security","score":1.0,"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":1.0,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9980999827384949,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9962999820709229,"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/lossy-compression","display_name":"Lossy compression","score":0.8221198320388794},{"id":"https://openalex.org/keywords/bilinear-interpolation","display_name":"Bilinear interpolation","score":0.6798549294471741},{"id":"https://openalex.org/keywords/string","display_name":"String (physics)","score":0.6371319890022278},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.5956113338470459},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5918315052986145},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5591602921485901},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5138804912567139},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.49393683671951294},{"id":"https://openalex.org/keywords/group","display_name":"Group (periodic table)","score":0.47839248180389404},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4690050780773163},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.42872127890586853},{"id":"https://openalex.org/keywords/oblivious-transfer","display_name":"Oblivious transfer","score":0.4105033278465271},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.3813948333263397},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3596344590187073},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34617018699645996},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.33686619997024536},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.18368366360664368},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.1248328685760498},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0845407247543335},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06405508518218994}],"concepts":[{"id":"https://openalex.org/C165021410","wikidata":"https://www.wikidata.org/wiki/Q55564","display_name":"Lossy compression","level":2,"score":0.8221198320388794},{"id":"https://openalex.org/C205203396","wikidata":"https://www.wikidata.org/wiki/Q612143","display_name":"Bilinear interpolation","level":2,"score":0.6798549294471741},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.6371319890022278},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.5956113338470459},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5918315052986145},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5591602921485901},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5138804912567139},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.49393683671951294},{"id":"https://openalex.org/C2781311116","wikidata":"https://www.wikidata.org/wiki/Q83306","display_name":"Group (periodic table)","level":2,"score":0.47839248180389404},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4690050780773163},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.42872127890586853},{"id":"https://openalex.org/C53076038","wikidata":"https://www.wikidata.org/wiki/Q2915383","display_name":"Oblivious transfer","level":3,"score":0.4105033278465271},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.3813948333263397},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3596344590187073},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34617018699645996},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.33686619997024536},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.18368366360664368},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.1248328685760498},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0845407247543335},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06405508518218994},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C178790620","wikidata":"https://www.wikidata.org/wiki/Q11351","display_name":"Organic chemistry","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-642-13708-2_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-13708-2_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:eprints.qut.edu.au:69176","is_oa":true,"landing_page_url":"https://eprints.qut.edu.au/69176/23/Boyen_accepted_draft.pdf","pdf_url":"https://eprints.qut.edu.au/69176/23/Boyen_accepted_draft.pdf","source":{"id":"https://openalex.org/S4306402607","display_name":"QUT ePrints (Queensland University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I160993911","host_organization_name":"Queensland University of Technology","host_organization_lineage":["https://openalex.org/I160993911"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Applied Cryptography and Network Security: 8th International Conference, ACNS 2010, Proceedings [Lecture Notes in Computer Science, Vol 6123]","raw_type":"Chapter in Book, Report or Conference volume"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.187.9041","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.187.9041","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.utexas.edu/users/bwaters/publications/papers/acnsproc.pdf","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:eprints.qut.edu.au:69176","is_oa":true,"landing_page_url":"https://eprints.qut.edu.au/69176/23/Boyen_accepted_draft.pdf","pdf_url":"https://eprints.qut.edu.au/69176/23/Boyen_accepted_draft.pdf","source":{"id":"https://openalex.org/S4306402607","display_name":"QUT ePrints (Queensland University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I160993911","host_organization_name":"Queensland University of Technology","host_organization_lineage":["https://openalex.org/I160993911"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Applied Cryptography and Network Security: 8th International Conference, ACNS 2010, Proceedings [Lecture Notes in Computer Science, Vol 6123]","raw_type":"Chapter in Book, Report or Conference volume"},"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.75}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1551229592.pdf","grobid_xml":"https://content.openalex.org/works/W1551229592.grobid-xml"},"referenced_works_count":39,"referenced_works":["https://openalex.org/W103647506","https://openalex.org/W1499766499","https://openalex.org/W1525451859","https://openalex.org/W1544327602","https://openalex.org/W1560474949","https://openalex.org/W1591073929","https://openalex.org/W1766548092","https://openalex.org/W1996360405","https://openalex.org/W2026892462","https://openalex.org/W2035103883","https://openalex.org/W2038761522","https://openalex.org/W2052267638","https://openalex.org/W2061106457","https://openalex.org/W2073210531","https://openalex.org/W2079913403","https://openalex.org/W2087000693","https://openalex.org/W2096778698","https://openalex.org/W2107324709","https://openalex.org/W2122973102","https://openalex.org/W2132172731","https://openalex.org/W2138669153","https://openalex.org/W2145355783","https://openalex.org/W2147436724","https://openalex.org/W2150044026","https://openalex.org/W2152783950","https://openalex.org/W2156186849","https://openalex.org/W2164988972","https://openalex.org/W2172174332","https://openalex.org/W2403106602","https://openalex.org/W2477011922","https://openalex.org/W2490520464","https://openalex.org/W2494421621","https://openalex.org/W2495595500","https://openalex.org/W2505860479","https://openalex.org/W2561675875","https://openalex.org/W2770583616","https://openalex.org/W2911777915","https://openalex.org/W3150645827","https://openalex.org/W4232836212"],"related_works":["https://openalex.org/W1995805316","https://openalex.org/W2387503788","https://openalex.org/W2165589608","https://openalex.org/W2059658550","https://openalex.org/W50067980","https://openalex.org/W2803920876","https://openalex.org/W2999957348","https://openalex.org/W2964219139","https://openalex.org/W4287903946","https://openalex.org/W2351563047"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":4},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":6}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}