{"id":"https://openalex.org/W2809573735","doi":"https://doi.org/10.1007/978-3-319-93563-8_5","title":"An Improved Algorithm to Solve the Systems of Univariate Modular Equations","display_name":"An Improved Algorithm to Solve the Systems of Univariate Modular Equations","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2809573735","doi":"https://doi.org/10.1007/978-3-319-93563-8_5","mag":"2809573735"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-93563-8_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-93563-8_5","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":"conference-paper","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/A5035238307","display_name":"Jingguo Bi","orcid":"https://orcid.org/0000-0002-6727-5485"},"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"]},{"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":"Jingguo Bi","raw_affiliation_strings":["Institute for Advanced Study, Tsinghua University, Beijing, 100084, China","State Key Laboratory of Cryptology, P. O. Box 5159, Beijing, 100878, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute for Advanced Study, Tsinghua University, Beijing, 100084, China","institution_ids":["https://openalex.org/I99065089"]},{"raw_affiliation_string":"State Key Laboratory of Cryptology, P. O. Box 5159, Beijing, 100878, China","institution_ids":["https://openalex.org/I4210132990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101406686","display_name":"Mingqiang Wang","orcid":"https://orcid.org/0000-0001-9807-3643"},"institutions":[{"id":"https://openalex.org/I154099455","display_name":"Shandong University","ror":"https://ror.org/0207yh398","country_code":"CN","type":"education","lineage":["https://openalex.org/I154099455"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Mingqiang Wang","raw_affiliation_strings":["School of Mathematics, Shandong University, Jinan, 250100, People\u2019s Republic of China","School of Mathematics, Shandong University, Jinan, 250100, People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, 250100, People\u2019s Republic of China","institution_ids":["https://openalex.org/I154099455"]},{"raw_affiliation_string":"School of Mathematics, Shandong University, Jinan, 250100, People's Republic of China","institution_ids":["https://openalex.org/I154099455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100323773","display_name":"Wei Wei","orcid":"https://orcid.org/0000-0002-8751-9205"},"institutions":[{"id":"https://openalex.org/I4210160629","display_name":"China Information Technology Security Evaluation Center","ror":"https://ror.org/053cexp66","country_code":"CN","type":"government","lineage":["https://openalex.org/I4210160629"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Wei Wei","raw_affiliation_strings":["China Information Technology Security Evaluation Center, Beijing, 10085, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"China Information Technology Security Evaluation Center, Beijing, 10085, China","institution_ids":["https://openalex.org/I4210160629"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5101406686"],"corresponding_institution_ids":["https://openalex.org/I154099455"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.07224251,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"51","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9994000196456909,"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/T10237","display_name":"Cryptography and Data Security","score":0.9986000061035156,"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/T10061","display_name":"Algebraic Geometry and Number Theory","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/prime","display_name":"Prime (order theory)","score":0.686805248260498},{"id":"https://openalex.org/keywords/univariate","display_name":"Univariate","score":0.62921142578125},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.599215567111969},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.5727866888046265},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5496757626533508},{"id":"https://openalex.org/keywords/modular-design","display_name":"Modular design","score":0.5225464701652527},{"id":"https://openalex.org/keywords/transformation","display_name":"Transformation (genetics)","score":0.49547111988067627},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4788927137851715},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.41188085079193115},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36946260929107666},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3560628294944763},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3315197229385376},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.23189455270767212},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08142727613449097},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06070426106452942}],"concepts":[{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.686805248260498},{"id":"https://openalex.org/C199163554","wikidata":"https://www.wikidata.org/wiki/Q1681619","display_name":"Univariate","level":3,"score":0.62921142578125},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.599215567111969},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.5727866888046265},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5496757626533508},{"id":"https://openalex.org/C101468663","wikidata":"https://www.wikidata.org/wiki/Q1620158","display_name":"Modular design","level":2,"score":0.5225464701652527},{"id":"https://openalex.org/C204241405","wikidata":"https://www.wikidata.org/wiki/Q461499","display_name":"Transformation (genetics)","level":3,"score":0.49547111988067627},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4788927137851715},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.41188085079193115},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36946260929107666},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3560628294944763},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3315197229385376},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.23189455270767212},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08142727613449097},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06070426106452942},{"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/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","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/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C161584116","wikidata":"https://www.wikidata.org/wiki/Q1952580","display_name":"Multivariate statistics","level":2,"score":0.0},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-93563-8_5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-93563-8_5","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W10068438","https://openalex.org/W197405257","https://openalex.org/W1491152510","https://openalex.org/W1491644923","https://openalex.org/W1532770887","https://openalex.org/W1543878229","https://openalex.org/W1558077212","https://openalex.org/W1807072749","https://openalex.org/W1880955573","https://openalex.org/W1976767440","https://openalex.org/W1996360405","https://openalex.org/W2076645411","https://openalex.org/W2085856764","https://openalex.org/W2101040389","https://openalex.org/W2124797898","https://openalex.org/W2141040012","https://openalex.org/W2168581558","https://openalex.org/W3030946238","https://openalex.org/W4232836212","https://openalex.org/W4299827018"],"related_works":["https://openalex.org/W1828158523","https://openalex.org/W2047547195","https://openalex.org/W204175656","https://openalex.org/W1993992974","https://openalex.org/W1512294453","https://openalex.org/W2738234280","https://openalex.org/W2550734047","https://openalex.org/W2911841387","https://openalex.org/W2341571017","https://openalex.org/W2053002746"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-04T08:18:43.703281","created_date":"2025-10-10T00:00:00"}