{"id":"https://openalex.org/W4226164779","doi":"https://doi.org/10.3934/amc.2022019","title":"Three constructions of Golay complementary array sets","display_name":"Three constructions of Golay complementary array sets","publication_year":2022,"publication_date":"2022-03-16","ids":{"openalex":"https://openalex.org/W4226164779","doi":"https://doi.org/10.3934/amc.2022019"},"language":"en","primary_location":{"id":"doi:10.3934/amc.2022019","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2022019","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=16c121bb-7b86-4e9e-b21e-2e4905d74653","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.aimsciences.org/article/exportPdf?id=16c121bb-7b86-4e9e-b21e-2e4905d74653","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5066954768","display_name":"Bingsheng Shen","orcid":"https://orcid.org/0000-0002-0216-3108"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bingsheng Shen","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100397622","display_name":"Yang Yang","orcid":"https://orcid.org/0000-0002-5241-5203"},"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":"Yang Yang","raw_affiliation_strings":["School of Mathematics, Southwest Jiaotong University, Chengdu 611756, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu 611756, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005422046","display_name":"Ruibin Ren","orcid":"https://orcid.org/0000-0001-6963-4376"},"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":"Ruibin Ren","raw_affiliation_strings":["School of Mathematics, Southwest Jiaotong University, Chengdu 611756, China"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu 611756, China","institution_ids":["https://openalex.org/I4800084"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5066954768"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.7375,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.68270379,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"18","issue":"3","first_page":"696","last_page":"710"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11873","display_name":"PAPR reduction in OFDM","score":0.9958999752998352,"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"}},"topics":[{"id":"https://openalex.org/T11873","display_name":"PAPR reduction in OFDM","score":0.9958999752998352,"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/T11797","display_name":"graph theory and CDMA systems","score":0.984000027179718,"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9825999736785889,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/binary-golay-code","display_name":"Binary Golay code","score":0.9649527668952942},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.9054141044616699},{"id":"https://openalex.org/keywords/aperiodic-graph","display_name":"Aperiodic graph","score":0.7477314472198486},{"id":"https://openalex.org/keywords/concatenation","display_name":"Concatenation (mathematics)","score":0.7124826908111572},{"id":"https://openalex.org/keywords/complementary-sequences","display_name":"Complementary sequences","score":0.5692952871322632},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43703240156173706},{"id":"https://openalex.org/keywords/orthogonal-array","display_name":"Orthogonal array","score":0.43242451548576355},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4197099804878235},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.3717193007469177},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35303932428359985},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13661432266235352}],"concepts":[{"id":"https://openalex.org/C165293857","wikidata":"https://www.wikidata.org/wiki/Q1534522","display_name":"Binary Golay code","level":2,"score":0.9649527668952942},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9054141044616699},{"id":"https://openalex.org/C104247578","wikidata":"https://www.wikidata.org/wiki/Q4779368","display_name":"Aperiodic graph","level":2,"score":0.7477314472198486},{"id":"https://openalex.org/C87619178","wikidata":"https://www.wikidata.org/wiki/Q126002","display_name":"Concatenation (mathematics)","level":2,"score":0.7124826908111572},{"id":"https://openalex.org/C32795469","wikidata":"https://www.wikidata.org/wiki/Q5156430","display_name":"Complementary sequences","level":2,"score":0.5692952871322632},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43703240156173706},{"id":"https://openalex.org/C42632107","wikidata":"https://www.wikidata.org/wiki/Q2031860","display_name":"Orthogonal array","level":3,"score":0.43242451548576355},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4197099804878235},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.3717193007469177},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35303932428359985},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13661432266235352},{"id":"https://openalex.org/C83469408","wikidata":"https://www.wikidata.org/wiki/Q2036525","display_name":"Taguchi methods","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3934/amc.2022019","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2022019","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=16c121bb-7b86-4e9e-b21e-2e4905d74653","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.3934/amc.2022019","is_oa":true,"landing_page_url":"https://doi.org/10.3934/amc.2022019","pdf_url":"https://www.aimsciences.org/article/exportPdf?id=16c121bb-7b86-4e9e-b21e-2e4905d74653","source":{"id":"https://openalex.org/S161492159","display_name":"Advances in Mathematics of Communications","issn_l":"1930-5338","issn":["1930-5338","1930-5346"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310315844","host_organization_name":"American Institute of Mathematical Sciences","host_organization_lineage":["https://openalex.org/P4310315844"],"host_organization_lineage_names":["American Institute of Mathematical Sciences"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Mathematics of Communications","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.44999998807907104,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4226164779.pdf","grobid_xml":"https://content.openalex.org/works/W4226164779.grobid-xml"},"referenced_works_count":22,"referenced_works":["https://openalex.org/W94038585","https://openalex.org/W1491721124","https://openalex.org/W1986765894","https://openalex.org/W2006439589","https://openalex.org/W2012585113","https://openalex.org/W2020519696","https://openalex.org/W2024674802","https://openalex.org/W2026207439","https://openalex.org/W2078589691","https://openalex.org/W2087063323","https://openalex.org/W2136435457","https://openalex.org/W2137108291","https://openalex.org/W2146663649","https://openalex.org/W2157420063","https://openalex.org/W2160136043","https://openalex.org/W2294688254","https://openalex.org/W2526609646","https://openalex.org/W3002135215","https://openalex.org/W3080916500","https://openalex.org/W3088689205","https://openalex.org/W3136834678","https://openalex.org/W3143072515"],"related_works":["https://openalex.org/W3150133249","https://openalex.org/W2028812061","https://openalex.org/W2094398455","https://openalex.org/W2950105793","https://openalex.org/W2125205367","https://openalex.org/W2128106185","https://openalex.org/W2024320365","https://openalex.org/W4321498295","https://openalex.org/W2794336134","https://openalex.org/W2768820797"],"abstract_inverted_index":{"<p":[0],"style='text-indent:20px;'>Recently,":[1],"two-dimensional":[2],"(2-D)":[3],"arrays":[4],"with":[5,74],"good":[6],"correlation":[7],"have":[8],"been":[9],"used":[10],"in":[11],"MIMO":[12],"systems.":[13],"In":[14],"this":[15],"paper,":[16],"we":[17,46,58],"investigate":[18],"new":[19,52],"2-D":[20,27,35,42],"Golay":[21],"complementary":[22],"array":[23],"sets":[24],"(GCASs),":[25],"whose":[26],"aperiodic":[28],"auto-correlation":[29],"sums":[30],"are":[31],"zero":[32],"for":[33],"all":[34],"nonzero":[36],"shifts.":[37],"Firstly,":[38],"based":[39],"on":[40],"the":[41],"generalized":[43],"Boolean":[44],"functions,":[45],"propose":[47],"a":[48,70],"direct":[49],"construction":[50],"of":[51,63,72],"GCASs.":[53,64],"Secondly,":[54],"using":[55],"horizontal":[56],"concatenation,":[57],"give":[59],"two":[60],"indirect":[61],"constructions":[62,67],"The":[65],"proposed":[66],"can":[68],"provide":[69],"lot":[71],"GCASs":[73],"flexible":[75],"parameters.":[76]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}