{"id":"https://openalex.org/W3009822976","doi":"https://doi.org/10.1109/tcomm.2020.2978182","title":"A Generalized Construction of Multiple Complete Complementary Codes and Asymptotically Optimal Aperiodic Quasi-Complementary Sequence Sets","display_name":"A Generalized Construction of Multiple Complete Complementary Codes and Asymptotically Optimal Aperiodic Quasi-Complementary Sequence Sets","publication_year":2020,"publication_date":"2020-03-04","ids":{"openalex":"https://openalex.org/W3009822976","doi":"https://doi.org/10.1109/tcomm.2020.2978182","mag":"3009822976"},"language":"en","primary_location":{"id":"doi:10.1109/tcomm.2020.2978182","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2020.2978182","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","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/A5004913173","display_name":"Zhengchun Zhou","orcid":"https://orcid.org/0000-0002-0228-7119"},"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/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhengchun Zhou","raw_affiliation_strings":["School of Mathematics, Southwest Jiaotong University, Chengdu, China","State Key Laboratory of Cryptology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-0228-7119","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"State Key Laboratory of Cryptology, Beijing, China","institution_ids":["https://openalex.org/I4210132990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078453872","display_name":"Fangrui Liu","orcid":"https://orcid.org/0009-0009-6777-6392"},"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/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Fangrui Liu","raw_affiliation_strings":["School of Mathematics, Southwest Jiaotong University, Chengdu, China","State Key Laboratory of Cryptology, Beijing, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"State Key Laboratory of Cryptology, Beijing, China","institution_ids":["https://openalex.org/I4210132990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088857444","display_name":"Avik Ranjan Adhikary","orcid":"https://orcid.org/0000-0002-8981-6027"},"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/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Avik Ranjan Adhikary","raw_affiliation_strings":["School of Mathematics, Southwest Jiaotong University, Chengdu, China","State Key Laboratory of Cryptology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-8981-6027","affiliations":[{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]},{"raw_affiliation_string":"State Key Laboratory of Cryptology, Beijing, China","institution_ids":["https://openalex.org/I4210132990"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101880047","display_name":"Pingzhi Fan","orcid":"https://orcid.org/0000-0002-8281-6251"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Pingzhi Fan","raw_affiliation_strings":["Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China"],"raw_orcid":"https://orcid.org/0000-0002-8281-6251","affiliations":[{"raw_affiliation_string":"Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.7603,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.87844788,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"68","issue":"6","first_page":"3564","last_page":"3571"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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":0.9997000098228455,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9993000030517578,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9986000061035156,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/aperiodic-graph","display_name":"Aperiodic graph","score":0.9747388362884521},{"id":"https://openalex.org/keywords/asymptotically-optimal-algorithm","display_name":"Asymptotically optimal algorithm","score":0.6621729731559753},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6597873568534851},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6537296772003174},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6342661380767822},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6130343079566956},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.5693452954292297},{"id":"https://openalex.org/keywords/code-division-multiple-access","display_name":"Code division multiple access","score":0.5389422178268433},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48115766048431396},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.45999419689178467},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.4360893666744232},{"id":"https://openalex.org/keywords/interference","display_name":"Interference (communication)","score":0.41350769996643066},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3925448954105377},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.38148418068885803},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3286895453929901},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2632215619087219},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11304089426994324},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07856827974319458}],"concepts":[{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.9747388362884521},{"id":"https://openalex.org/C181789720","wikidata":"https://www.wikidata.org/wiki/Q4812191","display_name":"Asymptotically optimal algorithm","level":2,"score":0.6621729731559753},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6597873568534851},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6537296772003174},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6342661380767822},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6130343079566956},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5693452954292297},{"id":"https://openalex.org/C47696715","wikidata":"https://www.wikidata.org/wiki/Q233394","display_name":"Code division multiple access","level":2,"score":0.5389422178268433},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48115766048431396},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.45999419689178467},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.4360893666744232},{"id":"https://openalex.org/C32022120","wikidata":"https://www.wikidata.org/wiki/Q797225","display_name":"Interference (communication)","level":3,"score":0.41350769996643066},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3925448954105377},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.38148418068885803},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3286895453929901},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2632215619087219},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11304089426994324},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07856827974319458},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcomm.2020.2978182","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcomm.2020.2978182","pdf_url":null,"source":{"id":"https://openalex.org/S196647941","display_name":"IEEE Transactions on Communications","issn_l":"0090-6778","issn":["0090-6778","1558-0857"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310316002","host_organization_name":"IEEE Communications Society","host_organization_lineage":["https://openalex.org/P4310316002","https://openalex.org/P4310319808"],"host_organization_lineage_names":["IEEE Communications Society","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 Communications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G23357023","display_name":"\u65b0\u578b\u5dee\u5206\u5747\u5300\u51fd\u6570\u8bbe\u8ba1\u53ca\u5176\u76f8\u5173\u5e8f\u5217\u548c\u7f16\u7801\u7814\u7a76","funder_award_id":"61672028","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3316746206","display_name":null,"funder_award_id":"61661146003","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4145199205","display_name":null,"funder_award_id":"61731017","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4684833163","display_name":null,"funder_award_id":"111-2-14","funder_id":"https://openalex.org/F4320327912","funder_display_name":"Higher Education Discipline Innovation Project"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327912","display_name":"Higher Education Discipline Innovation Project","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":27,"referenced_works":["https://openalex.org/W1992933157","https://openalex.org/W2004493877","https://openalex.org/W2016651583","https://openalex.org/W2042242678","https://openalex.org/W2057419313","https://openalex.org/W2097485016","https://openalex.org/W2113212513","https://openalex.org/W2131199177","https://openalex.org/W2138548210","https://openalex.org/W2146663649","https://openalex.org/W2149469612","https://openalex.org/W2157420063","https://openalex.org/W2160136043","https://openalex.org/W2576929743","https://openalex.org/W2611067710","https://openalex.org/W2757393540","https://openalex.org/W2802930543","https://openalex.org/W2803707705","https://openalex.org/W2892578738","https://openalex.org/W2902509606","https://openalex.org/W2904173435","https://openalex.org/W2908349233","https://openalex.org/W2918758250","https://openalex.org/W2962499320","https://openalex.org/W2964837867","https://openalex.org/W4230591943","https://openalex.org/W6677191768"],"related_works":["https://openalex.org/W2037661079","https://openalex.org/W2339191433","https://openalex.org/W4287817191","https://openalex.org/W4298800952","https://openalex.org/W2039582600","https://openalex.org/W1992569127","https://openalex.org/W172284633","https://openalex.org/W4380551899","https://openalex.org/W4328036935","https://openalex.org/W3009822976"],"abstract_inverted_index":{"In":[0,28],"recent":[1,108],"years,":[2],"complete":[3],"complementary":[4],"codes":[5],"(CCCs)":[6],"and":[7,99,120],"quasi-complementary":[8],"sequence":[9],"sets":[10,38],"(QCSSs)":[11],"have":[12],"found":[13],"many":[14],"important":[15],"applications":[16],"in":[17,89],"multi-carrier":[18],"code-division":[19],"multiple-access":[20],"(MC-CDMA)":[21],"systems":[22],"for":[23],"their":[24],"good":[25],"correlation":[26],"properties.":[27],"this":[29],"paper,":[30],"we":[31],"propose":[32],"a":[33,90,107,117],"generic":[34],"construction":[35,105,110],"of":[36,39,48,50,69,84,93,111],"multiple":[37],"CCCs":[40,72,87],"over":[41],"Z":[42],"<sub":[43],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[44],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">N</sub>":[45],",":[46],"consisting":[47],"sequences":[49,94],"length":[51,115],"N,":[52],"where":[53],"N":[54],"\u2265":[55],"3":[56],"is":[57,73],"an":[58],"arbitrary":[59],"odd":[60],"integer.":[61],"Interestingly,":[62],"the":[63,70,82,85],"maximum":[64],"inter-set":[65],"aperiodic":[66,101],"cross-correlation":[67],"magnitude":[68],"proposed":[71,104],"upper":[74],"bounded":[75],"by":[76],"N.":[77],"It":[78],"turns":[79],"out":[80],"that":[81],"combination":[83],"generated":[86],"results":[88],"new":[91,127],"set":[92],"to":[95,122],"obtain":[96],"asymptotically":[97,123],"optimal":[98,109,124],"near-optimal":[100],"QCSSs.":[102],"The":[103],"includes":[106],"QCSSs":[112,125],"with":[113,126],"prime":[114],"as":[116],"special":[118],"case":[119],"leads":[121],"flexible":[128],"parameters.":[129]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
