{"id":"https://openalex.org/W20286062","doi":"https://doi.org/10.1007/978-3-540-85174-5_30","title":"Noninteractive Statistical Zero-Knowledge Proofs for Lattice Problems","display_name":"Noninteractive Statistical Zero-Knowledge Proofs for Lattice Problems","publication_year":2008,"publication_date":"2008-08-20","ids":{"openalex":"https://openalex.org/W20286062","doi":"https://doi.org/10.1007/978-3-540-85174-5_30","mag":"20286062"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-85174-5_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85174-5_30","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/A5086535374","display_name":"Chris Peikert","orcid":"https://orcid.org/0000-0003-0419-7501"},"institutions":[{"id":"https://openalex.org/I1298353152","display_name":"SRI International","ror":"https://ror.org/05s570m15","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1298353152"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Chris Peikert","raw_affiliation_strings":["SRI International, \u00a0","SRI, International;"],"affiliations":[{"raw_affiliation_string":"SRI International, \u00a0","institution_ids":["https://openalex.org/I1298353152"]},{"raw_affiliation_string":"SRI, International;","institution_ids":["https://openalex.org/I1298353152"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000240220","display_name":"Vinod Vaikuntanathan","orcid":"https://orcid.org/0000-0002-2666-0045"},"institutions":[{"id":"https://openalex.org/I4210109586","display_name":"Moscow Institute of Thermal Technology","ror":"https://ror.org/021es5e59","country_code":"RU","type":"facility","lineage":["https://openalex.org/I4210109586"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vinod Vaikuntanathan","raw_affiliation_strings":["MIT, \u00a0","MIT,"],"affiliations":[{"raw_affiliation_string":"MIT, \u00a0","institution_ids":["https://openalex.org/I4210109586"]},{"raw_affiliation_string":"MIT,","institution_ids":["https://openalex.org/I4210109586"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086535374"],"corresponding_institution_ids":["https://openalex.org/I1298353152"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":3.6249,"has_fulltext":false,"cited_by_count":61,"citation_normalized_percentile":{"value":0.93423868,"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":"536","last_page":"553"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9983999729156494,"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"}},{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9879999756813049,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.8523008823394775},{"id":"https://openalex.org/keywords/zero-knowledge-proof","display_name":"Zero-knowledge proof","score":0.703856885433197},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6342353820800781},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5431380271911621},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5107057690620422},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45082709193229675},{"id":"https://openalex.org/keywords/lattice-problem","display_name":"Lattice problem","score":0.44883793592453003},{"id":"https://openalex.org/keywords/gas-meter-prover","display_name":"Gas meter prover","score":0.43786340951919556},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.42398500442504883},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.35893723368644714},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.35535728931427},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3037172853946686},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.2763561010360718},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18550258874893188}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8523008823394775},{"id":"https://openalex.org/C176329583","wikidata":"https://www.wikidata.org/wiki/Q191943","display_name":"Zero-knowledge proof","level":3,"score":0.703856885433197},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6342353820800781},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5431380271911621},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5107057690620422},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45082709193229675},{"id":"https://openalex.org/C168482242","wikidata":"https://www.wikidata.org/wiki/Q6497128","display_name":"Lattice problem","level":3,"score":0.44883793592453003},{"id":"https://openalex.org/C159718280","wikidata":"https://www.wikidata.org/wiki/Q5526353","display_name":"Gas meter prover","level":3,"score":0.43786340951919556},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.42398500442504883},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.35893723368644714},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.35535728931427},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3037172853946686},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.2763561010360718},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18550258874893188},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-85174-5_30","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85174-5_30","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W35826337","https://openalex.org/W103647506","https://openalex.org/W149470655","https://openalex.org/W174000446","https://openalex.org/W259957856","https://openalex.org/W1484557542","https://openalex.org/W1485280854","https://openalex.org/W1495333819","https://openalex.org/W1499237070","https://openalex.org/W1524224389","https://openalex.org/W1535259605","https://openalex.org/W1536683582","https://openalex.org/W1539572409","https://openalex.org/W1589421353","https://openalex.org/W1590713339","https://openalex.org/W1818243338","https://openalex.org/W1965163152","https://openalex.org/W1970606468","https://openalex.org/W1972050218","https://openalex.org/W1976527161","https://openalex.org/W1982051149","https://openalex.org/W1984976620","https://openalex.org/W1989510734","https://openalex.org/W1994790157","https://openalex.org/W1995926987","https://openalex.org/W2000333212","https://openalex.org/W2001093624","https://openalex.org/W2011112377","https://openalex.org/W2012589104","https://openalex.org/W2021586362","https://openalex.org/W2031714952","https://openalex.org/W2037426925","https://openalex.org/W2038517014","https://openalex.org/W2038761522","https://openalex.org/W2050689197","https://openalex.org/W2051250911","https://openalex.org/W2061949491","https://openalex.org/W2069170136","https://openalex.org/W2070971235","https://openalex.org/W2079913403","https://openalex.org/W2096390054","https://openalex.org/W2112639677","https://openalex.org/W2119602408","https://openalex.org/W2139044314","https://openalex.org/W2141040012","https://openalex.org/W2142048307","https://openalex.org/W2143716337","https://openalex.org/W2151715405","https://openalex.org/W2157396841","https://openalex.org/W2169690324","https://openalex.org/W2181114408","https://openalex.org/W2193335728","https://openalex.org/W2369978792","https://openalex.org/W2475397807","https://openalex.org/W2476012767","https://openalex.org/W2480001466","https://openalex.org/W2484860292","https://openalex.org/W2496127125","https://openalex.org/W2561675875","https://openalex.org/W3217775779","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2950202488","https://openalex.org/W2604424424","https://openalex.org/W1970588133","https://openalex.org/W1567449721","https://openalex.org/W768959333","https://openalex.org/W3100311625","https://openalex.org/W1999537009","https://openalex.org/W2120766045","https://openalex.org/W2081058418","https://openalex.org/W2777354851"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":9},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":5},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":5}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}