{"id":"https://openalex.org/W4409014058","doi":"https://doi.org/10.1109/tit.2025.3556433","title":"New MRA Schemes Based on the CRT for Polynomial Rings","display_name":"New MRA Schemes Based on the CRT for Polynomial Rings","publication_year":2025,"publication_date":"2025-03-31","ids":{"openalex":"https://openalex.org/W4409014058","doi":"https://doi.org/10.1109/tit.2025.3556433"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2025.3556433","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3556433","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017505207","display_name":"Jing Yang","orcid":"https://orcid.org/0000-0001-9965-6429"},"institutions":[{"id":"https://openalex.org/I83776822","display_name":"Shandong Institute of Business and Technology","ror":"https://ror.org/03rrkrc24","country_code":"CN","type":"education","lineage":["https://openalex.org/I83776822"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Yang","raw_affiliation_strings":["School of Computer Science and Technology, Shandong Technology and Business University, Yantai, Shandong, China"],"raw_orcid":"https://orcid.org/0000-0001-9965-6429","affiliations":[{"raw_affiliation_string":"School of Computer Science and Technology, Shandong Technology and Business University, Yantai, Shandong, China","institution_ids":["https://openalex.org/I83776822"]}]},{"author_position":"middle","author":{"id":null,"display_name":"Xianfang Wang","orcid":"https://orcid.org/0000-0003-0998-0140"},"institutions":[{"id":"https://openalex.org/I4210132990","display_name":"State Key Laboratory of Cryptology","ror":"https://ror.org/02pn5rj08","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210132990"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xianfang Wang","raw_affiliation_strings":["Westone Cryptologic Research Center, CETC Cyberspace Security Technology Company Ltd., Beijing, China","Westone Cryptologic Research Center, CETC Cyberspace Security Technology Co., Ltd, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0003-0998-0140","affiliations":[{"raw_affiliation_string":"Westone Cryptologic Research Center, CETC Cyberspace Security Technology Company Ltd., Beijing, China","institution_ids":["https://openalex.org/I4210132990"]},{"raw_affiliation_string":"Westone Cryptologic Research Center, CETC Cyberspace Security Technology Co., Ltd, Beijing, China","institution_ids":["https://openalex.org/I4210132990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5025303981","display_name":"Can Xiang","orcid":"https://orcid.org/0000-0003-1929-9658"},"institutions":[{"id":"https://openalex.org/I101479585","display_name":"South China Agricultural University","ror":"https://ror.org/05v9jqt67","country_code":"CN","type":"education","lineage":["https://openalex.org/I101479585"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Can Xiang","raw_affiliation_strings":["College of Mathematics and Informatics, South China Agricultural University, Guangzhou, Guangdong, China"],"raw_orcid":"https://orcid.org/0000-0003-1929-9658","affiliations":[{"raw_affiliation_string":"College of Mathematics and Informatics, South China Agricultural University, Guangzhou, Guangdong, China","institution_ids":["https://openalex.org/I101479585"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063946169","display_name":"Fang\u2010Wei Fu","orcid":"https://orcid.org/0000-0002-9696-8977"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fang-Wei Fu","raw_affiliation_strings":["Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, China"],"raw_orcid":"https://orcid.org/0000-0002-9696-8977","affiliations":[{"raw_affiliation_string":"Chern Institute of Mathematics and LPMC, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034104790","display_name":"Shu\u2010Tao Xia","orcid":"https://orcid.org/0000-0002-8639-982X"},"institutions":[{"id":"https://openalex.org/I4210114105","display_name":"Tsinghua\u2013Berkeley Shenzhen Institute","ror":"https://ror.org/02hhwwz98","country_code":"CN","type":"facility","lineage":["https://openalex.org/I4210114105","https://openalex.org/I95457486","https://openalex.org/I99065089"]},{"id":"https://openalex.org/I99065089","display_name":"Tsinghua University","ror":"https://ror.org/03cve4549","country_code":"CN","type":"education","lineage":["https://openalex.org/I99065089"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shu-Tao Xia","raw_affiliation_strings":["Tsinghua Shenzhen International Graduate School, Tsinghua University, Shenzhen, Guangdong, China"],"raw_orcid":"https://orcid.org/0000-0002-8639-982X","affiliations":[{"raw_affiliation_string":"Tsinghua Shenzhen International Graduate School, Tsinghua University, Shenzhen, Guangdong, China","institution_ids":["https://openalex.org/I4210114105","https://openalex.org/I99065089"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06044996,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"71","issue":"6","first_page":"4671","last_page":"4685"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9487000107765198,"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"}},"topics":[{"id":"https://openalex.org/T10792","display_name":"Matrix Theory and Algorithms","score":0.9487000107765198,"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9165999889373779,"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/T11210","display_name":"Mathematical Analysis and Transform Methods","score":0.9158999919891357,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4745294153690338},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4501188397407532},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4367743134498596},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3548417091369629},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34040170907974243},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09020102024078369}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4745294153690338},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4501188397407532},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4367743134498596},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3548417091369629},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34040170907974243},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09020102024078369}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2025.3556433","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2025.3556433","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2802018518","display_name":null,"funder_award_id":"62171248","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5391343269","display_name":null,"funder_award_id":"No. 2022YFA1005000","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G5563798569","display_name":null,"funder_award_id":"12141108","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7310567866","display_name":null,"funder_award_id":"Nos. 12141108, 62371259, and 62171248","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8461867122","display_name":null,"funder_award_id":"62371259","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/F4320329998","display_name":"Nankai Zhide Foundation","ror":null},{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1489881816","https://openalex.org/W1573612917","https://openalex.org/W2006893608","https://openalex.org/W2035576590","https://openalex.org/W2039140951","https://openalex.org/W2133062571","https://openalex.org/W2141420453","https://openalex.org/W2164728083","https://openalex.org/W2353168577","https://openalex.org/W2528302832","https://openalex.org/W2898356255","https://openalex.org/W2970105493","https://openalex.org/W2999008158","https://openalex.org/W4212797854","https://openalex.org/W4252614677","https://openalex.org/W6630839025","https://openalex.org/W7006303533"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596"],"abstract_inverted_index":{"At":[0],"present,":[1],"existing":[2],"multi-receiver":[3],"authentication":[4],"(MRA)":[5],"schemes":[6,19,72,104,109,131],"can":[7,132],"only":[8],"handle":[9],"situations":[10],"where":[11,54],"the":[12,18,21,40,46,58,77,106,118,123,129,138,166],"capacities":[13,113],"of":[14,68,137],"all":[15],"receivers":[16,27,116],"in":[17,24,141],"are":[20,105],"same.":[22],"However,":[23],"reality,":[25],"different":[26,32,61,111,115],"may":[28],"need":[29],"to":[30],"have":[31],"storage":[33,112],"capacities.":[34],"In":[35,145],"this":[36],"paper,":[37],"inspired":[38],"by":[39],"secret":[41],"sharing":[42],"scheme":[43,140],"based":[44,121],"on":[45,122],"Chinese":[47],"Remainder":[48],"Theorem":[49],"(CRT)":[50],"for":[51,73,79,114,125,148],"polynomial":[52,80,126],"rings":[53],"each":[55],"participant":[56],"holds":[57],"share":[59],"with":[60,110],"sizes,":[62],"we":[63,99],"propose":[64],"three":[65],"new":[66],"constructions":[67],"unconditionally":[69],"secure":[70],"MRA":[71,84,88,94,103,108,139,152,170],"multiple":[74],"messages":[75],"using":[76],"CRT":[78,124],"rings,":[81],"including":[82],"a$(k,n)$-threshold":[83],"scheme,":[85,89,153],"a$(k,n,\\omega)$-weighted":[86],"threshold":[87],"and":[90,117,143,160],"a$(\\mathcal":[91],"{Q},\\mathcal":[92,150,168],"{F})$-general":[93,151,169],"scheme.":[95,171],"As":[96],"far":[97],"as":[98,135,147],"know,":[100],"our":[101],"proposed":[102,130],"first":[107,119],"ones":[120],"rings.":[127],"Moreover,":[128],"be":[133],"seen":[134],"extensions":[136],"Safavi-Naini":[142],"Wang.":[144],"particular,":[146],"our$(\\mathcal":[149],"it":[154],"has":[155],"generally":[156],"more":[157],"communication":[158],"complexity":[159,164],"much":[161],"less":[162],"computation":[163],"than":[165],"existing$(\\mathcal":[167]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}