{"id":"https://openalex.org/W2802967788","doi":"https://doi.org/10.1109/access.2018.2827203","title":"A Secure Cryptocurrency Scheme Based on Post-Quantum Blockchain","display_name":"A Secure Cryptocurrency Scheme Based on Post-Quantum Blockchain","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2802967788","doi":"https://doi.org/10.1109/access.2018.2827203","mag":"2802967788"},"language":"en","primary_location":{"id":"doi:10.1109/access.2018.2827203","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2827203","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.1109/access.2018.2827203","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5083259548","display_name":"Gao Yu-long","orcid":"https://orcid.org/0000-0001-7202-5264"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu-Long Gao","raw_affiliation_strings":["Beijing University of Posts and Telecommunications, Beijing, Beijing, CN","ORCiD","State Key Laboratory of Networking and Switching Technology, Information Security Center, Beijing University of Posts and Telecommunications, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0001-7202-5264","affiliations":[{"raw_affiliation_string":"Beijing University of Posts and Telecommunications, Beijing, Beijing, CN","institution_ids":["https://openalex.org/I139759216"]},{"raw_affiliation_string":"ORCiD","institution_ids":[]},{"raw_affiliation_string":"State Key Laboratory of Networking and Switching Technology, Information Security Center, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005902299","display_name":"Xiu\u2010Bo Chen","orcid":"https://orcid.org/0000-0002-9761-3414"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiu-Bo Chen","raw_affiliation_strings":["Beijing University of Posts and Telecommunications, Beijing, Beijing, CN","State Key Laboratory of Networking and Switching Technology, Information Security Center, Beijing University of Posts and Telecommunications, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing University of Posts and Telecommunications, Beijing, Beijing, CN","institution_ids":["https://openalex.org/I139759216"]},{"raw_affiliation_string":"State Key Laboratory of Networking and Switching Technology, Information Security Center, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100722817","display_name":"Yuling Chen","orcid":"https://orcid.org/0000-0002-8674-8356"},"institutions":[{"id":"https://openalex.org/I178232147","display_name":"Guizhou University","ror":"https://ror.org/02wmsc916","country_code":"CN","type":"education","lineage":["https://openalex.org/I178232147"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yu-Ling Chen","raw_affiliation_strings":["Guizhou University, Guiyang, Guizhou, CN","Guizhou Provincial Key Laboratory of Public Big Data, Guizhou University, Guiyang, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Guizhou University, Guiyang, Guizhou, CN","institution_ids":["https://openalex.org/I178232147"]},{"raw_affiliation_string":"Guizhou Provincial Key Laboratory of Public Big Data, Guizhou University, Guiyang, China","institution_ids":["https://openalex.org/I178232147"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100649794","display_name":"Ying Sun","orcid":"https://orcid.org/0000-0002-7224-6726"},"institutions":[{"id":"https://openalex.org/I202334528","display_name":"Beijing Electronic Science and Technology Institute","ror":"https://ror.org/01xdzh226","country_code":"CN","type":"education","lineage":["https://openalex.org/I202334528"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ying Sun","raw_affiliation_strings":["Beijing Electronics Science and Technology Institute, Beijing, Beijing, CN","Beijing Electronic Science and Technology Institute, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing Electronics Science and Technology Institute, Beijing, Beijing, CN","institution_ids":["https://openalex.org/I202334528"]},{"raw_affiliation_string":"Beijing Electronic Science and Technology Institute, Beijing, China","institution_ids":["https://openalex.org/I202334528"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5103099146","display_name":"Xinxin Niu","orcid":"https://orcid.org/0000-0002-8143-0189"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xin-Xin Niu","raw_affiliation_strings":["Beijing University of Posts and Telecommunications, Beijing, Beijing, CN","State Key Laboratory of Networking and Switching Technology, Information Security Center, Beijing University of Posts and Telecommunications, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing University of Posts and Telecommunications, Beijing, Beijing, CN","institution_ids":["https://openalex.org/I139759216"]},{"raw_affiliation_string":"State Key Laboratory of Networking and Switching Technology, Information Security Center, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071134614","display_name":"Yixian Yang","orcid":"https://orcid.org/0000-0001-8067-4774"},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi-Xian Yang","raw_affiliation_strings":["Beijing University of Posts and Telecommunications, Beijing, Beijing, CN","State Key Laboratory of Networking and Switching Technology, Information Security Center, Beijing University of Posts and Telecommunications, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Beijing University of Posts and Telecommunications, Beijing, Beijing, CN","institution_ids":["https://openalex.org/I139759216"]},{"raw_affiliation_string":"State Key Laboratory of Networking and Switching Technology, Information Security Center, Beijing University of Posts and Telecommunications, Beijing, China","institution_ids":["https://openalex.org/I139759216"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":1850,"currency":"USD","value_usd":1850},"apc_paid":{"value":1850,"currency":"USD","value_usd":1850},"fwci":13.5824,"has_fulltext":false,"cited_by_count":189,"citation_normalized_percentile":{"value":0.98944515,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"6","issue":null,"first_page":"27205","last_page":"27213"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9995999932289124,"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":0.9995999932289124,"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/T10270","display_name":"Blockchain Technology Applications and Security","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T11614","display_name":"Cloud Data Security Solutions","score":0.9779999852180481,"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/cryptocurrency","display_name":"Cryptocurrency","score":0.7231294512748718},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7143594026565552},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5298136472702026},{"id":"https://openalex.org/keywords/merkle-signature-scheme","display_name":"Merkle signature scheme","score":0.5070235729217529},{"id":"https://openalex.org/keywords/blockchain","display_name":"Blockchain","score":0.49961066246032715},{"id":"https://openalex.org/keywords/ring-signature","display_name":"Ring signature","score":0.4842800498008728},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.47440242767333984},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.46870583295822144},{"id":"https://openalex.org/keywords/quantum-computer","display_name":"Quantum computer","score":0.46678173542022705},{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.45421090722084045},{"id":"https://openalex.org/keywords/random-oracle","display_name":"Random oracle","score":0.4351913630962372},{"id":"https://openalex.org/keywords/security-analysis","display_name":"Security analysis","score":0.4273313879966736},{"id":"https://openalex.org/keywords/digital-signature","display_name":"Digital signature","score":0.3904399871826172},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.3371430039405823},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.31804442405700684},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.31262388825416565},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.2759098410606384},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2547241747379303},{"id":"https://openalex.org/keywords/blind-signature","display_name":"Blind signature","score":0.2180980145931244},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.07839515805244446}],"concepts":[{"id":"https://openalex.org/C180706569","wikidata":"https://www.wikidata.org/wiki/Q13479982","display_name":"Cryptocurrency","level":2,"score":0.7231294512748718},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7143594026565552},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5298136472702026},{"id":"https://openalex.org/C40404285","wikidata":"https://www.wikidata.org/wiki/Q1921816","display_name":"Merkle signature scheme","level":5,"score":0.5070235729217529},{"id":"https://openalex.org/C2779687700","wikidata":"https://www.wikidata.org/wiki/Q20514253","display_name":"Blockchain","level":2,"score":0.49961066246032715},{"id":"https://openalex.org/C168941894","wikidata":"https://www.wikidata.org/wiki/Q3483645","display_name":"Ring signature","level":4,"score":0.4842800498008728},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.47440242767333984},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.46870583295822144},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.46678173542022705},{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.45421090722084045},{"id":"https://openalex.org/C94284585","wikidata":"https://www.wikidata.org/wiki/Q228184","display_name":"Random oracle","level":4,"score":0.4351913630962372},{"id":"https://openalex.org/C38369872","wikidata":"https://www.wikidata.org/wiki/Q7445009","display_name":"Security analysis","level":2,"score":0.4273313879966736},{"id":"https://openalex.org/C118463975","wikidata":"https://www.wikidata.org/wiki/Q220849","display_name":"Digital signature","level":3,"score":0.3904399871826172},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.3371430039405823},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.31804442405700684},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.31262388825416565},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.2759098410606384},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2547241747379303},{"id":"https://openalex.org/C18899389","wikidata":"https://www.wikidata.org/wiki/Q2736593","display_name":"Blind signature","level":4,"score":0.2180980145931244},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.07839515805244446},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/access.2018.2827203","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2827203","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:cdc1d6e3e73e408b9ca44826ec38227c","is_oa":true,"landing_page_url":"https://doaj.org/article/cdc1d6e3e73e408b9ca44826ec38227c","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","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":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IEEE Access, Vol 6, Pp 27205-27213 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1109/access.2018.2827203","is_oa":true,"landing_page_url":"https://doi.org/10.1109/access.2018.2827203","pdf_url":null,"source":{"id":"https://openalex.org/S2485537415","display_name":"IEEE Access","issn_l":"2169-3536","issn":["2169-3536"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Access","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1746269767","display_name":"\u91cf\u5b50\u591a\u65b9\u4fdd\u5bc6\u901a\u4fe1\u534f\u8bae\u7684\u7814\u7a76","funder_award_id":"61003287","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3660487942","display_name":"\u91cf\u5b50\u7f51\u7edc\u7f16\u7801\u7406\u8bba\u53ca\u5176\u5e94\u7528\u7814\u7a76","funder_award_id":"61272514","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G414831624","display_name":null,"funder_award_id":"131067","funder_id":"https://openalex.org/F4320334945","funder_display_name":"Fok Ying Tong Education Foundation"},{"id":"https://openalex.org/G4619491111","display_name":null,"funder_award_id":"20183001","funder_id":"https://openalex.org/F4320322272","funder_display_name":"Guizhou Science and Technology Department"},{"id":"https://openalex.org/G7263028968","display_name":"\u57fa\u4e8e\u91cf\u5b50\u5bc6\u7801\u901a\u4fe1\u7684\u65b0\u578b\u91cf\u5b50\u4fe1\u606f\u9690\u85cf\u534f\u8bae\u7684\u7814\u7a76","funder_award_id":"61170272","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8195125469","display_name":"\u57fa\u4e8e\u6d4b\u91cf\u7684\u91cf\u5b50\u7f51\u7edc\u7f16\u7801\u5173\u952e\u7406\u8bba\u7814\u7a76","funder_award_id":"61671087","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322272","display_name":"Guizhou Science and Technology Department","ror":"https://ror.org/00kwnh405"},{"id":"https://openalex.org/F4320334945","display_name":"Fok Ying Tong Education Foundation","ror":"https://ror.org/01mv9t934"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W149470655","https://openalex.org/W1530870614","https://openalex.org/W1537360597","https://openalex.org/W1559136758","https://openalex.org/W1566178831","https://openalex.org/W1576411270","https://openalex.org/W1598269861","https://openalex.org/W1761303171","https://openalex.org/W1839785783","https://openalex.org/W1983370494","https://openalex.org/W1994790157","https://openalex.org/W2023217243","https://openalex.org/W2038761522","https://openalex.org/W2057248704","https://openalex.org/W2099739670","https://openalex.org/W2117294252","https://openalex.org/W2168676717","https://openalex.org/W2169194339","https://openalex.org/W2312594896","https://openalex.org/W2316775094","https://openalex.org/W2343785519","https://openalex.org/W2392113277","https://openalex.org/W2398216446","https://openalex.org/W2514568383","https://openalex.org/W2587173351","https://openalex.org/W2618795523","https://openalex.org/W2747925685","https://openalex.org/W2759600173","https://openalex.org/W2764198340","https://openalex.org/W2766749922","https://openalex.org/W2771087690","https://openalex.org/W2786885474","https://openalex.org/W4248175462","https://openalex.org/W6605963903"],"related_works":["https://openalex.org/W140041957","https://openalex.org/W2949198936","https://openalex.org/W2401117144","https://openalex.org/W4311916128","https://openalex.org/W2292604118","https://openalex.org/W2352317746","https://openalex.org/W2388209206","https://openalex.org/W2375435031","https://openalex.org/W1652538318","https://openalex.org/W2407614215"],"abstract_inverted_index":{"Nowadays,":[0],"blockchain":[1,47],"has":[2,11],"become":[3],"one":[4],"of":[5,26,45,194,204],"the":[6,18,24,43,100,117,120,123,128,136,149,161,169,182,192,209],"most":[7],"cutting-edge":[8],"technologies,":[9],"which":[10,58,107,206],"been":[12],"widely":[13],"concerned":[14],"and":[15,28,49,89,102,122,138,173,178,196,219],"researched.":[16],"However,":[17],"quantum":[19,61,170],"computing":[20,62,171],"attack":[21,172],"seriously":[22],"threatens":[23],"security":[25,144],"blockchain,":[27,133],"related":[29],"research":[30],"is":[31,113,165],"still":[32],"less.":[33],"Targeting":[34],"at":[35],"this":[36,39,140],"issue,":[37],"in":[38,104],"paper,":[40],"we":[41,65,98,134],"present":[42],"definition":[44],"post-quantum":[46],"(PQB)":[48],"propose":[50,66,139],"a":[51,67,86],"secure":[52,218],"cryptocurrency":[53,141,163,215],"scheme":[54,69,131,164,216],"based":[55,70],"on":[56,71],"PQB,":[57],"can":[59,145,207],"resist":[60,168],"attacks.":[63],"First,":[64],"signature":[68,130,175,190,195],"lattice":[72,76,150,183],"problem.":[73,155],"We":[74],"use":[75],"basis":[77],"delegation":[78],"algorithm":[79],"to":[80,115,148,167],"generate":[81],"secret":[82,197],"keys":[83,198],"with":[84,132,188],"selecting":[85],"random":[87],"value,":[88],"sign":[90],"message":[91,121],"by":[92,126],"preimage":[93],"sampling":[94],"algorithm.":[95],"In":[96],"addition,":[97],"design":[99],"first-signature":[101],"last-signature":[103],"our":[105,159,214],"scheme,":[106],"are":[108,199],"defined":[109],"as":[110],"double-signature.":[111],"It":[112],"used":[114],"reduce":[116],"correlation":[118],"between":[119],"signature.":[124],"Second,":[125],"combining":[127],"proposed":[129,162],"construct":[135],"PQB":[137],"scheme.":[142],"Its":[143],"be":[146],"reduced":[147],"short":[151],"integer":[152],"solution":[153],"(SIS)":[154],"At":[156],"last,":[157],"through":[158],"analysis,":[160],"able":[166],"its":[174],"satisfies":[176],"correctness":[177],"one-more":[179],"unforgeability":[180],"under":[181],"SIS":[184],"assumption.":[185],"Furthermore,":[186],"compared":[187],"previous":[189],"schemes,":[191],"sizes":[193],"relatively":[200],"shorter":[201],"than":[202],"that":[203],"others,":[205],"decrease":[208],"computational":[210],"complexity.":[211],"These":[212],"make":[213],"more":[217],"efficient.":[220]},"counts_by_year":[{"year":2026,"cited_by_count":5},{"year":2025,"cited_by_count":19},{"year":2024,"cited_by_count":23},{"year":2023,"cited_by_count":29},{"year":2022,"cited_by_count":30},{"year":2021,"cited_by_count":34},{"year":2020,"cited_by_count":26},{"year":2019,"cited_by_count":18},{"year":2018,"cited_by_count":5}],"updated_date":"2026-07-03T08:13:44.112507","created_date":"2025-10-10T00:00:00"}