{"id":"https://openalex.org/W3081287412","doi":"https://doi.org/10.1109/isit44484.2020.9174001","title":"New Optimal Sets of Perfect Polyphase Sequences Based on Circular Florentine Arrays","display_name":"New Optimal Sets of Perfect Polyphase Sequences Based on Circular Florentine Arrays","publication_year":2020,"publication_date":"2020-06-01","ids":{"openalex":"https://openalex.org/W3081287412","doi":"https://doi.org/10.1109/isit44484.2020.9174001","mag":"3081287412"},"language":"en","primary_location":{"id":"doi:10.1109/isit44484.2020.9174001","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit44484.2020.9174001","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"conference-paper","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":["University of Bergen,Bergen,Norway,N-5020","University of Bergen, Bergen, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bergen,Bergen,Norway,N-5020","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"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":["University of Bergen,Bergen,Norway,N-5020","University of Bergen, Bergen, Norway"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Bergen,Bergen,Norway,N-5020","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"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":0.575,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.69576836,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"2921","last_page":"2925"},"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":0.9995999932289124,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9959999918937683,"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/polyphase-system","display_name":"Polyphase system","score":0.9785332083702087},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6757656335830688},{"id":"https://openalex.org/keywords/complementary-sequences","display_name":"Complementary sequences","score":0.633255660533905},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6318960189819336},{"id":"https://openalex.org/keywords/synchronization","display_name":"Synchronization (alternating current)","score":0.5582383275032043},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5407145023345947},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.5231094360351562},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.50652015209198},{"id":"https://openalex.org/keywords/greatest-common-divisor","display_name":"Greatest common divisor","score":0.49886322021484375},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4546230137348175},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4317215383052826},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42013972997665405},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38585996627807617},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24638864398002625},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17720618844032288},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16993281245231628},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06839483976364136}],"concepts":[{"id":"https://openalex.org/C96157337","wikidata":"https://www.wikidata.org/wiki/Q391639","display_name":"Polyphase system","level":2,"score":0.9785332083702087},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6757656335830688},{"id":"https://openalex.org/C32795469","wikidata":"https://www.wikidata.org/wiki/Q5156430","display_name":"Complementary sequences","level":2,"score":0.633255660533905},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6318960189819336},{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.5582383275032043},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5407145023345947},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.5231094360351562},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.50652015209198},{"id":"https://openalex.org/C125257309","wikidata":"https://www.wikidata.org/wiki/Q131752","display_name":"Greatest common divisor","level":2,"score":0.49886322021484375},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4546230137348175},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4317215383052826},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42013972997665405},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38585996627807617},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24638864398002625},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17720618844032288},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16993281245231628},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06839483976364136},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit44484.2020.9174001","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit44484.2020.9174001","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2020 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.44999998807907104,"display_name":"Climate action","id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1545693521","https://openalex.org/W2006296282","https://openalex.org/W2015049075","https://openalex.org/W2032685643","https://openalex.org/W2039100862","https://openalex.org/W2066530892","https://openalex.org/W2074214232","https://openalex.org/W2089189820","https://openalex.org/W2116211855","https://openalex.org/W2129792960","https://openalex.org/W2130080747","https://openalex.org/W2154892217","https://openalex.org/W2155416100","https://openalex.org/W2160674712","https://openalex.org/W2169756076","https://openalex.org/W2245631212","https://openalex.org/W2791849547","https://openalex.org/W4243205024","https://openalex.org/W6632647675"],"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/W1994945227","https://openalex.org/W2121656470","https://openalex.org/W2158790829","https://openalex.org/W3081287412"],"abstract_inverted_index":{"Families":[0],"of":[1,41,70,83,92,101,105,124],"periodic":[2],"sequences":[3,53,73,107],"with":[4,74,111],"some":[5],"desirable":[6],"auto-correlation":[7],"and":[8,15,54],"cross-correlation":[9],"properties":[10],"have":[11],"applications":[12],"in":[13],"communications":[14],"radar":[16],"systems":[17],"for":[18],"identification,":[19],"synchronization,":[20],"ranging,":[21],"or":[22],"interference":[23],"mitigation.":[24],"A":[25],"sequence":[26,33],"is":[27,87,108],"said":[28],"to":[29,76],"be":[30],"a":[31,48,97],"polyphase":[32,72],"if":[34],"all":[35],"the":[36,77,81,84,90,99,112,116,120,125],"coordinates":[37],"are":[38],"n-th":[39],"roots":[40],"unity.":[42],"In":[43],"this":[44,62],"paper,":[45],"we":[46,64],"develop":[47],"connection":[49],"between":[50],"generalised":[51],"Frank":[52],"well-studied":[55],"combinatorial":[56],"objects:":[57],"circular":[58,93],"Florentine":[59,94],"arrays.":[60,95],"From":[61],"connection,":[63],"can":[65],"derive":[66],"an":[67,102],"optimal":[68,85,103],"set":[69,86,104],"perfect":[71,106],"respect":[75],"Sarvate":[78],"bound.":[79],"Furthermore,":[80],"size":[82,100,117],"determined":[88],"by":[89],"existence":[91],"As":[96],"result,":[98],"increased,":[109],"compared":[110],"previous":[113],"results,":[114],"where":[115],"depends":[118],"on":[119],"smallest":[121],"prime":[122],"divisor":[123],"period.":[126]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}