{"id":"https://openalex.org/W1617663512","doi":"https://doi.org/10.1007/3-540-45708-9_27","title":"Efficient Computation Modulo a Shared Secret with Application to the Generation of Shared Safe-Prime Products","display_name":"Efficient Computation Modulo a Shared Secret with Application to the Generation of Shared Safe-Prime Products","publication_year":2002,"publication_date":"2002-01-01","ids":{"openalex":"https://openalex.org/W1617663512","doi":"https://doi.org/10.1007/3-540-45708-9_27","mag":"1617663512"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45708-9_27","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-45708-9_27","pdf_url":"https://link.springer.com/content/pdf/10.1007/3-540-45708-9_27.pdf","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":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/3-540-45708-9_27.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031599269","display_name":"Joy Algesheimer","orcid":null},"institutions":[{"id":"https://openalex.org/I4210126328","display_name":"IBM Research - Zurich","ror":"https://ror.org/02js37d36","country_code":"CH","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210126328"]}],"countries":["CH"],"is_corresponding":true,"raw_author_name":"Joy Algesheimer","raw_affiliation_strings":["Zurich Research Laboratory, IBM Research, CH-8803, R\u00fcschlikon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Zurich Research Laboratory, IBM Research, CH-8803, R\u00fcschlikon","institution_ids":["https://openalex.org/I4210126328"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045989894","display_name":"Jan Camenisch","orcid":"https://orcid.org/0000-0001-6654-9459"},"institutions":[{"id":"https://openalex.org/I4210126328","display_name":"IBM Research - Zurich","ror":"https://ror.org/02js37d36","country_code":"CH","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210126328"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Jan Camenisch","raw_affiliation_strings":["Zurich Research Laboratory, IBM Research, CH-8803, R\u00fcschlikon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Zurich Research Laboratory, IBM Research, CH-8803, R\u00fcschlikon","institution_ids":["https://openalex.org/I4210126328"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5088669734","display_name":"Victor Shoup","orcid":"https://orcid.org/0009-0003-6996-5660"},"institutions":[{"id":"https://openalex.org/I4210126328","display_name":"IBM Research - Zurich","ror":"https://ror.org/02js37d36","country_code":"CH","type":"facility","lineage":["https://openalex.org/I1341412227","https://openalex.org/I4210114115","https://openalex.org/I4210126328"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Victor Shoup","raw_affiliation_strings":["Zurich Research Laboratory, IBM Research, CH-8803, R\u00fcschlikon"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Zurich Research Laboratory, IBM Research, CH-8803, R\u00fcschlikon","institution_ids":["https://openalex.org/I4210126328"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031599269"],"corresponding_institution_ids":["https://openalex.org/I4210126328"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":7.0773,"has_fulltext":true,"cited_by_count":137,"citation_normalized_percentile":{"value":0.97654165,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":95,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"417","last_page":"432"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9950000047683716,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9801999926567078,"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/modulo","display_name":"Modulo","score":0.9070665240287781},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7890838980674744},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6688836216926575},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5745803117752075},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.5355384945869446},{"id":"https://openalex.org/keywords/modulo-operation","display_name":"Modulo operation","score":0.5297998785972595},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4794118106365204},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.35327741503715515},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3430635929107666},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3000609278678894},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.24131685495376587},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.18407556414604187},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13304945826530457}],"concepts":[{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.9070665240287781},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7890838980674744},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6688836216926575},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5745803117752075},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.5355384945869446},{"id":"https://openalex.org/C183448482","wikidata":"https://www.wikidata.org/wiki/Q1799665","display_name":"Modulo operation","level":2,"score":0.5297998785972595},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4794118106365204},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.35327741503715515},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3430635929107666},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3000609278678894},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.24131685495376587},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.18407556414604187},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13304945826530457},{"id":"https://openalex.org/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0},{"id":"https://openalex.org/C142724271","wikidata":"https://www.wikidata.org/wiki/Q7208","display_name":"Pathology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/3-540-45708-9_27","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-45708-9_27","pdf_url":"https://link.springer.com/content/pdf/10.1007/3-540-45708-9_27.pdf","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"}],"best_oa_location":{"id":"doi:10.1007/3-540-45708-9_27","is_oa":true,"landing_page_url":"https://doi.org/10.1007/3-540-45708-9_27","pdf_url":"https://link.springer.com/content/pdf/10.1007/3-540-45708-9_27.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1617663512.pdf","grobid_xml":"https://content.openalex.org/works/W1617663512.grobid-xml"},"referenced_works_count":28,"referenced_works":["https://openalex.org/W1493614564","https://openalex.org/W1498896551","https://openalex.org/W1591954407","https://openalex.org/W1600823322","https://openalex.org/W1617663512","https://openalex.org/W1655990431","https://openalex.org/W1721341781","https://openalex.org/W1746297759","https://openalex.org/W1862740493","https://openalex.org/W1928188623","https://openalex.org/W1974232544","https://openalex.org/W1979215153","https://openalex.org/W1997859100","https://openalex.org/W2006453614","https://openalex.org/W2036133214","https://openalex.org/W2077315235","https://openalex.org/W2105807578","https://openalex.org/W2112138431","https://openalex.org/W2135656098","https://openalex.org/W2141420453","https://openalex.org/W2148509425","https://openalex.org/W2165210192","https://openalex.org/W2230112138","https://openalex.org/W2752885492","https://openalex.org/W3139578191","https://openalex.org/W4285719527","https://openalex.org/W6637190722","https://openalex.org/W7029321148"],"related_works":["https://openalex.org/W126207292","https://openalex.org/W2070252991","https://openalex.org/W2096889687","https://openalex.org/W1506998470","https://openalex.org/W2177966018","https://openalex.org/W2125596308","https://openalex.org/W4302423208","https://openalex.org/W3087194925","https://openalex.org/W4381743479","https://openalex.org/W2530574867"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":7},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":8}],"updated_date":"2026-05-24T08:33:08.758527","created_date":"2025-10-10T00:00:00"}
