{"id":"https://openalex.org/W4210385924","doi":"https://doi.org/10.1109/tit.2022.3147073","title":"Sequences With Good Correlations Based on Circular Florentine Arrays","display_name":"Sequences With Good Correlations Based on Circular Florentine Arrays","publication_year":2022,"publication_date":"2022-01-27","ids":{"openalex":"https://openalex.org/W4210385924","doi":"https://doi.org/10.1109/tit.2022.3147073"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3147073","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3147073","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/A5100455988","display_name":"Dan Zhang","orcid":"https://orcid.org/0000-0001-5684-9618"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Dan Zhang","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, Norway"],"raw_orcid":"https://orcid.org/0000-0001-5684-9618","affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5026698531","display_name":"Tor Helleseth","orcid":"https://orcid.org/0000-0003-1290-3541"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Tor Helleseth","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, Norway"],"raw_orcid":"https://orcid.org/0000-0003-1290-3541","affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4432739"],"apc_list":null,"apc_paid":null,"fwci":0.5249,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.68979191,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"68","issue":"5","first_page":"3381","last_page":"3388"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9958999752998352,"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/sequence","display_name":"Sequence (biology)","score":0.7894241809844971},{"id":"https://openalex.org/keywords/polyphase-system","display_name":"Polyphase system","score":0.7870144248008728},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7500623464584351},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6621893644332886},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.6191709041595459},{"id":"https://openalex.org/keywords/complementary-sequences","display_name":"Complementary sequences","score":0.6096172332763672},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6043784022331238},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5814639329910278},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.47197800874710083},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.4461482763290405},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.40021541714668274},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36818382143974304},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1470234990119934},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08451706171035767},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06598711013793945}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7894241809844971},{"id":"https://openalex.org/C96157337","wikidata":"https://www.wikidata.org/wiki/Q391639","display_name":"Polyphase system","level":2,"score":0.7870144248008728},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7500623464584351},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6621893644332886},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.6191709041595459},{"id":"https://openalex.org/C32795469","wikidata":"https://www.wikidata.org/wiki/Q5156430","display_name":"Complementary sequences","level":2,"score":0.6096172332763672},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6043784022331238},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5814639329910278},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.47197800874710083},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.4461482763290405},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.40021541714668274},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36818382143974304},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1470234990119934},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08451706171035767},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06598711013793945},{"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},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2022.3147073","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3147073","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/G503565750","display_name":null,"funder_award_id":"247742/O70","funder_id":"https://openalex.org/F4320323299","funder_display_name":"Norges Forskningsr\u00e5d"}],"funders":[{"id":"https://openalex.org/F4320323299","display_name":"Norges Forskningsr\u00e5d","ror":"https://ror.org/00epmv149"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":39,"referenced_works":["https://openalex.org/W1498857388","https://openalex.org/W1974001562","https://openalex.org/W2002556956","https://openalex.org/W2006296282","https://openalex.org/W2007059697","https://openalex.org/W2015049075","https://openalex.org/W2019448666","https://openalex.org/W2032685643","https://openalex.org/W2039100862","https://openalex.org/W2047785219","https://openalex.org/W2066530892","https://openalex.org/W2074214232","https://openalex.org/W2089189820","https://openalex.org/W2091068176","https://openalex.org/W2122951240","https://openalex.org/W2127353661","https://openalex.org/W2129792960","https://openalex.org/W2135539585","https://openalex.org/W2138548210","https://openalex.org/W2140452533","https://openalex.org/W2154892217","https://openalex.org/W2155416100","https://openalex.org/W2159338674","https://openalex.org/W2160674712","https://openalex.org/W2161616900","https://openalex.org/W2168142490","https://openalex.org/W2169756076","https://openalex.org/W2171626412","https://openalex.org/W2245631212","https://openalex.org/W2757393540","https://openalex.org/W2791849547","https://openalex.org/W2977224592","https://openalex.org/W2990320749","https://openalex.org/W3036852798","https://openalex.org/W3150224009","https://openalex.org/W4205545339","https://openalex.org/W4243205024","https://openalex.org/W4293263215","https://openalex.org/W6629762766"],"related_works":["https://openalex.org/W1969707263","https://openalex.org/W2014546418","https://openalex.org/W3022426770","https://openalex.org/W1985553952","https://openalex.org/W2038838181","https://openalex.org/W2177712032","https://openalex.org/W2930265575","https://openalex.org/W2066530892","https://openalex.org/W2150280325","https://openalex.org/W2149599731"],"abstract_inverted_index":{"Sequences":[0],"and":[1,23,115],"their":[2,11],"correlation":[3,42,52,74],"properties":[4],"have":[5],"been":[6],"extensively":[7],"studied":[8],"due":[9],"to":[10,34,55,111,139],"broad":[12],"applications.":[13],"In":[14,123],"this":[15],"paper,":[16],"we":[17],"develop":[18],"a":[19],"connection":[20,31],"between":[21],"sequences":[22,39,49,71,127],"well-studied":[24],"combinatorial":[25],"objects,":[26],"circular":[27,80,166],"Florentine":[28,81,167],"arrays.":[29,168],"This":[30],"allows":[32],"us":[33],"derive":[35],"two":[36,126],"types":[37],"of":[38,48,69,79,150,162,165],"with":[40,53,72,98,109,137,144,154],"good":[41],"properties.":[43],"The":[44,67,89],"first":[45],"type":[46,91],"consists":[47],"having":[50],"optimal":[51,73,108,134,155],"respect":[54,110,138],"the":[56,77,85,112,140,145,148,163],"Sarwate":[57,141],"bound.":[58,142],"Our":[59],"constructions":[60],"are":[61],"based":[62],"on":[63,76],"perfect":[64,70],"polyphase":[65],"sequences.":[66],"number":[68,149],"depends":[75],"existence":[78,164],"arrays,":[82],"which":[83],"improves":[84],"previous":[86,146],"known":[87],"results.":[88],"second":[90],"is":[92,107,121,159],"about":[93],"multiple":[94],"ZCZ":[95,104,130,151],"sequence":[96,105,117,131,152],"sets":[97,132,153],"low":[99],"inter-set":[100,135,156],"cross-correlation.":[101],"Each":[102],"generated":[103],"set":[106,120],"Tang-Fan-Matsufuji":[113],"bound,":[114],"each":[116,119],"in":[118],"perfect.":[122],"addition,":[124],"any":[125],"from":[128],"distinct":[129],"possess":[133],"cross-correlation":[136,157],"Compared":[143],"results,":[147],"property":[158],"improved,":[160],"because":[161]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
