{"id":"https://openalex.org/W4206937634","doi":"https://doi.org/10.1109/tit.2022.3146267","title":"Binary Sequences With a Low Correlation via Cyclotomic Function Fields","display_name":"Binary Sequences With a Low Correlation via Cyclotomic Function Fields","publication_year":2022,"publication_date":"2022-01-24","ids":{"openalex":"https://openalex.org/W4206937634","doi":"https://doi.org/10.1109/tit.2022.3146267"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3146267","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3146267","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/A5031414307","display_name":"Lingfei Jin","orcid":"https://orcid.org/0000-0002-1523-880X"},"institutions":[{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"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"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lingfei Jin","raw_affiliation_strings":["Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai, China","State Key Laboratory of Cryptology, Beijing, China"],"raw_orcid":"https://orcid.org/0000-0002-1523-880X","affiliations":[{"raw_affiliation_string":"Shanghai Key Laboratory of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai, China","institution_ids":["https://openalex.org/I24943067"]},{"raw_affiliation_string":"State Key Laboratory of Cryptology, Beijing, China","institution_ids":["https://openalex.org/I4210132990"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091176326","display_name":"Liming Ma","orcid":"https://orcid.org/0000-0003-1475-4017"},"institutions":[{"id":"https://openalex.org/I126520041","display_name":"University of Science and Technology of China","ror":"https://ror.org/04c4dkn09","country_code":"CN","type":"education","lineage":["https://openalex.org/I126520041","https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Liming Ma","raw_affiliation_strings":["School of Mathematical Sciences, University of Science and Technology of China, Hefei, China"],"raw_orcid":"https://orcid.org/0000-0003-1475-4017","affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Science and Technology of China, Hefei, China","institution_ids":["https://openalex.org/I126520041"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019628468","display_name":"Chaoping Xing","orcid":"https://orcid.org/0000-0002-1257-1033"},"institutions":[{"id":"https://openalex.org/I183067930","display_name":"Shanghai Jiao Tong University","ror":"https://ror.org/0220qvk04","country_code":"CN","type":"education","lineage":["https://openalex.org/I183067930"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chaoping Xing","raw_affiliation_strings":["School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China"],"raw_orcid":"https://orcid.org/0000-0002-1257-1033","affiliations":[{"raw_affiliation_string":"School of Electronic Information and Electrical Engineering, Shanghai Jiao Tong University, Shanghai, China","institution_ids":["https://openalex.org/I183067930"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5031414307"],"corresponding_institution_ids":["https://openalex.org/I24943067","https://openalex.org/I4210132990"],"apc_list":null,"apc_paid":null,"fwci":0.2775,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.60380394,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"68","issue":"5","first_page":"3445","last_page":"3454"},"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/T14281","display_name":"Islamic Finance and Communication","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T12162","display_name":"Cellular Automata and Applications","score":0.9679999947547913,"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/notation","display_name":"Notation","score":0.6783956289291382},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.6578061580657959},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5753335952758789},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5299233794212341},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.5027670860290527},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4496408998966217},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.44709062576293945},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.4321354627609253},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4112870693206787},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3681596517562866},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3367765545845032},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24841541051864624},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2145002782344818},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.14871442317962646},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06216752529144287},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.059704720973968506}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6783956289291382},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.6578061580657959},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5753335952758789},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5299233794212341},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.5027670860290527},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4496408998966217},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.44709062576293945},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.4321354627609253},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4112870693206787},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3681596517562866},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3367765545845032},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24841541051864624},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2145002782344818},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.14871442317962646},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06216752529144287},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.059704720973968506},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","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/tit.2022.3146267","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3146267","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":[{"id":"https://openalex.org/G1883152668","display_name":null,"funder_award_id":"20QA1401100","funder_id":"https://openalex.org/F4320327803","funder_display_name":"Shanghai Rising-Star Program"},{"id":"https://openalex.org/G3452697306","display_name":null,"funder_award_id":"12031011","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G6746131409","display_name":null,"funder_award_id":"11871154","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8893394073","display_name":null,"funder_award_id":"WK0010000068","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320327803","display_name":"Shanghai Rising-Star Program","ror":null},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W1542915664","https://openalex.org/W1557415002","https://openalex.org/W1606480398","https://openalex.org/W1707592146","https://openalex.org/W1970323954","https://openalex.org/W1979342465","https://openalex.org/W2000096140","https://openalex.org/W2011059145","https://openalex.org/W2031167130","https://openalex.org/W2035289644","https://openalex.org/W2058219874","https://openalex.org/W2126577387","https://openalex.org/W2133781910","https://openalex.org/W2140369345","https://openalex.org/W2141716068","https://openalex.org/W2141939862","https://openalex.org/W2142818558","https://openalex.org/W2143019587","https://openalex.org/W2143798392","https://openalex.org/W2147235039","https://openalex.org/W2161070052","https://openalex.org/W2164334465","https://openalex.org/W2171508712","https://openalex.org/W2319012906","https://openalex.org/W2475875755","https://openalex.org/W2732251371","https://openalex.org/W2963427995","https://openalex.org/W2979363856","https://openalex.org/W3101755205","https://openalex.org/W3102307572","https://openalex.org/W3130620557","https://openalex.org/W3190828231","https://openalex.org/W4248289108","https://openalex.org/W4249844765"],"related_works":["https://openalex.org/W2114124567","https://openalex.org/W2998724919","https://openalex.org/W161787318","https://openalex.org/W1997883919","https://openalex.org/W1968682565","https://openalex.org/W2963982375","https://openalex.org/W2042372008","https://openalex.org/W2376326551","https://openalex.org/W38661524","https://openalex.org/W4298824844"],"abstract_inverted_index":{"Due":[0],"to":[1,11,29,133],"wide":[2],"applications":[3],"of":[4,15,39,45,51,94,114,129,138,145,168,198,206,213,240,271],"binary":[5,32,139,207],"sequences":[6,17,33,140,170,208,224,239,258,273],"with":[7,34,141,209,236],"a":[8,62,108,142,210,260,264],"low":[9,143,211],"correlation":[10,144,181,212,262],"communications,":[12],"various":[13,35],"constructions":[14,42],"such":[16],"have":[18,26,230,259],"been":[19,27],"proposed":[20],"in":[21,76],"the":[22,40,46,95,196,203,237,268],"literature.":[23],"Many":[24],"efforts":[25],"made":[28],"construct":[30],"good":[31],"lengths.":[36],"However,":[37],"most":[38],"known":[41],"make":[43,127],"use":[44,128],"multiplicative":[47],"cyclic":[48,109,131],"group":[49],"structure":[50,110,132],"finite":[52],"field":[53,98],"<inline-formula":[54,65,81,100,116,147,158,173,186,215,242,250],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[55,66,82,101,117,148,159,174,187,216,243,251],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[56,67,83,102,118,149,160,175,188,217,244,252],"<tex-math":[57,68,84,103,119,150,161,176,189,218,245,253],"notation=\"LaTeX\">$\\mathbb":[58,104,162],"{F}_{2^{n}}$":[59,105,163],"</tex-math></inline-formula>":[60,70,86,106,121,152,164,178,193,220,247,255],"for":[61,248],"positive":[63],"integer":[64],"notation=\"LaTeX\">$n$":[69,254],".":[71,122,165,194,221],"It":[72],"is":[73,182,202,274],"often":[74],"overlooked":[75],"this":[77,124,130,201],"community":[78],"that":[79],"all":[80],"notation=\"LaTeX\">$2^{n}+1$":[85,120,151,219],"rational":[87,96],"places":[88],"(including":[89],"\u201cthe":[90],"place":[91],"at":[92],"infinity\u201d)":[93],"function":[97,155],"over":[99,157],"form":[107],"under":[111],"an":[112,135],"automorphism":[113],"order":[115],"In":[123,233],"paper,":[125],"we":[126],"provide":[134],"explicit":[136],"construction":[137,205],"length":[146,214,241,266],"via":[153],"cyclotomic":[154],"fields":[156],"Each":[166],"family":[167,269],"our":[169,199,223,257,272],"has":[171],"size":[172,270],"notation=\"LaTeX\">$2^{n}-1$":[177,246],"and":[179,229,263],"its":[180],"upper":[183],"bounded":[184],"by":[185],"notation=\"LaTeX\">$\\lfloor":[190],"2^{(n+2)/2}\\rfloor":[191],"$":[192],"To":[195],"best":[197],"knowledge,":[200],"first":[204],"Moreover,":[222],"can":[225],"be":[226],"constructed":[227],"explicitly":[228],"competitive":[231],"parameters.":[232],"particular,":[234],"compared":[235],"Gold":[238],"even":[249],",":[256],"smaller":[261],"larger":[265],"although":[267],"slightly":[275],"smaller.":[276]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}