{"id":"https://openalex.org/W3007043454","doi":"https://doi.org/10.1109/tit.2020.2976073","title":"Provably Secure Group Signature Schemes From Code-Based Assumptions","display_name":"Provably Secure Group Signature Schemes From Code-Based Assumptions","publication_year":2020,"publication_date":"2020-02-24","ids":{"openalex":"https://openalex.org/W3007043454","doi":"https://doi.org/10.1109/tit.2020.2976073","mag":"3007043454"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2020.2976073","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2020.2976073","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Information Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://dr.ntu.edu.sg/bitstream/10356/143454/2/codeGS_IEEE_TIT_Final.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5026666126","display_name":"Martianus Frederic Ezerman","orcid":"https://orcid.org/0000-0002-5851-2717"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Martianus Frederic Ezerman","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-5851-2717","affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016413171","display_name":"Hyung Tae Lee","orcid":"https://orcid.org/0000-0002-0920-2026"},"institutions":[{"id":"https://openalex.org/I80611190","display_name":"Jeonbuk National University","ror":"https://ror.org/05q92br09","country_code":"KR","type":"education","lineage":["https://openalex.org/I80611190"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hyung Tae Lee","raw_affiliation_strings":["Division of Computer Science and Engineering, College of Engineering, Jeonbuk National University, Jeonju, South Korea"],"raw_orcid":"https://orcid.org/0000-0002-0920-2026","affiliations":[{"raw_affiliation_string":"Division of Computer Science and Engineering, College of Engineering, Jeonbuk National University, Jeonju, South Korea","institution_ids":["https://openalex.org/I80611190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063268716","display_name":"San Ling","orcid":"https://orcid.org/0000-0002-1978-3557"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"San Ling","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-1978-3557","affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078658360","display_name":"Khoa Nguyen","orcid":"https://orcid.org/0000-0001-8555-638X"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Khoa Nguyen","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090841998","display_name":"Huaxiong Wang","orcid":"https://orcid.org/0000-0002-7669-8922"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Huaxiong Wang","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore"],"raw_orcid":"https://orcid.org/0000-0002-7669-8922","affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":2.086,"has_fulltext":true,"cited_by_count":29,"citation_normalized_percentile":{"value":0.89556822,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"66","issue":"9","first_page":"5754","last_page":"5773"},"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":0.9926000237464905,"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":0.9807999730110168,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/group-signature","display_name":"Group signature","score":0.7374243140220642},{"id":"https://openalex.org/keywords/mceliece-cryptosystem","display_name":"McEliece cryptosystem","score":0.7246159315109253},{"id":"https://openalex.org/keywords/random-oracle","display_name":"Random oracle","score":0.6505454778671265},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5826703310012817},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.5586923956871033},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.549098789691925},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5327869057655334},{"id":"https://openalex.org/keywords/anonymity","display_name":"Anonymity","score":0.46702244877815247},{"id":"https://openalex.org/keywords/schnorr-signature","display_name":"Schnorr signature","score":0.453387588262558},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.4364869296550751},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.4168703854084015},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3529399633407593},{"id":"https://openalex.org/keywords/blind-signature","display_name":"Blind signature","score":0.32465869188308716},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3243131637573242},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.24305173754692078}],"concepts":[{"id":"https://openalex.org/C148408913","wikidata":"https://www.wikidata.org/wiki/Q5611269","display_name":"Group signature","level":4,"score":0.7374243140220642},{"id":"https://openalex.org/C16935551","wikidata":"https://www.wikidata.org/wiki/Q1042583","display_name":"McEliece cryptosystem","level":4,"score":0.7246159315109253},{"id":"https://openalex.org/C94284585","wikidata":"https://www.wikidata.org/wiki/Q228184","display_name":"Random oracle","level":4,"score":0.6505454778671265},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5826703310012817},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.5586923956871033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.549098789691925},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5327869057655334},{"id":"https://openalex.org/C178005623","wikidata":"https://www.wikidata.org/wiki/Q308859","display_name":"Anonymity","level":2,"score":0.46702244877815247},{"id":"https://openalex.org/C124968333","wikidata":"https://www.wikidata.org/wiki/Q1465057","display_name":"Schnorr signature","level":5,"score":0.453387588262558},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.4364869296550751},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.4168703854084015},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3529399633407593},{"id":"https://openalex.org/C18899389","wikidata":"https://www.wikidata.org/wiki/Q2736593","display_name":"Blind signature","level":4,"score":0.32465869188308716},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3243131637573242},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.24305173754692078}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2020.2976073","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2020.2976073","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"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 Transactions on Information Theory","raw_type":"journal-article"},{"id":"pmh:oai:dr.ntu.edu.sg:10356/143454","is_oa":true,"landing_page_url":"https://hdl.handle.net/10356/143454","pdf_url":"https://dr.ntu.edu.sg/bitstream/10356/143454/2/codeGS_IEEE_TIT_Final.pdf","source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"}],"best_oa_location":{"id":"pmh:oai:dr.ntu.edu.sg:10356/143454","is_oa":true,"landing_page_url":"https://hdl.handle.net/10356/143454","pdf_url":"https://dr.ntu.edu.sg/bitstream/10356/143454/2/codeGS_IEEE_TIT_Final.pdf","source":{"id":"https://openalex.org/S4306402609","display_name":"DR-NTU (Nanyang Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I172675005","host_organization_name":"Nanyang Technological University","host_organization_lineage":["https://openalex.org/I172675005"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal Article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5179995724","display_name":null,"funder_award_id":"MOE2016-T2-2-014(S)","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"},{"id":"https://openalex.org/G7213024625","display_name":null,"funder_award_id":"MOE2013-T2-1-041","funder_id":"https://openalex.org/F4320320751","funder_display_name":"Ministry of Education - Singapore"},{"id":"https://openalex.org/G7845695154","display_name":null,"funder_award_id":"NRF-2018R1C1B6008476","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320320709","display_name":"National Research Foundation Singapore","ror":"https://ror.org/03cpyc314"},{"id":"https://openalex.org/F4320320751","display_name":"Ministry of Education - Singapore","ror":"https://ror.org/01kcva023"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"},{"id":"https://openalex.org/F4320328359","display_name":"Ministry of Science and ICT, South Korea","ror":"https://ror.org/01wpjm123"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3007043454.pdf","grobid_xml":"https://content.openalex.org/works/W3007043454.grobid-xml"},"referenced_works_count":92,"referenced_works":["https://openalex.org/W24111845","https://openalex.org/W47417907","https://openalex.org/W72398006","https://openalex.org/W88486836","https://openalex.org/W110088396","https://openalex.org/W139987668","https://openalex.org/W147565578","https://openalex.org/W157159099","https://openalex.org/W175190976","https://openalex.org/W345037154","https://openalex.org/W1479860068","https://openalex.org/W1480477462","https://openalex.org/W1486198410","https://openalex.org/W1495716978","https://openalex.org/W1496914902","https://openalex.org/W1499766499","https://openalex.org/W1506139516","https://openalex.org/W1530039015","https://openalex.org/W1546682639","https://openalex.org/W1574149717","https://openalex.org/W1589034595","https://openalex.org/W1595415026","https://openalex.org/W1752323684","https://openalex.org/W1871467407","https://openalex.org/W1897146492","https://openalex.org/W1961257075","https://openalex.org/W1969297838","https://openalex.org/W1987987792","https://openalex.org/W2001841415","https://openalex.org/W2015862444","https://openalex.org/W2035929826","https://openalex.org/W2038761522","https://openalex.org/W2073210531","https://openalex.org/W2089957637","https://openalex.org/W2100460660","https://openalex.org/W2113393538","https://openalex.org/W2115449601","https://openalex.org/W2129193120","https://openalex.org/W2129483619","https://openalex.org/W2129725231","https://openalex.org/W2133270269","https://openalex.org/W2135656098","https://openalex.org/W2136772235","https://openalex.org/W2137147061","https://openalex.org/W2137648527","https://openalex.org/W2139512969","https://openalex.org/W2159339434","https://openalex.org/W2163614799","https://openalex.org/W2168558706","https://openalex.org/W2172174332","https://openalex.org/W2180059702","https://openalex.org/W2187605023","https://openalex.org/W2212077392","https://openalex.org/W2254971601","https://openalex.org/W2399359066","https://openalex.org/W2470757336","https://openalex.org/W2524824762","https://openalex.org/W2552176082","https://openalex.org/W2625890935","https://openalex.org/W2749266030","https://openalex.org/W2789463928","https://openalex.org/W2795675370","https://openalex.org/W2806099183","https://openalex.org/W2890695144","https://openalex.org/W2911424200","https://openalex.org/W2952447102","https://openalex.org/W2986959318","https://openalex.org/W2989770977","https://openalex.org/W3029107115","https://openalex.org/W3172550433","https://openalex.org/W4205092462","https://openalex.org/W4236963012","https://openalex.org/W6602974000","https://openalex.org/W6603602892","https://openalex.org/W6606012425","https://openalex.org/W6611686706","https://openalex.org/W6629114587","https://openalex.org/W6629728171","https://openalex.org/W6635298198","https://openalex.org/W6639363355","https://openalex.org/W6677424401","https://openalex.org/W6679135770","https://openalex.org/W6679431371","https://openalex.org/W6684251578","https://openalex.org/W6688218289","https://openalex.org/W6712530940","https://openalex.org/W6739386828","https://openalex.org/W6748865929","https://openalex.org/W6770380337","https://openalex.org/W6777757084","https://openalex.org/W6797158879","https://openalex.org/W6999281493"],"related_works":["https://openalex.org/W1565842368","https://openalex.org/W2584075666","https://openalex.org/W1500902146","https://openalex.org/W2380360916","https://openalex.org/W2364627624","https://openalex.org/W2373455563","https://openalex.org/W2127939186","https://openalex.org/W2365660779","https://openalex.org/W4234964945","https://openalex.org/W2353324619"],"abstract_inverted_index":{"We":[0,98],"solve":[1],"an":[2],"open":[3],"question":[4],"in":[5,28,116,137,151],"code-based":[6,17],"cryptography":[7],"by":[8,128],"introducing":[9],"two":[10,123,132],"provably":[11,142],"secure":[12,143],"group":[13,65,78],"signature":[14,60,66,145],"schemes":[15,67,125,133],"from":[16,68,180],"assumptions.":[18],"Our":[19,131],"basic":[20,101],"scheme":[21,102],"satisfies":[22],"the":[23,29,34,37,40,50,63,73,76,92,96,100,106,135,148,167,181],"CPA-anonymity":[24],"and":[25,46,59,171],"traceability":[26],"requirements":[27],"random":[30],"oracle":[31],"model,":[32],"assuming":[33],"hardness":[35],"of":[36,49,75,95,118,122,141,156],"McEliece":[38,169],"problem,":[39,45],"Learning":[41],"Parity":[42],"with":[43,112],"Noise":[44],"a":[47,113,161,172],"variant":[48],"Syndrome":[51,182],"Decoding":[52,183],"problem.":[53,184],"The":[54,120],"construction":[55],"produces":[56],"smaller":[57],"key":[58],"sizes":[61],"than":[62],"previous":[64],"lattices,":[69],"as":[70,72],"long":[71],"cardinality":[74],"underlying":[77],"does":[79],"not":[80],"exceed":[81],"2":[82],"<sup":[83],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[84],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">24</sup>":[85],",":[86],"which":[87],"is":[88,126],"roughly":[89],"comparable":[90],"to":[91,104,175],"current":[93],"population":[94],"Netherlands.":[97],"develop":[99],"further":[103],"achieve":[105],"strongest":[107],"anonymity":[108],"notion,":[109],"i.e.,":[110],"CCA-anonymity,":[111],"small":[114],"overhead":[115],"terms":[117],"efficiency.":[119],"feasibility":[121],"proposed":[124],"supported":[127],"implementation":[129],"results.":[130],"are":[134,160],"first":[136],"their":[138],"respective":[139],"classes":[140],"groups":[144],"schemes.":[146],"Additionally,":[147],"techniques":[149],"introduced":[150],"this":[152],"work":[153],"might":[154],"be":[155],"independent":[157],"interest.":[158],"These":[159],"new":[162],"verifiable":[163],"encryption":[164,170],"protocol":[165],"for":[166],"randomized":[168],"novel":[173],"approach":[174],"design":[176],"formal":[177],"security":[178],"reductions":[179]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
