{"id":"https://openalex.org/W271420439","doi":null,"title":"Multiplication of sequences with zero autocorrelation","display_name":"Multiplication of sequences with zero autocorrelation","publication_year":1994,"publication_date":"1994-01-01","ids":{"openalex":"https://openalex.org/W271420439","mag":"271420439"},"language":"en","primary_location":{"id":"pmh:oai:ro.uow.edu.au:infopapers-2105","doi":null,"is_oa":true,"landing_page_url":"https://ro.uow.edu.au/infopapers/1089","pdf_url":"https://ro.uow.edu.au/infopapers/1089","source":{"id":"https://openalex.org/S4306400510","display_name":"Research Online (University of Wollongong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I204824540","host_organization_name":"University of Wollongong","host_organization_lineage":["https://openalex.org/I204824540"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty of Informatics - Papers (Archive)","raw_type":"article"},"volume":null,"type":"article","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://ro.uow.edu.au/infopapers/1089","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001849682","display_name":"Christos Koukouvinos","orcid":"https://orcid.org/0000-0003-1907-2031","observed_orcids":["https://orcid.org/0000-0003-1907-2031"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Christos Koukouvinos","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0003-1907-2031","affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5010893538","display_name":"Stratis Kounias","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Stratis Kounias","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111483595","display_name":"Jennifer Seberry","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jennifer Seberry","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100602447","display_name":"Chen Yang","orcid":"https://orcid.org/0000-0001-7906-2420","observed_orcids":["https://orcid.org/0000-0001-7906-2420"]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Chen Yang","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0001-7906-2420","affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5113813792","display_name":"Joel Yang","orcid":null,"observed_orcids":[]},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Joel Yang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.2221,"has_fulltext":true,"cited_by_count":16,"citation_normalized_percentile":{"value":0.90820643,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":93},"biblio":{"volume":"10","issue":null,"first_page":"5","last_page":"16"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9750999808311462,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9750999808311462,"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"}},{"id":"https://openalex.org/T11166","display_name":"Analytic Number Theory Research","score":0.0038999998942017555,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.0027000000700354576,"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/golay-sequences","display_name":"Golay sequences","score":0.9909999966621399},{"id":"https://openalex.org/keywords/base-sequence","display_name":"base sequence","score":0.7799999713897705},{"id":"https://openalex.org/keywords/sums-of-four-squares","display_name":"sums of four squares","score":0.6650000214576721}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7815553545951843},{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.7808009386062622},{"id":"https://openalex.org/C2780813799","wikidata":"https://www.wikidata.org/wiki/Q3274237","display_name":"Zero (linguistics)","level":2,"score":0.6523835062980652},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.6464444994926453},{"id":"https://openalex.org/C165293857","wikidata":"https://www.wikidata.org/wiki/Q1534522","display_name":"Binary Golay code","level":2,"score":0.6446337103843689},{"id":"https://openalex.org/C32795469","wikidata":"https://www.wikidata.org/wiki/Q5156430","display_name":"Complementary sequences","level":2,"score":0.6411944031715393},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.629541277885437},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.4614850878715515},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4416360855102539},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4194117784500122},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39105820655822754},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28441524505615234},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.19633394479751587},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.1428384780883789},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10779199004173279},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:ro.uow.edu.au:infopapers-2105","doi":null,"is_oa":true,"landing_page_url":"https://ro.uow.edu.au/infopapers/1089","pdf_url":"https://ro.uow.edu.au/infopapers/1089","source":{"id":"https://openalex.org/S4306400510","display_name":"Research Online (University of Wollongong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I204824540","host_organization_name":"University of Wollongong","host_organization_lineage":["https://openalex.org/I204824540"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty of Informatics - Papers (Archive)","raw_type":"article"},{"id":"pmh:oai:figshare.com:article/27846108","doi":null,"is_oa":false,"landing_page_url":"https://figshare.com/articles/journal_contribution/Multiplication_of_sequences_with_zero_autocorrelation/27846108","pdf_url":null,"source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Text"},{"id":"mag:271420439","doi":null,"is_oa":false,"landing_page_url":"https://ajc.maths.uq.edu.au/pdf/10/ocr-ajc-v10-p5.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306503796","display_name":"Australas. J Comb.","issn_l":"2202-3518","issn":["2202-3518"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["cwts-core","doaj","dongbi-d","jufo-1","poland-70","russia-white-list-3"],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":"Australas. J Comb.","raw_type":null}],"best_oa_location":{"id":"pmh:oai:ro.uow.edu.au:infopapers-2105","doi":null,"is_oa":true,"landing_page_url":"https://ro.uow.edu.au/infopapers/1089","pdf_url":"https://ro.uow.edu.au/infopapers/1089","source":{"id":"https://openalex.org/S4306400510","display_name":"Research Online (University of Wollongong)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I204824540","host_organization_name":"University of Wollongong","host_organization_lineage":["https://openalex.org/I204824540"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Faculty of Informatics - Papers (Archive)","raw_type":"article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W271420439.pdf","grobid_xml":"https://content.openalex.org/works/W271420439.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W345501370","https://openalex.org/W578123792","https://openalex.org/W588058887","https://openalex.org/W1534449133","https://openalex.org/W1969945850","https://openalex.org/W1971099020","https://openalex.org/W2012641766","https://openalex.org/W2014778994","https://openalex.org/W2077614546"],"related_works":["https://openalex.org/W7037981113","https://openalex.org/W1969945850","https://openalex.org/W1675176677","https://openalex.org/W4414684999","https://openalex.org/W1984581406","https://openalex.org/W2156396434","https://openalex.org/W2098624007","https://openalex.org/W7099918678","https://openalex.org/W3154932078","https://openalex.org/W7099683246"],"abstract_inverted_index":{"Near":[0],"normal":[1,23],"sequences":[2,24,27,44],"of":[3,21,32,66],"new":[4,69,72],"lengths":[5,46],"n":[6,78],"=":[7,11,57],"4m":[8],"+":[9,48,51],"1":[10,58],"49,53,57":[12],"are":[13,68],"constructed.":[14],"The":[15],"relation":[16],"between":[17],"a":[18],"special":[19],"set":[20],"near":[22],"and":[25,59,79],"Golay":[26],"is":[28,38],"discussed.":[29],"A":[30],"reformulation":[31],"Yang's":[33],"powerful":[34],"theorems":[35],"on":[36],"T-sequences":[37],"also":[39],"given.":[40],"We":[41],"give":[42],"base":[43],"for":[45,55,77,82],"m":[47,50,54,60],"p,":[49,52],"m,":[53],"p":[56],"\u0454":[61],"{19,":[62],"...":[63],",30}.":[64],"Some":[65],"these":[67],"lengths,":[70],"or":[71],"decompositions":[73],"into":[74],"four":[75],"squares":[76],"constructed":[80],"here":[81],"the":[83],"first":[84],"time.":[85]},"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2016-06-24T00:00:00"}