{"id":"https://openalex.org/W1582366923","doi":"https://doi.org/10.1007/978-3-642-02882-3_15","title":"Efficient Non-interactive Range Proof","display_name":"Efficient Non-interactive Range Proof","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W1582366923","doi":"https://doi.org/10.1007/978-3-642-02882-3_15","mag":"1582366923"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-02882-3_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-02882-3_15","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/A5019095519","display_name":"Tsz Hon Yuen","orcid":"https://orcid.org/0000-0002-0629-6792"},"institutions":[{"id":"https://openalex.org/I204824540","display_name":"University of Wollongong","ror":"https://ror.org/00jtmb277","country_code":"AU","type":"education","lineage":["https://openalex.org/I204824540"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Tsz Hon Yuen","raw_affiliation_strings":["University of Wollongong, Australia","Univ. of Wollongong, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Wollongong, Australia","institution_ids":["https://openalex.org/I204824540"]},{"raw_affiliation_string":"Univ. of Wollongong, Australia#TAB#","institution_ids":["https://openalex.org/I204824540"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011282586","display_name":"Qiong Huang","orcid":"https://orcid.org/0000-0002-7666-8985"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Qiong Huang","raw_affiliation_strings":["City University of Hong Kong, China","City University of Hong Kong; China"],"affiliations":[{"raw_affiliation_string":"City University of Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"City University of Hong Kong; China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5008178136","display_name":"Yi Mu","orcid":"https://orcid.org/0000-0002-1637-845X"},"institutions":[{"id":"https://openalex.org/I204824540","display_name":"University of Wollongong","ror":"https://ror.org/00jtmb277","country_code":"AU","type":"education","lineage":["https://openalex.org/I204824540"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Yi Mu","raw_affiliation_strings":["University of Wollongong, Australia","Univ. of Wollongong, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Wollongong, Australia","institution_ids":["https://openalex.org/I204824540"]},{"raw_affiliation_string":"Univ. of Wollongong, Australia#TAB#","institution_ids":["https://openalex.org/I204824540"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054741725","display_name":"Willy Susilo","orcid":"https://orcid.org/0000-0002-1562-5105"},"institutions":[{"id":"https://openalex.org/I204824540","display_name":"University of Wollongong","ror":"https://ror.org/00jtmb277","country_code":"AU","type":"education","lineage":["https://openalex.org/I204824540"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Willy Susilo","raw_affiliation_strings":["University of Wollongong, Australia","Univ. of Wollongong, Australia#TAB#"],"affiliations":[{"raw_affiliation_string":"University of Wollongong, Australia","institution_ids":["https://openalex.org/I204824540"]},{"raw_affiliation_string":"Univ. of Wollongong, Australia#TAB#","institution_ids":["https://openalex.org/I204824540"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113580468","display_name":"Duncan S. Wong","orcid":null},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Duncan S. Wong","raw_affiliation_strings":["City University of Hong Kong, China","City University of Hong Kong; China"],"affiliations":[{"raw_affiliation_string":"City University of Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"City University of Hong Kong; China","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091475823","display_name":"Guomin Yang","orcid":"https://orcid.org/0000-0002-4949-7738"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Guomin Yang","raw_affiliation_strings":["City University of Hong Kong, China","City University of Hong Kong; China"],"affiliations":[{"raw_affiliation_string":"City University of Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"City University of Hong Kong; China","institution_ids":["https://openalex.org/I168719708"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5019095519"],"corresponding_institution_ids":["https://openalex.org/I204824540"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.7366,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.8575056,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"138","last_page":"147"},"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":0.9961000084877014,"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/random-oracle","display_name":"Random oracle","score":0.7636278867721558},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6815941333770752},{"id":"https://openalex.org/keywords/soundness","display_name":"Soundness","score":0.6790003776550293},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.603352963924408},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5896134376525879},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.5292204022407532},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.5230035185813904},{"id":"https://openalex.org/keywords/proof-complexity","display_name":"Proof complexity","score":0.4840328097343445},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.4442934989929199},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.43951615691185},{"id":"https://openalex.org/keywords/scheme","display_name":"Scheme (mathematics)","score":0.417550265789032},{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.38040778040885925},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32950717210769653},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2915008068084717},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07404035329818726}],"concepts":[{"id":"https://openalex.org/C94284585","wikidata":"https://www.wikidata.org/wiki/Q228184","display_name":"Random oracle","level":4,"score":0.7636278867721558},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6815941333770752},{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.6790003776550293},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.603352963924408},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5896134376525879},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.5292204022407532},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.5230035185813904},{"id":"https://openalex.org/C105605280","wikidata":"https://www.wikidata.org/wiki/Q7249999","display_name":"Proof complexity","level":3,"score":0.4840328097343445},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.4442934989929199},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.43951615691185},{"id":"https://openalex.org/C77618280","wikidata":"https://www.wikidata.org/wiki/Q1155772","display_name":"Scheme (mathematics)","level":2,"score":0.417550265789032},{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.38040778040885925},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32950717210769653},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2915008068084717},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07404035329818726},{"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/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-02882-3_15","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-02882-3_15","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":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8100000023841858}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1170181687","https://openalex.org/W1479826086","https://openalex.org/W1494775996","https://openalex.org/W1502745717","https://openalex.org/W1523567567","https://openalex.org/W1533716120","https://openalex.org/W1548963432","https://openalex.org/W1583023053","https://openalex.org/W1589034595","https://openalex.org/W1589521364","https://openalex.org/W1596682587","https://openalex.org/W1603031068","https://openalex.org/W1798609567","https://openalex.org/W1847217253","https://openalex.org/W1965163152","https://openalex.org/W2037038460","https://openalex.org/W2052267638","https://openalex.org/W2117797270","https://openalex.org/W2137664544","https://openalex.org/W2141395382","https://openalex.org/W2152688060","https://openalex.org/W2475397807","https://openalex.org/W2477523090","https://openalex.org/W2483988241","https://openalex.org/W2485210947","https://openalex.org/W2486408843","https://openalex.org/W2488547546","https://openalex.org/W2490262601","https://openalex.org/W2493993829","https://openalex.org/W2505860479","https://openalex.org/W2506735936","https://openalex.org/W2619633776","https://openalex.org/W2770583616","https://openalex.org/W3097986274","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3173957725","https://openalex.org/W3157478331","https://openalex.org/W1566256504","https://openalex.org/W590460207","https://openalex.org/W2515685275","https://openalex.org/W3202533652","https://openalex.org/W2401604425","https://openalex.org/W1593882330","https://openalex.org/W1573438263","https://openalex.org/W1582366923"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}