{"id":"https://openalex.org/W2168537971","doi":"https://doi.org/10.1109/tit.2011.2132670","title":"On the Correlation Distributions of the Optimal Quaternary Sequence Family ${\\cal U}$ and the Optimal Binary Sequence Family ${\\cal V}$","display_name":"On the Correlation Distributions of the Optimal Quaternary Sequence Family ${\\cal U}$ and the Optimal Binary Sequence Family ${\\cal V}$","publication_year":2011,"publication_date":"2011-05-25","ids":{"openalex":"https://openalex.org/W2168537971","doi":"https://doi.org/10.1109/tit.2011.2132670","mag":"2168537971"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2011.2132670","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2132670","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Information Theory","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/A5100400586","display_name":"Nian Li","orcid":"https://orcid.org/0000-0003-4913-7844"},"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":true,"raw_author_name":"Nian Li","raw_affiliation_strings":["Provincial Key Laboratory of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"Provincial Key Laboratory of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029840191","display_name":"Xiaohu Tang","orcid":"https://orcid.org/0000-0002-7938-7812"},"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":"Xiaohu Tang","raw_affiliation_strings":["Provincial Key Laboratory of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China"],"affiliations":[{"raw_affiliation_string":"Provincial Key Laboratory of Information Coding and Transmission, Institute of Mobile Communications, Southwest Jiaotong University, Chengdu, China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029996403","display_name":"Xiangyong Zeng","orcid":"https://orcid.org/0000-0002-8351-8766"},"institutions":[{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangyong Zeng","raw_affiliation_strings":["Faculty of Mathematics and Computer Science, Hubei University, Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Computer Science, Hubei University, Wuhan, China","institution_ids":["https://openalex.org/I75900474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034965387","display_name":"Lei Hu","orcid":"https://orcid.org/0000-0002-9920-5342"},"institutions":[{"id":"https://openalex.org/I4391768012","display_name":"State Key Laboratory of Information Security","ror":"https://ror.org/012cr4033","country_code":null,"type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404","https://openalex.org/I4391768012"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Hu","raw_affiliation_strings":["State Key Laboratory of Information Security, Chinese Academy and Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Information Security, Chinese Academy and Sciences, Beijing, China","institution_ids":["https://openalex.org/I4391768012"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5100400586"],"corresponding_institution_ids":["https://openalex.org/I4800084"],"apc_list":null,"apc_paid":null,"fwci":0.4276,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.74366064,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"57","issue":"6","first_page":"3815","last_page":"3824"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9995999932289124,"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":0.9995999932289124,"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/T10849","display_name":"Finite Group Theory Research","score":0.9648000001907349,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9638000130653381,"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/notation","display_name":"Notation","score":0.6902526617050171},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5488380789756775},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5131369233131409},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46616819500923157},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.46230900287628174},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3572392165660858},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3455895483493805},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10929074883460999},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.07527992129325867}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6902526617050171},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5488380789756775},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5131369233131409},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46616819500923157},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.46230900287628174},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3572392165660858},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3455895483493805},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10929074883460999},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.07527992129325867},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2011.2132670","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2132670","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["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 Information Theory","raw_type":"journal-article"}],"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/W1551268096","https://openalex.org/W1556443961","https://openalex.org/W1576249471","https://openalex.org/W1752135026","https://openalex.org/W1872923152","https://openalex.org/W1983254674","https://openalex.org/W2010825458","https://openalex.org/W2024470588","https://openalex.org/W2027506517","https://openalex.org/W2035289644","https://openalex.org/W2038681062","https://openalex.org/W2105985720","https://openalex.org/W2113594177","https://openalex.org/W2116119493","https://openalex.org/W2133781910","https://openalex.org/W2135575390","https://openalex.org/W2138548210","https://openalex.org/W2171508712","https://openalex.org/W2320998793","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2504004674","https://openalex.org/W2024638892","https://openalex.org/W763418848","https://openalex.org/W1595229445","https://openalex.org/W149041114","https://openalex.org/W2963177394","https://openalex.org/W1965815883","https://openalex.org/W4313359513","https://openalex.org/W322408318","https://openalex.org/W38661524"],"abstract_inverted_index":{"Recently,":[0],"new":[1],"optimal":[2,25,71],"Families":[3,56],"<formula":[4,11,29,38,57,64,115],"formulatype=\"inline\"":[5,12,30,39,58,65,116],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[6,13,31,40,59,66,117],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex":[7,14,32,60,67],"Notation=\"TeX\">${\\cal":[8,15,33,43,61,68],"S}$</tex></formula>":[9,44],"and":[10,23,63,79,111],"U}$</tex></formula>":[16,62],"of":[17,108,114],"quaternary":[18],"sequences":[19],"have":[20],"been":[21,49],"presented,":[22],"the":[24,75,112],"binary":[26],"sequence":[27,55],"Family":[28,37],"V}$</tex></formula>":[34,69],"obtained":[35],"from":[36],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[41,118],"<tex":[42,119],"under":[45],"Gray":[46],"map":[47],"has":[48],"investigated":[50],"as":[51],"well.":[52],"The":[53],"two":[54],"are":[70,87,99],"with":[72],"respect":[73],"to":[74],"well-known":[76],"Sidelnikov":[77],"bound":[78],"Welch":[80],"bound,":[81],"but":[82],"their":[83,95],"exact":[84,96],"correlation":[85,97],"distributions":[86,98],"not":[88],"known":[89],"until":[90],"now.":[91],"In":[92],"this":[93],"paper,":[94],"completely":[100],"determined":[101],"in":[102],"some":[103],"cases":[104],"by":[105],"making":[106],"use":[107],"exponential":[109],"sums":[110],"theory":[113],"Notation=\"TeX\">${\\bf":[120],"Z}_4$</tex></formula>":[121],"-valued":[122],"quadratic":[123],"forms.":[124]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}