{"id":"https://openalex.org/W1746297759","doi":"https://doi.org/10.1007/3-540-45539-6_14","title":"Computing Inverses over a Shared Secret Modulus","display_name":"Computing Inverses over a Shared Secret Modulus","publication_year":2000,"publication_date":"2000-01-01","ids":{"openalex":"https://openalex.org/W1746297759","doi":"https://doi.org/10.1007/3-540-45539-6_14","mag":"1746297759"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-45539-6_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45539-6_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":"conference-paper","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/A5016518322","display_name":"Dario Catalano","orcid":"https://orcid.org/0000-0001-9677-944X"},"institutions":[{"id":"https://openalex.org/I39063666","display_name":"University of Catania","ror":"https://ror.org/03a64bh57","country_code":"IT","type":"education","lineage":["https://openalex.org/I39063666"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Dario Catalano","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit\u00e0 di Catania, Viale A. Doria 6, 95125, Catania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 di Catania, Viale A. Doria 6, 95125, Catania","institution_ids":["https://openalex.org/I39063666"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013831409","display_name":"Rosario Gennaro","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Rosario Gennaro","raw_affiliation_strings":["IBM T.J.Watson Research Center, PO Box 704, Yorktown Heights, New York, 10598, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM T.J.Watson Research Center, PO Box 704, Yorktown Heights, New York, 10598, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5073301367","display_name":"Shai Halevi","orcid":"https://orcid.org/0000-0003-3432-7899"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shai Halevi","raw_affiliation_strings":["IBM T.J.Watson Research Center, PO Box 704, Yorktown Heights, New York, 10598, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IBM T.J.Watson Research Center, PO Box 704, Yorktown Heights, New York, 10598, USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":45,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"190","last_page":"206"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9947999715805054,"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":0.9945999979972839,"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/computer-science","display_name":"Computer science","score":0.7765195369720459},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5819473266601562},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.5481758713722229},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5380908846855164},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.5276573896408081},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.515772819519043},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.505254328250885},{"id":"https://openalex.org/keywords/secure-multi-party-computation","display_name":"Secure multi-party computation","score":0.49962878227233887},{"id":"https://openalex.org/keywords/signature","display_name":"Signature (topology)","score":0.49330344796180725},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.46371176838874817},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.3700375258922577},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3463517427444458},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34417128562927246},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17626261711120605},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.13900521397590637},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1108836829662323}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7765195369720459},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5819473266601562},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5481758713722229},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5380908846855164},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.5276573896408081},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.515772819519043},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.505254328250885},{"id":"https://openalex.org/C18396474","wikidata":"https://www.wikidata.org/wiki/Q2465888","display_name":"Secure multi-party computation","level":3,"score":0.49962878227233887},{"id":"https://openalex.org/C2779696439","wikidata":"https://www.wikidata.org/wiki/Q7512811","display_name":"Signature (topology)","level":2,"score":0.49330344796180725},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.46371176838874817},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.3700375258922577},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3463517427444458},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34417128562927246},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17626261711120605},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.13900521397590637},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1108836829662323},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"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/C204787440","wikidata":"https://www.wikidata.org/wiki/Q188504","display_name":"Alternative medicine","level":2,"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":5,"locations":[{"id":"doi:10.1007/3-540-45539-6_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-45539-6_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:10.1.1.106.8813","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.106.8813","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/eurocrypt2000/1807/18070191-new.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.12.1447","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.1447","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.research.ibm.com/people/s/shaih/pubs/cgh00.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.42.9761","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.42.9761","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.research.ibm.com/security/dist-inv.ps","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.85.5867","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.85.5867","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://mathmagic.cn/Crypt1998-2003/papers/1807/18070190.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5199999809265137,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W276224435","https://openalex.org/W405534807","https://openalex.org/W1493614564","https://openalex.org/W1498896551","https://openalex.org/W1546996295","https://openalex.org/W1583038314","https://openalex.org/W1589205472","https://openalex.org/W1591954407","https://openalex.org/W1730634423","https://openalex.org/W1801138528","https://openalex.org/W1850675439","https://openalex.org/W1871606885","https://openalex.org/W1885156594","https://openalex.org/W1928188623","https://openalex.org/W1963547452","https://openalex.org/W1974232544","https://openalex.org/W1996360405","https://openalex.org/W2006453614","https://openalex.org/W2027471022","https://openalex.org/W2077315235","https://openalex.org/W2080911030","https://openalex.org/W2114611273","https://openalex.org/W2147270806","https://openalex.org/W2148509425","https://openalex.org/W2230112138","https://openalex.org/W2477523090","https://openalex.org/W2484860292","https://openalex.org/W2490520464","https://openalex.org/W2493671158","https://openalex.org/W2494421621","https://openalex.org/W2495595500","https://openalex.org/W4232836212","https://openalex.org/W4245079094","https://openalex.org/W4254084739","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2397857137","https://openalex.org/W2083084382","https://openalex.org/W1557783852","https://openalex.org/W2768332800","https://openalex.org/W2188298058","https://openalex.org/W3214129216","https://openalex.org/W2129756153","https://openalex.org/W2006088653","https://openalex.org/W1474916271","https://openalex.org/W2161875663"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
