{"id":"https://openalex.org/W4414443359","doi":"https://doi.org/10.1007/s11128-025-04919-y","title":"Quantum (t,\u00a0n) threshold signature based on shift-code operation and Lagrange unitary operation","display_name":"Quantum (t,\u00a0n) threshold signature based on shift-code operation and Lagrange unitary operation","publication_year":2025,"publication_date":"2025-09-23","ids":{"openalex":"https://openalex.org/W4414443359","doi":"https://doi.org/10.1007/s11128-025-04919-y"},"language":"en","primary_location":{"id":"doi:10.1007/s11128-025-04919-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-025-04919-y","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","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/A5101638718","display_name":"Yaodong Zhang","orcid":"https://orcid.org/0009-0007-0528-7249"},"institutions":[{"id":"https://openalex.org/I4210121261","display_name":"Binzhou People's Hospital","ror":"https://ror.org/01y8cpr39","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210121261"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yaodong Zhang","raw_affiliation_strings":["Office of Scientific Research, Binzhou Polytechnic, Pengli Street, Binzhou, 256603, Shandong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Office of Scientific Research, Binzhou Polytechnic, Pengli Street, Binzhou, 256603, Shandong, China","institution_ids":["https://openalex.org/I4210121261"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5007853886","display_name":"Feng Liu","orcid":"https://orcid.org/0000-0003-1716-3968"},"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":"Feng Liu","raw_affiliation_strings":["College of Mathematic and Information Science, Shandong Technology and Business University, Binhai Middle Road, Yantai, 264005, Shandong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematic and Information Science, Shandong Technology and Business University, Binhai Middle Road, Yantai, 264005, Shandong, China","institution_ids":["https://openalex.org/I83776822"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026979852","display_name":"Kehu Yang","orcid":"https://orcid.org/0000-0001-9163-2713"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Keshun Yang","raw_affiliation_strings":["College of Liberal Arts and Sciences, University of Illinois Urbana-Champaign, Wright Street, Champaign-Urbana, Illinois, 61801, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Liberal Arts and Sciences, University of Illinois Urbana-Champaign, Wright Street, Champaign-Urbana, Illinois, 61801, USA","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101683585","display_name":"Ning Liu","orcid":"https://orcid.org/0000-0002-6204-1313"},"institutions":[{"id":"https://openalex.org/I4210121261","display_name":"Binzhou People's Hospital","ror":"https://ror.org/01y8cpr39","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210121261"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ning Liu","raw_affiliation_strings":["Office of Scientific Research, Binzhou Polytechnic, Pengli Street, Binzhou, 256603, Shandong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Office of Scientific Research, Binzhou Polytechnic, Pengli Street, Binzhou, 256603, Shandong, China","institution_ids":["https://openalex.org/I4210121261"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022517515","display_name":"Lijian Zhang","orcid":"https://orcid.org/0000-0002-3247-9189"},"institutions":[{"id":"https://openalex.org/I4210121261","display_name":"Binzhou People's Hospital","ror":"https://ror.org/01y8cpr39","country_code":"CN","type":"healthcare","lineage":["https://openalex.org/I4210121261"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lijian Zhang","raw_affiliation_strings":["Office of Scientific Research, Binzhou Polytechnic, Pengli Street, Binzhou, 256603, Shandong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Office of Scientific Research, Binzhou Polytechnic, Pengli Street, Binzhou, 256603, Shandong, China","institution_ids":["https://openalex.org/I4210121261"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5101638718"],"corresponding_institution_ids":["https://openalex.org/I4210121261"],"apc_list":{"value":2040,"currency":"EUR","value_usd":2690},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12959077,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"10","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9994999766349792,"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9994999766349792,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.9994000196456909,"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/T11414","display_name":"Quantum optics and atomic interactions","score":0.9932000041007996,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/correctness","display_name":"Correctness","score":0.8148999810218811},{"id":"https://openalex.org/keywords/digital-signature","display_name":"Digital signature","score":0.6632999777793884},{"id":"https://openalex.org/keywords/signature","display_name":"Signature (topology)","score":0.5781000256538391},{"id":"https://openalex.org/keywords/protocol","display_name":"Protocol (science)","score":0.5375000238418579},{"id":"https://openalex.org/keywords/collusion","display_name":"Collusion","score":0.5351999998092651},{"id":"https://openalex.org/keywords/unitary-state","display_name":"Unitary state","score":0.5042999982833862},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4855000078678131},{"id":"https://openalex.org/keywords/cryptographic-protocol","display_name":"Cryptographic protocol","score":0.4580000042915344},{"id":"https://openalex.org/keywords/blind-signature","display_name":"Blind signature","score":0.4156000018119812},{"id":"https://openalex.org/keywords/quantum-cryptography","display_name":"Quantum cryptography","score":0.41130000352859497}],"concepts":[{"id":"https://openalex.org/C55439883","wikidata":"https://www.wikidata.org/wiki/Q360812","display_name":"Correctness","level":2,"score":0.8148999810218811},{"id":"https://openalex.org/C118463975","wikidata":"https://www.wikidata.org/wiki/Q220849","display_name":"Digital signature","level":3,"score":0.6632999777793884},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6000000238418579},{"id":"https://openalex.org/C2779696439","wikidata":"https://www.wikidata.org/wiki/Q7512811","display_name":"Signature (topology)","level":2,"score":0.5781000256538391},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.5375000238418579},{"id":"https://openalex.org/C2781198186","wikidata":"https://www.wikidata.org/wiki/Q701521","display_name":"Collusion","level":2,"score":0.5351999998092651},{"id":"https://openalex.org/C67820243","wikidata":"https://www.wikidata.org/wiki/Q179164","display_name":"Unitary state","level":2,"score":0.5042999982833862},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4855000078678131},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.4580000042915344},{"id":"https://openalex.org/C18899389","wikidata":"https://www.wikidata.org/wiki/Q2736593","display_name":"Blind signature","level":4,"score":0.4156000018119812},{"id":"https://openalex.org/C144901912","wikidata":"https://www.wikidata.org/wiki/Q471906","display_name":"Quantum cryptography","level":4,"score":0.41130000352859497},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.4106000065803528},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4081999957561493},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.38420000672340393},{"id":"https://openalex.org/C38369872","wikidata":"https://www.wikidata.org/wiki/Q7445009","display_name":"Security analysis","level":2,"score":0.37709999084472656},{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.36910000443458557},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36039999127388},{"id":"https://openalex.org/C58053490","wikidata":"https://www.wikidata.org/wiki/Q176555","display_name":"Quantum computer","level":3,"score":0.3594000041484833},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.35010001063346863},{"id":"https://openalex.org/C168941894","wikidata":"https://www.wikidata.org/wiki/Q3483645","display_name":"Ring signature","level":4,"score":0.32710000872612},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.32429999113082886},{"id":"https://openalex.org/C2779795794","wikidata":"https://www.wikidata.org/wiki/Q7315343","display_name":"Reset (finance)","level":2,"score":0.31209999322891235},{"id":"https://openalex.org/C99221444","wikidata":"https://www.wikidata.org/wiki/Q1532069","display_name":"Private information retrieval","level":2,"score":0.3077999949455261},{"id":"https://openalex.org/C169699857","wikidata":"https://www.wikidata.org/wiki/Q2122243","display_name":"Quantum information","level":3,"score":0.3027999997138977},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.29030001163482666},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.28999999165534973},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2896000146865845},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2856000065803528},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2833999991416931},{"id":"https://openalex.org/C179371143","wikidata":"https://www.wikidata.org/wiki/Q2495534","display_name":"Unitary transformation","level":3,"score":0.27300000190734863},{"id":"https://openalex.org/C15927051","wikidata":"https://www.wikidata.org/wiki/Q246593","display_name":"Cryptographic primitive","level":4,"score":0.26899999380111694},{"id":"https://openalex.org/C2776711565","wikidata":"https://www.wikidata.org/wiki/Q7445058","display_name":"Security parameter","level":3,"score":0.26750001311302185},{"id":"https://openalex.org/C761482","wikidata":"https://www.wikidata.org/wiki/Q118093","display_name":"Transmission (telecommunications)","level":2,"score":0.2517000138759613}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11128-025-04919-y","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s11128-025-04919-y","pdf_url":null,"source":{"id":"https://openalex.org/S92819544","display_name":"Quantum Information Processing","issn_l":"1570-0755","issn":["1570-0755","1573-1332"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Quantum Information Processing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G8508323358","display_name":"\u91cf\u5b50\u76f8\u5e72\u8d44\u6e90\u7406\u8bba\u53ca\u5e94\u7528\u7814\u7a76","funder_award_id":"61771294","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W174706587","https://openalex.org/W1513904472","https://openalex.org/W1522597308","https://openalex.org/W1600010237","https://openalex.org/W1967766750","https://openalex.org/W2000855199","https://openalex.org/W2041903844","https://openalex.org/W2043414726","https://openalex.org/W2076965705","https://openalex.org/W2081757590","https://openalex.org/W2138433952","https://openalex.org/W2139333377","https://openalex.org/W2141420453","https://openalex.org/W2152924492","https://openalex.org/W2156186849","https://openalex.org/W2178576540","https://openalex.org/W2468121714","https://openalex.org/W2764347725","https://openalex.org/W2997867488","https://openalex.org/W3025969725","https://openalex.org/W3038067977","https://openalex.org/W3197717973","https://openalex.org/W4212947936","https://openalex.org/W4313295923","https://openalex.org/W4388442365","https://openalex.org/W4394977766"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}