{"id":"https://openalex.org/W2156237015","doi":"https://doi.org/10.1109/tit.2011.2111110","title":"Sequence Families With Low Correlation Derived From Multiplicative and Additive Characters","display_name":"Sequence Families With Low Correlation Derived From Multiplicative and Additive Characters","publication_year":2011,"publication_date":"2011-03-15","ids":{"openalex":"https://openalex.org/W2156237015","doi":"https://doi.org/10.1109/tit.2011.2111110","mag":"2156237015"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2011.2111110","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2111110","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/A5055490949","display_name":"Kai\u2010Uwe Schmidt","orcid":"https://orcid.org/0000-0003-0528-6290"},"institutions":[{"id":"https://openalex.org/I18014758","display_name":"Simon Fraser University","ror":"https://ror.org/0213rcc28","country_code":"CA","type":"education","lineage":["https://openalex.org/I18014758"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Kai-Uwe Schmidt","raw_affiliation_strings":["Department of Mathematics, Simon Fraser University, Burnaby, BC, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Simon Fraser University, Burnaby, BC, Canada","institution_ids":["https://openalex.org/I18014758"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5055490949"],"corresponding_institution_ids":["https://openalex.org/I18014758"],"apc_list":null,"apc_paid":null,"fwci":3.1913,"has_fulltext":false,"cited_by_count":27,"citation_normalized_percentile":{"value":0.92583399,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"57","issue":"4","first_page":"2291","last_page":"2294"},"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":0.9836000204086304,"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/T10849","display_name":"Finite Group Theory Research","score":0.980400025844574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5291479229927063},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.19496580958366394}],"concepts":[{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5291479229927063},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.19496580958366394},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2011.2111110","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2111110","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1489774662","https://openalex.org/W1556443961","https://openalex.org/W2006337912","https://openalex.org/W2103780699","https://openalex.org/W2111881861","https://openalex.org/W2113837857","https://openalex.org/W2138548210","https://openalex.org/W2154031692","https://openalex.org/W2171404777","https://openalex.org/W3105686860","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W4318195686","https://openalex.org/W2975999359","https://openalex.org/W4287173569","https://openalex.org/W2796561647","https://openalex.org/W4280497496","https://openalex.org/W4313513739","https://openalex.org/W3119693376","https://openalex.org/W3182422617","https://openalex.org/W2244208494","https://openalex.org/W4313557239"],"abstract_inverted_index":{"For":[0],"integerrsatisfying":[1],"0":[2],"\u2264r\u2264p-2,":[3],"a":[4,54,62,96,116,124],"sequence":[5,25],"family":[6,43,91],"\u03a9rof":[7],"polyphase":[8],"sequences":[9,49],"of":[10,56,61,120,132],"prime":[11,63],"periodp,":[12],"size":[13,44],"(p-2)pr,":[14],"and":[15,45,58,88,101,113,129],"maximum":[16,46,76,106],"correlation":[17,107],"at":[18],"most":[19],"2":[20],"+(r+1)":[21],"\u221a(p)is":[22],"presented.":[23],"The":[24,48],"families":[26],"are":[27,70],"nested,":[28],"that":[29],"is,":[30],"\u03a9ris":[31],"contained":[32],"in":[33,50],"\u03a9r+":[34],"1,":[35],"which":[36,82],"provides":[37],"design":[38,98],"flexibility":[39],"with":[40],"respect":[41],"to":[42,73,95],"correlation.":[47,77],"\u03a9rare":[51],"derived":[52],"from":[53,110],"combination":[55],"multiplicative":[57],"additive":[59],"characters":[60],"field.":[64],"Estimates":[65],"on":[66],"hybrid":[67],"character":[68],"sums":[69],"then":[71],"used":[72],"bound":[74,134],"the":[75,133],"This":[78],"construction":[79],"generalizes":[80],"\u03a90,":[81],"was":[83],"previously":[84],"proposed":[85],"by":[86,99],"Scholtz":[87],"Welch.":[89],"Sequence":[90],"\u03a92is":[92],"closely":[93],"related":[94],"recent":[97],"Wang":[100],"Gong,":[102],"who":[103],"bounded":[104],"its":[105],"using":[108],"methods":[109],"representation":[111],"theory":[112],"asked":[114],"for":[115],"more":[117],"direct":[118],"proof":[119,125],"this":[121],"bound.":[122],"Such":[123],"is":[126,135],"given":[127],"here":[128],"an":[130],"improvement":[131],"provided.":[136]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
