{"id":"https://openalex.org/W2740740730","doi":"https://doi.org/10.1007/978-3-319-63697-9_14","title":"Private Multiplication over Finite Fields","display_name":"Private Multiplication over Finite Fields","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2740740730","doi":"https://doi.org/10.1007/978-3-319-63697-9_14","mag":"2740740730"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-63697-9_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-63697-9_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":"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/A5028094453","display_name":"Sonia Bela\u00efd","orcid":"https://orcid.org/0000-0002-9437-6425"},"institutions":[{"id":"https://openalex.org/I4210140930","display_name":"Thales (France)","ror":"https://ror.org/04emwm605","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210140930"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Sonia Bela\u00efd","raw_affiliation_strings":["Thales Communications & Security, Gennevilliers, France"],"affiliations":[{"raw_affiliation_string":"Thales Communications & Security, Gennevilliers, France","institution_ids":["https://openalex.org/I4210140930"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088875582","display_name":"Fabrice Benhamouda","orcid":"https://orcid.org/0000-0002-8300-1820"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Fabrice Benhamouda","raw_affiliation_strings":["IBM Research, Yorktown Heights, USA"],"affiliations":[{"raw_affiliation_string":"IBM Research, Yorktown Heights, USA","institution_ids":["https://openalex.org/I1341412227"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5062283993","display_name":"Alain Passel\u00e8gue","orcid":null},"institutions":[{"id":"https://openalex.org/I2799798094","display_name":"UCLA Health","ror":"https://ror.org/01d88se56","country_code":"US","type":"funder","lineage":["https://openalex.org/I2799798094"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alain Passel\u00e8gue","raw_affiliation_strings":["UCLA, Los Angeles, USA"],"affiliations":[{"raw_affiliation_string":"UCLA, Los Angeles, USA","institution_ids":["https://openalex.org/I2799798094"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060299604","display_name":"Emmanuel Prouff","orcid":"https://orcid.org/0000-0002-3998-0478"},"institutions":[{"id":"https://openalex.org/I4210165303","display_name":"Safran (France)","ror":"https://ror.org/05sqf9v67","country_code":"FR","type":"company","lineage":["https://openalex.org/I4210165303"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Emmanuel Prouff","raw_affiliation_strings":["Safran Identity and Security, Paris, France"],"affiliations":[{"raw_affiliation_string":"Safran Identity and Security, Paris, France","institution_ids":["https://openalex.org/I4210165303"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091750695","display_name":"Adrian Thillard","orcid":null},"institutions":[{"id":"https://openalex.org/I4210108273","display_name":"Agence Nationale de S\u00e9curit\u00e9 du M\u00e9dicament et des Produits de Sant\u00e9","ror":"https://ror.org/01g80gk13","country_code":"FR","type":"government","lineage":["https://openalex.org/I4210108273"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Adrian Thillard","raw_affiliation_strings":["ANSSI, Paris, France"],"affiliations":[{"raw_affiliation_string":"ANSSI, Paris, France","institution_ids":["https://openalex.org/I4210108273"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007227314","display_name":"Damien Vergnaud","orcid":"https://orcid.org/0000-0002-2113-3967"},"institutions":[{"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/I2746051580","display_name":"Universit\u00e9 Paris Sciences et Lettres","ror":"https://ror.org/013cjyk83","country_code":"FR","type":"education","lineage":["https://openalex.org/I2746051580"]},{"id":"https://openalex.org/I29607241","display_name":"\u00c9cole Normale Sup\u00e9rieure - PSL","ror":"https://ror.org/05a0dhs15","country_code":"FR","type":"funder","lineage":["https://openalex.org/I2746051580","https://openalex.org/I29607241"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Damien Vergnaud","raw_affiliation_strings":["D\u00e9partement d'informatique de L'ENS, \u00c9cole normale sup\u00e9rieure, CNRS, PSL Research University, 75005, Paris, France"],"affiliations":[{"raw_affiliation_string":"D\u00e9partement d'informatique de L'ENS, \u00c9cole normale sup\u00e9rieure, CNRS, PSL Research University, 75005, Paris, France","institution_ids":["https://openalex.org/I29607241","https://openalex.org/I2746051580","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5028094453"],"corresponding_institution_ids":["https://openalex.org/I4210140930"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.2386,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.96036094,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"397","last_page":"426"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9998000264167786,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9998000264167786,"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/T10237","display_name":"Cryptography and Data Security","score":0.9988999962806702,"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":0.9952999949455261,"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/finite-field","display_name":"Finite field","score":0.8205870389938354},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.6643340587615967},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.6302307844161987},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5693214535713196},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5161560773849487},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4803089499473572},{"id":"https://openalex.org/keywords/exponentiation","display_name":"Exponentiation","score":0.46986469626426697},{"id":"https://openalex.org/keywords/finite-state-machine","display_name":"Finite-state machine","score":0.46669819951057434},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.46332165598869324},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4482894539833069},{"id":"https://openalex.org/keywords/random-oracle","display_name":"Random oracle","score":0.44066858291625977},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.43673112988471985},{"id":"https://openalex.org/keywords/boolean-circuit","display_name":"Boolean circuit","score":0.42157670855522156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3937622010707855},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3856550455093384},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2656761407852173},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.19110363721847534},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.14732179045677185},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.1466994285583496},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.13924703001976013}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.8205870389938354},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.6643340587615967},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6302307844161987},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5693214535713196},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5161560773849487},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4803089499473572},{"id":"https://openalex.org/C81539297","wikidata":"https://www.wikidata.org/wiki/Q33456","display_name":"Exponentiation","level":2,"score":0.46986469626426697},{"id":"https://openalex.org/C167822520","wikidata":"https://www.wikidata.org/wiki/Q176452","display_name":"Finite-state machine","level":2,"score":0.46669819951057434},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.46332165598869324},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4482894539833069},{"id":"https://openalex.org/C94284585","wikidata":"https://www.wikidata.org/wiki/Q228184","display_name":"Random oracle","level":4,"score":0.44066858291625977},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.43673112988471985},{"id":"https://openalex.org/C141796577","wikidata":"https://www.wikidata.org/wiki/Q837479","display_name":"Boolean circuit","level":3,"score":0.42157670855522156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3937622010707855},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3856550455093384},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2656761407852173},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.19110363721847534},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.14732179045677185},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.1466994285583496},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.13924703001976013},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-319-63697-9_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-63697-9_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:HAL:hal-01613773v1","is_oa":false,"landing_page_url":"https://inria.hal.science/hal-01613773","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Advances in Cryptology - CRYPTO 2017, Aug 2017, Santa Barbara, United States. pp.397-426, ⟨10.1007/978-3-319-63697-9_14⟩","raw_type":"Conference papers"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.6200000047683716,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W191000419","https://openalex.org/W268605103","https://openalex.org/W1425736675","https://openalex.org/W1485656421","https://openalex.org/W1541150254","https://openalex.org/W1548656471","https://openalex.org/W1563465674","https://openalex.org/W1592625985","https://openalex.org/W1613874182","https://openalex.org/W1878339160","https://openalex.org/W1897761346","https://openalex.org/W2072356129","https://openalex.org/W2114286085","https://openalex.org/W2161740631","https://openalex.org/W2187461352","https://openalex.org/W2219812381","https://openalex.org/W2241259389","https://openalex.org/W2262841793","https://openalex.org/W2418954816","https://openalex.org/W2500603846","https://openalex.org/W2534456676","https://openalex.org/W2536698892","https://openalex.org/W2742871381"],"related_works":["https://openalex.org/W821885883","https://openalex.org/W2127809613","https://openalex.org/W2015737074","https://openalex.org/W2034756930","https://openalex.org/W2480811334","https://openalex.org/W2000386207","https://openalex.org/W1982516151","https://openalex.org/W2610340746","https://openalex.org/W2238466295","https://openalex.org/W2170283879"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}