{"id":"https://openalex.org/W4386066801","doi":"https://doi.org/10.1109/isit54713.2023.10206924","title":"Optimal Uncorrelated Polyphase ZCZ Sequences over an Alphabet of Minimum size","display_name":"Optimal Uncorrelated Polyphase ZCZ Sequences over an Alphabet of Minimum size","publication_year":2023,"publication_date":"2023-06-25","ids":{"openalex":"https://openalex.org/W4386066801","doi":"https://doi.org/10.1109/isit54713.2023.10206924"},"language":"en","primary_location":{"id":"doi:10.1109/isit54713.2023.10206924","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit54713.2023.10206924","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/A5083411461","display_name":"Gangsan Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I2799667316","display_name":"Republic of Korea Army","ror":"https://ror.org/0331rkj73","country_code":"KR","type":"government","lineage":["https://openalex.org/I2799667316"]},{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":true,"raw_author_name":"Gangsan Kim","raw_affiliation_strings":["Yonsei University,Seoul,South Korea","ROK Army Training and Doctrine Command, Dajeon, South Korea","Yonsei University, Seoul, South Korea"],"affiliations":[{"raw_affiliation_string":"Yonsei University,Seoul,South Korea","institution_ids":["https://openalex.org/I193775966"]},{"raw_affiliation_string":"ROK Army Training and Doctrine Command, Dajeon, South Korea","institution_ids":["https://openalex.org/I2799667316"]},{"raw_affiliation_string":"Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5030189822","display_name":"Hyojeong Choi","orcid":"https://orcid.org/0000-0003-2305-5111"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hyojeong Choi","raw_affiliation_strings":["Yonsei University,Seoul,South Korea","Yonsei University, Seoul, South Korea"],"affiliations":[{"raw_affiliation_string":"Yonsei University,Seoul,South Korea","institution_ids":["https://openalex.org/I193775966"]},{"raw_affiliation_string":"Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049800854","display_name":"Dae-Kyeong Kim","orcid":"https://orcid.org/0000-0003-0553-7010"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Dae-Kyeong Kim","raw_affiliation_strings":["Yonsei University,Seoul,South Korea","Yonsei University, Seoul, South Korea"],"affiliations":[{"raw_affiliation_string":"Yonsei University,Seoul,South Korea","institution_ids":["https://openalex.org/I193775966"]},{"raw_affiliation_string":"Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010430171","display_name":"Wonjun Kim","orcid":"https://orcid.org/0000-0001-5121-5931"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Wonjun Kim","raw_affiliation_strings":["Yonsei University,Seoul,South Korea","Yonsei University, Seoul, South Korea"],"affiliations":[{"raw_affiliation_string":"Yonsei University,Seoul,South Korea","institution_ids":["https://openalex.org/I193775966"]},{"raw_affiliation_string":"Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100588120","display_name":"Xiaoxiang Jin","orcid":null},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Xiaoxiang Jin","raw_affiliation_strings":["Yonsei University,Seoul,South Korea","Yonsei University, Seoul, South Korea"],"affiliations":[{"raw_affiliation_string":"Yonsei University,Seoul,South Korea","institution_ids":["https://openalex.org/I193775966"]},{"raw_affiliation_string":"Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049042666","display_name":"Hong\u2010Yeop Song","orcid":"https://orcid.org/0000-0001-8764-9424"},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hong-Yeop Song","raw_affiliation_strings":["Yonsei University,Seoul,South Korea","Yonsei University, Seoul, South Korea"],"affiliations":[{"raw_affiliation_string":"Yonsei University,Seoul,South Korea","institution_ids":["https://openalex.org/I193775966"]},{"raw_affiliation_string":"Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5083411461"],"corresponding_institution_ids":["https://openalex.org/I193775966","https://openalex.org/I2799667316"],"apc_list":null,"apc_paid":null,"fwci":0.3497,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.65087081,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"897","last_page":"902"},"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/T10575","display_name":"Wireless Communication Networks Research","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9998000264167786,"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":0.9495960474014282},{"id":"https://openalex.org/keywords/uncorrelated","display_name":"Uncorrelated","score":0.853909432888031},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.6974048614501953},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4802432358264923},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4773041009902954},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.44181764125823975},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4028316140174866},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.27503103017807007},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.096407949924469},{"id":"https://openalex.org/keywords/electronic-engineering","display_name":"Electronic engineering","score":0.08664274215698242}],"concepts":[{"id":"https://openalex.org/C96157337","wikidata":"https://www.wikidata.org/wiki/Q391639","display_name":"Polyphase system","level":2,"score":0.9495960474014282},{"id":"https://openalex.org/C169345407","wikidata":"https://www.wikidata.org/wiki/Q8216221","display_name":"Uncorrelated","level":2,"score":0.853909432888031},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.6974048614501953},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4802432358264923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4773041009902954},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.44181764125823975},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4028316140174866},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.27503103017807007},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.096407949924469},{"id":"https://openalex.org/C24326235","wikidata":"https://www.wikidata.org/wiki/Q126095","display_name":"Electronic engineering","level":1,"score":0.08664274215698242},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit54713.2023.10206924","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit54713.2023.10206924","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2023 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":38,"referenced_works":["https://openalex.org/W1021079091","https://openalex.org/W1948164978","https://openalex.org/W1965850177","https://openalex.org/W2005161187","https://openalex.org/W2007059697","https://openalex.org/W2019448666","https://openalex.org/W2024674802","https://openalex.org/W2032685643","https://openalex.org/W2066530892","https://openalex.org/W2069304655","https://openalex.org/W2094454616","https://openalex.org/W2100484490","https://openalex.org/W2102007574","https://openalex.org/W2107855478","https://openalex.org/W2111471727","https://openalex.org/W2129792960","https://openalex.org/W2135733034","https://openalex.org/W2140452533","https://openalex.org/W2155416100","https://openalex.org/W2169756076","https://openalex.org/W2183591858","https://openalex.org/W2245631212","https://openalex.org/W2294688254","https://openalex.org/W2519552828","https://openalex.org/W2592680288","https://openalex.org/W2607807584","https://openalex.org/W2774112030","https://openalex.org/W2791849547","https://openalex.org/W2883687818","https://openalex.org/W2977224592","https://openalex.org/W3136834678","https://openalex.org/W3163505986","https://openalex.org/W3195363332","https://openalex.org/W4205228026","https://openalex.org/W4243205024","https://openalex.org/W4315815734","https://openalex.org/W4384931030","https://openalex.org/W6791752584"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4243016812","https://openalex.org/W2363918075","https://openalex.org/W2792461516","https://openalex.org/W2128153108","https://openalex.org/W2078977451","https://openalex.org/W2025377125","https://openalex.org/W2020874007","https://openalex.org/W3081812942","https://openalex.org/W2153811048"],"abstract_inverted_index":{"In":[0],"this":[1,55],"paper,":[2],"we":[3],"derive":[4,69],"a":[5,95,114],"lower":[6],"bound":[7,52,56],"on":[8],"the":[9,13,39,58,75,101],"alphabet":[10,50,60],"size":[11,51,61],"of":[12,74,77,84,109],"optimal":[14,31,40,81,105],"uncorrelated":[15,32,106],"polyphase":[16,33],"ZCZ":[17,34,41,82,107],"sequence":[18,35,86,96],"families,":[19],"assuming":[20],"that":[21,54],"Mow\u2019s":[22,63,78],"Conjecture":[23],"is":[24,57,65,90,112],"true.":[25],"We":[26,67],"also":[27,68],"propose":[28],"some":[29,70],"new":[30],"families":[36,46],"for":[37],"all":[38,100],"parameters.":[42],"All":[43],"our":[44,48],"proposed":[45,49],"achieve":[47],"so":[53],"minimum":[59],"(assuming":[62],"conjecture":[64],"true).":[66],"interesting":[71],"facts":[72],"regardless":[73],"truth":[76],"Conjecture:":[79],"an":[80,104],"family":[83,108],"normalized":[85,110],"(not":[87],"necessarily":[88],"uncorrelated)":[89],"always":[91,113],"periodic":[92],"complementary;":[93],"therefore,":[94],"generated":[97],"by":[98],"interleaving":[99],"sequences":[102,111],"in":[103],"perfect":[115],"sequence.":[116]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}