{"id":"https://openalex.org/W3187633241","doi":"https://doi.org/10.1007/978-3-030-84252-9_22","title":"Asymptotically-Good Arithmetic Secret Sharing over $$\\mathbb {Z}/p^{\\ell }\\mathbb {Z}$$ with Strong Multiplication and Its Applications to Efficient MPC","display_name":"Asymptotically-Good Arithmetic Secret Sharing over $$\\mathbb {Z}/p^{\\ell }\\mathbb {Z}$$ with Strong Multiplication and Its Applications to Efficient MPC","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3187633241","doi":"https://doi.org/10.1007/978-3-030-84252-9_22","mag":"3187633241"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-84252-9_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-84252-9_22","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5112681145","display_name":"Ronald Cramer","orcid":null},"institutions":[{"id":"https://openalex.org/I121797337","display_name":"Leiden University","ror":"https://ror.org/027bh9e22","country_code":"NL","type":"education","lineage":["https://openalex.org/I121797337"]},{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832","https://openalex.org/I4405262988"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Ronald Cramer","raw_affiliation_strings":["Cryptology Group, CWI Amsterdam, Amsterdam, The Netherlands","Leiden University, Leiden, The Netherlands"],"affiliations":[{"raw_affiliation_string":"Cryptology Group, CWI Amsterdam, Amsterdam, The Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"Leiden University, Leiden, The Netherlands","institution_ids":["https://openalex.org/I121797337"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5107467987","display_name":"Matthieu Rambaud","orcid":"https://orcid.org/0009-0003-3042-6504"},"institutions":[{"id":"https://openalex.org/I12356871","display_name":"T\u00e9l\u00e9com Paris","ror":"https://ror.org/01naq7912","country_code":"FR","type":"education","lineage":["https://openalex.org/I12356871","https://openalex.org/I205703379","https://openalex.org/I4210145102"]},{"id":"https://openalex.org/I4210145102","display_name":"Institut Polytechnique de Paris","ror":"https://ror.org/042tfbd02","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210145102"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Matthieu Rambaud","raw_affiliation_strings":["Telecom Paris, Institut Polytechnique de Paris, Paris, France"],"affiliations":[{"raw_affiliation_string":"Telecom Paris, Institut Polytechnique de Paris, Paris, France","institution_ids":["https://openalex.org/I12356871","https://openalex.org/I4210145102"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019628468","display_name":"Chaoping Xing","orcid":"https://orcid.org/0000-0002-1257-1033"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]},{"id":"https://openalex.org/I4210132990","display_name":"State Key Laboratory of Cryptology","ror":"https://ror.org/02pn5rj08","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210132990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chaoping Xing","raw_affiliation_strings":["School of Electronic Information and Electric Engineering, Shanghai Jiao Tong University, Shanghai, China","State Key Laboratory of Cryptology, Beijing, China"],"affiliations":[{"raw_affiliation_string":"School of Electronic Information and Electric Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]},{"raw_affiliation_string":"State Key Laboratory of Cryptology, Beijing, China","institution_ids":["https://openalex.org/I4210132990"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5107467987","https://openalex.org/A5112681145"],"corresponding_institution_ids":["https://openalex.org/I121797337","https://openalex.org/I12356871","https://openalex.org/I1341640284","https://openalex.org/I4210145102"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":5.0192,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.96302391,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"656","last_page":"686"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9998999834060669,"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":0.9998999834060669,"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/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.8106609582901001},{"id":"https://openalex.org/keywords/secret-sharing","display_name":"Secret sharing","score":0.6635861396789551},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.597798228263855},{"id":"https://openalex.org/keywords/secure-multi-party-computation","display_name":"Secure multi-party computation","score":0.5543884634971619},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5353646278381348},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.50510174036026},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.46527406573295593},{"id":"https://openalex.org/keywords/communication-complexity","display_name":"Communication complexity","score":0.4356829822063446},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3869718015193939},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3492509424686432},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.33489102125167847},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2028837502002716},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.14382240176200867}],"concepts":[{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.8106609582901001},{"id":"https://openalex.org/C3087436","wikidata":"https://www.wikidata.org/wiki/Q1386603","display_name":"Secret sharing","level":3,"score":0.6635861396789551},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.597798228263855},{"id":"https://openalex.org/C18396474","wikidata":"https://www.wikidata.org/wiki/Q2465888","display_name":"Secure multi-party computation","level":3,"score":0.5543884634971619},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5353646278381348},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.50510174036026},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.46527406573295593},{"id":"https://openalex.org/C179145077","wikidata":"https://www.wikidata.org/wiki/Q5154130","display_name":"Communication complexity","level":2,"score":0.4356829822063446},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3869718015193939},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3492509424686432},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.33489102125167847},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2028837502002716},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.14382240176200867}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-030-84252-9_22","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-84252-9_22","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:cwi:oai:cwi.nl:31116","is_oa":false,"landing_page_url":"https://ir.cwi.nl/pub/31116","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":"","raw_type":"info:eu-repo/semantics/conferencepaper"},{"id":"pmh:oai:HAL:hal-03800642v1","is_oa":false,"landing_page_url":"https://hal.science/hal-03800642","pdf_url":null,"source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","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":"Crypto, Aug 2021, Virtual event, France. pp.656-686, &#x27E8;10.1007/978-3-030-84252-9_22&#x27E9;","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/17","score":0.46000000834465027,"display_name":"Partnerships for the goals"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W48039395","https://openalex.org/W1556155774","https://openalex.org/W1557415002","https://openalex.org/W1574535057","https://openalex.org/W1576843907","https://openalex.org/W1581614720","https://openalex.org/W1965492831","https://openalex.org/W1977228418","https://openalex.org/W1980227445","https://openalex.org/W1989603733","https://openalex.org/W1993630801","https://openalex.org/W2032431003","https://openalex.org/W2080975816","https://openalex.org/W2130901615","https://openalex.org/W2147731984","https://openalex.org/W2159193690","https://openalex.org/W2170763591","https://openalex.org/W2171843169","https://openalex.org/W2397857137","https://openalex.org/W2402235285","https://openalex.org/W2506733341","https://openalex.org/W2794500245","https://openalex.org/W2810304253","https://openalex.org/W2811070514","https://openalex.org/W2811331976","https://openalex.org/W2892164098","https://openalex.org/W2901954812","https://openalex.org/W2963289983","https://openalex.org/W2966900502","https://openalex.org/W2990913254","https://openalex.org/W2991155000","https://openalex.org/W3008381581","https://openalex.org/W3013421208","https://openalex.org/W3091480782","https://openalex.org/W3097289819","https://openalex.org/W3106542468","https://openalex.org/W3109351938","https://openalex.org/W3111032938","https://openalex.org/W3118045199","https://openalex.org/W6633728996"],"related_works":["https://openalex.org/W2397857137","https://openalex.org/W2083084382","https://openalex.org/W1557783852","https://openalex.org/W2188298058","https://openalex.org/W3214129216","https://openalex.org/W2768332800","https://openalex.org/W2006088653","https://openalex.org/W2129756153","https://openalex.org/W1474916271","https://openalex.org/W2161875663"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
