{"id":"https://openalex.org/W3010958795","doi":"https://doi.org/10.1155/2020/6963487","title":"Linear Complexity of Generalized Cyclotomic Sequences of Order 4 over <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"double-struck\">F</mml:mi></mml:mrow><mml:mrow><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>","display_name":"Linear Complexity of Generalized Cyclotomic Sequences of Order 4 over <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" id=\"M1\"><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=\"double-struck\">F</mml:mi></mml:mrow><mml:mrow><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>","publication_year":2020,"publication_date":"2020-03-11","ids":{"openalex":"https://openalex.org/W3010958795","doi":"https://doi.org/10.1155/2020/6963487","mag":"3010958795"},"language":"lv","primary_location":{"id":"doi:10.1155/2020/6963487","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/6963487","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/6963487.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/6963487.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100649795","display_name":"Yuhua Sun","orcid":"https://orcid.org/0000-0002-9046-1091"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuhua Sun","raw_affiliation_strings":["College of Science, China University of Petroleum Qingdao, Shandong 266580, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum Qingdao, Shandong 266580, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058092999","display_name":"Qiuyan Wang","orcid":"https://orcid.org/0000-0001-9826-8272"},"institutions":[{"id":"https://openalex.org/I198091727","display_name":"Tiangong University","ror":"https://ror.org/00xsr9m91","country_code":"CN","type":"education","lineage":["https://openalex.org/I198091727"]},{"id":"https://openalex.org/I64449678","display_name":"Putian University","ror":"https://ror.org/00jmsxk74","country_code":"CN","type":"education","lineage":["https://openalex.org/I64449678"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qiuyan Wang","raw_affiliation_strings":["Provincial Key Laboratory of Applied Mathematics, Putian University, Putian, Fujian, China","School of Computer Science and Technology, Tiangong University, Tianjin 300387, China"],"raw_orcid":"https://orcid.org/0000-0001-9826-8272","affiliations":[{"raw_affiliation_string":"Provincial Key Laboratory of Applied Mathematics, Putian University, Putian, Fujian, China","institution_ids":["https://openalex.org/I64449678"]},{"raw_affiliation_string":"School of Computer Science and Technology, Tiangong University, Tianjin 300387, China","institution_ids":["https://openalex.org/I198091727"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100318832","display_name":"Yang Yan","orcid":"https://orcid.org/0000-0001-7694-2801"},"institutions":[{"id":"https://openalex.org/I133270356","display_name":"Tianjin University of Technology and Education","ror":"https://ror.org/035gwtk09","country_code":"CN","type":"education","lineage":["https://openalex.org/I133270356"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Yan","raw_affiliation_strings":["School of Information Technology and Engineering, Tianjin University of Technology and Education, Tianjin 300222, China"],"raw_orcid":"https://orcid.org/0000-0001-7694-2801","affiliations":[{"raw_affiliation_string":"School of Information Technology and Engineering, Tianjin University of Technology and Education, Tianjin 300222, China","institution_ids":["https://openalex.org/I133270356"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100326651","display_name":"Tongjiang Yan","orcid":"https://orcid.org/0000-0002-9647-503X"},"institutions":[{"id":"https://openalex.org/I4210162190","display_name":"China University of Petroleum, East China","ror":"https://ror.org/05gbn2817","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210162190"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Tongjiang Yan","raw_affiliation_strings":["College of Science, China University of Petroleum Qingdao, Shandong 266580, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Science, China University of Petroleum Qingdao, Shandong 266580, China","institution_ids":["https://openalex.org/I4210162190"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100661001","display_name":"Hui Li","orcid":"https://orcid.org/0000-0003-3298-5265"},"institutions":[{"id":"https://openalex.org/I149594827","display_name":"Xidian University","ror":"https://ror.org/05s92vm98","country_code":"CN","type":"education","lineage":["https://openalex.org/I149594827"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Hui Li","raw_affiliation_strings":["State Key Laboratory of Integrated Service Networks, School of Cyber Engineering, Xidian University, Xi\u2019an 710071, Shanxi, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Integrated Service Networks, School of Cyber Engineering, Xidian University, Xi\u2019an 710071, Shanxi, China","institution_ids":["https://openalex.org/I149594827"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5058092999"],"corresponding_institution_ids":["https://openalex.org/I198091727","https://openalex.org/I64449678"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.0,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.02465018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":98},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"8"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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/T11130","display_name":"Coding theory and cryptography","score":1.0,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9980000257492065,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9944000244140625,"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/algorithm","display_name":"Algorithm","score":0.6423594951629639},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.4621482789516449},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.45403429865837097},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44550174474716187},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.3270215392112732},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32310181856155396},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2232629358768463}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6423594951629639},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.4621482789516449},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.45403429865837097},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44550174474716187},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.3270215392112732},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32310181856155396},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2232629358768463},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1155/2020/6963487","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/6963487","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/6963487.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:dccf1165806f4b18864944f1a91ef72d","is_oa":true,"landing_page_url":"https://doaj.org/article/dccf1165806f4b18864944f1a91ef72d","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":"Complexity, Vol 2020 (2020)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2020/6963487","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/6963487","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/6963487.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1002643412","display_name":null,"funder_award_id":"ZR2019MF070","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G1014003084","display_name":null,"funder_award_id":"61902429","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G1030887109","display_name":null,"funder_award_id":"SX201806","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G1137473495","display_name":null,"funder_award_id":"61902429","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1283883116","display_name":null,"funder_award_id":"61802281","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G1352907995","display_name":null,"funder_award_id":"UPCIEF2019020","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G1384077804","display_name":null,"funder_award_id":"2017KJ237","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1432222850","display_name":null,"funder_award_id":"19CX02058A","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G1562600175","display_name":null,"funder_award_id":"11775306","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G1618006889","display_name":null,"funder_award_id":"ZR2017MA001","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G1675768122","display_name":null,"funder_award_id":"201809345010","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G1729420318","display_name":null,"funder_award_id":"19CX02058A","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G1806625787","display_name":null,"funder_award_id":"11775306","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G1937401943","display_name":null,"funder_award_id":"SDKLCN-2018-02","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G1985295072","display_name":null,"funder_award_id":"61972456","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G2061280466","display_name":null,"funder_award_id":"61602342","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G2178140815","display_name":null,"funder_award_id":"ZR2017MA001","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G2327045022","display_name":null,"funder_award_id":"61602342","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2331817552","display_name":null,"funder_award_id":"18JCQNJC70300","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2406908760","display_name":null,"funder_award_id":"61911530130","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G242012413","display_name":null,"funder_award_id":"61602342","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G2423715704","display_name":null,"funder_award_id":"19CX02058A","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G2491345329","display_name":null,"funder_award_id":"201809345010","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G2553019292","display_name":null,"funder_award_id":"17CX02030A","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G2688456610","display_name":null,"funder_award_id":"SX201806","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G2728448423","display_name":null,"funder_award_id":"61802281","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G2732565206","display_name":null,"funder_award_id":"2018KJ215","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2788811598","display_name":null,"funder_award_id":"2018KJ215","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G2826054473","display_name":null,"funder_award_id":"61902429","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G2898957951","display_name":null,"funder_award_id":"SX201904","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G2899167703","display_name":null,"funder_award_id":"61911530130","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G2921583231","display_name":null,"funder_award_id":"UPCIEF2019020","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G2997722035","display_name":null,"funder_award_id":"61602342","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G3010580586","display_name":null,"funder_award_id":"ZR2019MF070","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G3074870254","display_name":null,"funder_award_id":"17CX02030A","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G3076517637","display_name":null,"funder_award_id":"SX201806","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G3141738492","display_name":null,"funder_award_id":"17CX02030A","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G3151025093","display_name":null,"funder_award_id":"2017KJ237","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G3151043728","display_name":null,"funder_award_id":"201809345010","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G3173982812","display_name":null,"funder_award_id":"UPCIEF2019020","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G3384259848","display_name":null,"funder_award_id":"SX201702","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G3398471574","display_name":null,"funder_award_id":"61602342","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G347603383","display_name":null,"funder_award_id":"61802281","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G3498483176","display_name":null,"funder_award_id":"SX201806","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G3506835640","display_name":null,"funder_award_id":"61972456","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G3550243157","display_name":null,"funder_award_id":"61972456","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G3602896644","display_name":null,"funder_award_id":"61972456","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G3659709416","display_name":null,"funder_award_id":"2018KJ215","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G37343058","display_name":null,"funder_award_id":"SDKLCN-2018-02","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3753509395","display_name":null,"funder_award_id":"ZR2019MF070","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G405628999","display_name":null,"funder_award_id":"61902429","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G4113137316","display_name":null,"funder_award_id":"201809345010","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G4158134735","display_name":null,"funder_award_id":"19CX02058A","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4277745109","display_name":null,"funder_award_id":"SX201804","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G4282599331","display_name":null,"funder_award_id":"61902429","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G434241345","display_name":null,"funder_award_id":"SX201804","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G4356770973","display_name":null,"funder_award_id":"17CX02030A","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G4376629123","display_name":null,"funder_award_id":"201809345010","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G4403074409","display_name":null,"funder_award_id":"SX201806","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G4419562353","display_name":null,"funder_award_id":"UPCIEF2019020","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4460300903","display_name":null,"funder_award_id":"11775306","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G4484816142","display_name":null,"funder_award_id":"2017KJ237","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G4539531857","display_name":null,"funder_award_id":"201809345010","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G4545189974","display_name":null,"funder_award_id":"11775306","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4696880988","display_name":null,"funder_award_id":"SX201702","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4696982418","display_name":null,"funder_award_id":"61911530130","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G4718394360","display_name":null,"funder_award_id":"SX201904","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G4741041616","display_name":null,"funder_award_id":"61911530130","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G4923919988","display_name":null,"funder_award_id":"17CX02030A","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G4924329097","display_name":null,"funder_award_id":"61972456","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G4930070195","display_name":null,"funder_award_id":"UPCIEF2019020","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G4938792987","display_name":null,"funder_award_id":"SDKLCN-2018-02","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G4978123905","display_name":null,"funder_award_id":"SX201904","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5069631548","display_name":null,"funder_award_id":"11775306","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G5226891616","display_name":null,"funder_award_id":"18JCQNJC70300","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5299809286","display_name":null,"funder_award_id":"61902429","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G5340732912","display_name":null,"funder_award_id":"ZR2017MA001","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G5491919200","display_name":null,"funder_award_id":"2018KJ215","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G5534258600","display_name":null,"funder_award_id":"61802281","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G5560578435","display_name":null,"funder_award_id":"SX201804","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5563992758","display_name":null,"funder_award_id":"2018KJ215","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5575106925","display_name":null,"funder_award_id":"61802281","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5608148255","display_name":null,"funder_award_id":"ZR2017MA001","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G568392799","display_name":null,"funder_award_id":"201809345010","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5790528830","display_name":null,"funder_award_id":"SX201702","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5822395738","display_name":null,"funder_award_id":"18JCQNJC70300","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G5851982945","display_name":null,"funder_award_id":"SX201806","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G5961311458","display_name":null,"funder_award_id":"19CX02058A","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G6059606440","display_name":null,"funder_award_id":"SX201804","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G6122435824","display_name":null,"funder_award_id":"SDKLCN-2018-02","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G6174467056","display_name":null,"funder_award_id":"18JCQNJC70300","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G6186896599","display_name":null,"funder_award_id":"ZR2019MF070","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6196600824","display_name":null,"funder_award_id":"18JCQNJC70300","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G6222812591","display_name":null,"funder_award_id":"19CX02058A","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6242096146","display_name":null,"funder_award_id":"SDKLCN-2018-02","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G6313632428","display_name":null,"funder_award_id":"17CX02030A","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G6413639595","display_name":null,"funder_award_id":"17CX02030A","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6534914819","display_name":null,"funder_award_id":"2017KJ237","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G6590370139","display_name":null,"funder_award_id":"61911530130","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G6607411896","display_name":null,"funder_award_id":"ZR2019MF070","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6615150360","display_name":null,"funder_award_id":"61802281","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G6623856142","display_name":null,"funder_award_id":"SX201702","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G6722411769","display_name":null,"funder_award_id":"18JCQNJC70300","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G674394312","display_name":null,"funder_award_id":"SX201904","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6772952603","display_name":null,"funder_award_id":"ZR2017MA001","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7005072122","display_name":null,"funder_award_id":"61602342","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G7092263906","display_name":null,"funder_award_id":"SX201804","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7129501981","display_name":null,"funder_award_id":"SX201904","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G7235858996","display_name":null,"funder_award_id":"61802281","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G7283880564","display_name":null,"funder_award_id":"2017KJ237","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G7297112845","display_name":null,"funder_award_id":"SX201702","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G7299635725","display_name":null,"funder_award_id":"61902429","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G7355104083","display_name":null,"funder_award_id":"61972456","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G740648162","display_name":null,"funder_award_id":"18JCQNJC70300","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G7667626194","display_name":null,"funder_award_id":"2018KJ215","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G7701636930","display_name":null,"funder_award_id":"11775306","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G7711978987","display_name":null,"funder_award_id":"61602342","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G7796421354","display_name":null,"funder_award_id":"UPCIEF2019020","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7842345425","display_name":null,"funder_award_id":"SDKLCN-2018-02","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G7914433639","display_name":null,"funder_award_id":"SX201806","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7946354190","display_name":null,"funder_award_id":"61911530130","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7965255630","display_name":null,"funder_award_id":"ZR2017MA001","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G7988195507","display_name":null,"funder_award_id":"UPCIEF2019020","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G8016482741","display_name":null,"funder_award_id":"ZR2019MF070","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G8123916121","display_name":null,"funder_award_id":"SX201702","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G8163892778","display_name":"\u9762\u5411\u8ba4\u77e5\u7269\u8054\u7f51\u7684\u9891\u8c31\u5927\u6570\u636e\u5904\u7406\u5173\u952e\u6280\u672f\u7814\u7a76","funder_award_id":"61972456","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8252400654","display_name":null,"funder_award_id":"SX201904","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G8404840756","display_name":null,"funder_award_id":"2017KJ237","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G8418414678","display_name":null,"funder_award_id":"2017KJ237","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G8529750159","display_name":null,"funder_award_id":"11775306","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G8545873007","display_name":null,"funder_award_id":"SX201804","funder_id":"https://openalex.org/F4320321547","funder_display_name":"China University of Petroleum, Beijing"},{"id":"https://openalex.org/G8553240327","display_name":null,"funder_award_id":"61911530130","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G8597187170","display_name":null,"funder_award_id":"SX201904","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G8716591563","display_name":null,"funder_award_id":"SX201804","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"},{"id":"https://openalex.org/G8722696791","display_name":null,"funder_award_id":"ZR2017MA001","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G8761426115","display_name":null,"funder_award_id":"SX201702","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G8834485091","display_name":null,"funder_award_id":"19CX02058A","funder_id":"https://openalex.org/F4320322725","funder_display_name":"China Scholarship Council"},{"id":"https://openalex.org/G8901086286","display_name":null,"funder_award_id":"ZR2019MF070","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"},{"id":"https://openalex.org/G8968828185","display_name":null,"funder_award_id":"SDKLCN-2018-02","funder_id":"https://openalex.org/F4320326529","funder_display_name":"Putian University"},{"id":"https://openalex.org/G969474734","display_name":null,"funder_award_id":"2018KJ215","funder_id":"https://openalex.org/F4320323993","funder_display_name":"Natural Science Foundation of Tianjin City"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"},{"id":"https://openalex.org/F4320321547","display_name":"China University of Petroleum, Beijing","ror":"https://ror.org/041qf4r12"},{"id":"https://openalex.org/F4320322725","display_name":"China Scholarship Council","ror":"https://ror.org/04atp4p48"},{"id":"https://openalex.org/F4320323993","display_name":"Natural Science Foundation of Tianjin City","ror":null},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null},{"id":"https://openalex.org/F4320326529","display_name":"Putian University","ror":"https://ror.org/00jmsxk74"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3010958795.pdf","grobid_xml":"https://content.openalex.org/works/W3010958795.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W793948417","https://openalex.org/W1603217070","https://openalex.org/W1970347307","https://openalex.org/W1984945961","https://openalex.org/W2003125393","https://openalex.org/W2004425646","https://openalex.org/W2005235240","https://openalex.org/W2024297538","https://openalex.org/W2029206768","https://openalex.org/W2031207368","https://openalex.org/W2045462118","https://openalex.org/W2058674058","https://openalex.org/W2078118200","https://openalex.org/W2106807710","https://openalex.org/W2132314612","https://openalex.org/W2147375850","https://openalex.org/W2163751669","https://openalex.org/W2164851987","https://openalex.org/W2170049228","https://openalex.org/W2342270946","https://openalex.org/W2963544156"],"related_works":["https://openalex.org/W3034924094","https://openalex.org/W1488708774","https://openalex.org/W3094954546","https://openalex.org/W2981906196","https://openalex.org/W4391100477","https://openalex.org/W4327779705","https://openalex.org/W1513698804","https://openalex.org/W4310560702","https://openalex.org/W2029712093","https://openalex.org/W1982811510"],"abstract_inverted_index":{"Generalized":[0],"cyclotomic":[1],"sequences":[2,39,50,62],"of":[3,37,40,51,60],"period":[4],"<mml:math":[5,69],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[6,70],"id=\"M2\"><mml:mrow><mml:mi>p</mml:mi><mml:mi>q</mml:mi></mml:mrow></mml:math>":[7],"have":[8,81],"several":[9],"desirable":[10],"randomness":[11],"properties":[12],"if":[13],"the":[14,27,31,34,48,57],"two":[15],"primes":[16],"p":[17],"and":[18,33],"q":[19],"are":[20],"chosen":[21],"properly.":[22],"In":[23,43],"particular,":[24],"Ding":[25],"deduced":[26],"exact":[28],"formulas":[29],"for":[30],"autocorrelation":[32],"linear":[35,58,83],"complexity":[36,59],"these":[38,61],"order":[41,52],"2.":[42],"this":[44],"paper,":[45],"we":[46],"consider":[47],"generalized":[49],"4.":[53],"Under":[54],"certain":[55],"conditions,":[56],"is":[63],"developed":[64],"over":[65],"a":[66],"finite":[67],"field":[68],"id=\"M3\"><mml:mrow><mml:msub><mml:mrow><mml:mi":[71],"mathvariant=\"double-struck\">F</mml:mi></mml:mrow><mml:mrow><mml:mi>l</mml:mi></mml:mrow></mml:msub></mml:mrow></mml:math>.":[72],"The":[73],"results":[74],"show":[75],"that,":[76],"in":[77],"many":[78],"cases,":[79],"they":[80],"high":[82],"complexity.":[84]},"counts_by_year":[{"year":2026,"cited_by_count":1}],"updated_date":"2026-06-06T09:05:17.133730","created_date":"2025-10-10T00:00:00"}
