{"id":"https://openalex.org/W2112171984","doi":"https://doi.org/10.1109/tit.1983.1056710","title":"Characterizing the autocorrelations of binary sequences","display_name":"Characterizing the autocorrelations of binary sequences","publication_year":1983,"publication_date":"1983-07-01","ids":{"openalex":"https://openalex.org/W2112171984","doi":"https://doi.org/10.1109/tit.1983.1056710","mag":"2112171984"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1983.1056710","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1983.1056710","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/A5100732023","display_name":"Julia Carvalho","orcid":"https://orcid.org/0000-0003-4236-6740"},"institutions":[{"id":"https://openalex.org/I182534213","display_name":"Universidade do Porto","ror":"https://ror.org/043pwc612","country_code":"PT","type":"education","lineage":["https://openalex.org/I182534213"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"J. Martins de Carvalho","raw_affiliation_strings":["Department of Electrical Engineering, Faculdade deEngenharia, Universidade do Porto, Porto, Portugal"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Faculdade deEngenharia, Universidade do Porto, Porto, Portugal","institution_ids":["https://openalex.org/I182534213"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101571307","display_name":"Jonathan R. Clark","orcid":"https://orcid.org/0000-0003-1209-772X"},"institutions":[{"id":"https://openalex.org/I47508984","display_name":"Imperial College London","ror":"https://ror.org/041kmwe10","country_code":"GB","type":"education","lineage":["https://openalex.org/I47508984"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"J. Clark","raw_affiliation_strings":["Department of Electrical Engineering, Imperial College London, London, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Imperial College London, London, UK","institution_ids":["https://openalex.org/I47508984"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2645,"currency":"USD","value_usd":2645},"apc_paid":null,"fwci":2.6361,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.91769912,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":"29","issue":"4","first_page":"502","last_page":"508"},"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":0.9980999827384949,"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/T10849","display_name":"Finite Group Theory Research","score":0.9776999950408936,"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/autocorrelation","display_name":"Autocorrelation","score":0.7414194345474243},{"id":"https://openalex.org/keywords/extreme-point","display_name":"Extreme point","score":0.7386994361877441},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6686897277832031},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6619608402252197},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5889782309532166},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.5840953588485718},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5430563688278198},{"id":"https://openalex.org/keywords/binary-data","display_name":"Binary data","score":0.4965248703956604},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.47896888852119446},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4661102890968323},{"id":"https://openalex.org/keywords/pseudorandom-binary-sequence","display_name":"Pseudorandom binary sequence","score":0.41383129358291626},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3879486918449402},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18806055188179016},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.14816150069236755},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13288530707359314},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.09243032336235046}],"concepts":[{"id":"https://openalex.org/C5297727","wikidata":"https://www.wikidata.org/wiki/Q786970","display_name":"Autocorrelation","level":2,"score":0.7414194345474243},{"id":"https://openalex.org/C39847760","wikidata":"https://www.wikidata.org/wiki/Q1385465","display_name":"Extreme point","level":2,"score":0.7386994361877441},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6686897277832031},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6619608402252197},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5889782309532166},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.5840953588485718},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5430563688278198},{"id":"https://openalex.org/C2779190172","wikidata":"https://www.wikidata.org/wiki/Q4913888","display_name":"Binary data","level":3,"score":0.4965248703956604},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.47896888852119446},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4661102890968323},{"id":"https://openalex.org/C128040838","wikidata":"https://www.wikidata.org/wiki/Q1810628","display_name":"Pseudorandom binary sequence","level":3,"score":0.41383129358291626},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3879486918449402},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18806055188179016},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.14816150069236755},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13288530707359314},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.09243032336235046},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.1983.1056710","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1983.1056710","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"},{"id":"pmh:oai:repositorio-aberto.up.pt:10216/91765","is_oa":false,"landing_page_url":"https://repositorio-aberto.up.pt/handle/10216/91765","pdf_url":null,"source":{"id":"https://openalex.org/S4306402433","display_name":"Portuguese National Funding Agency for Science, Research and Technology (RCAAP Project by FCT)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"journal article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320335065","display_name":"National Centre for Biological Sciences","ror":"https://ror.org/03gf8rp76"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1995570217","https://openalex.org/W2028790127","https://openalex.org/W2060759090","https://openalex.org/W2079145130","https://openalex.org/W2085234537","https://openalex.org/W2128777897","https://openalex.org/W2131024393","https://openalex.org/W2148574462"],"related_works":["https://openalex.org/W2138245574","https://openalex.org/W2352578510","https://openalex.org/W2159523247","https://openalex.org/W2056684980","https://openalex.org/W2137919901","https://openalex.org/W1542390284","https://openalex.org/W1971002625","https://openalex.org/W2076216432","https://openalex.org/W2060419675","https://openalex.org/W4300248901"],"abstract_inverted_index":{"The":[0],"class":[1,76],"of":[2,5,12,21,24,41,50,64,66,77,79],"autocorrelation":[3],"functions":[4],"binary":[6,39,80],"sequences":[7,40,81],"is":[8],"studied":[9],"in":[10],"terms":[11],"their":[13],"finite-dimensional":[14],"projections;":[15],"that":[16],"is,":[17],"the":[18,48,51,58,74],"vector":[19],"ranges":[20],"finite":[22],"sets":[23],"consecutive":[25],"correlation":[26],"coefficients.":[27],"These":[28],"are":[29,45,55,82],"convex":[30],"polyhedra":[31],"whose":[32],"extreme":[33,52,59],"points":[34,60],"can":[35],"be":[36],"generated":[37],"by":[38],"bounded":[42],"periods.":[43],"Algorithms":[44],"given":[46],"for":[47,57],"calculation":[49],"points.":[53],"Tables":[54],"presented":[56],"and":[61],"supporting":[62],"hyperplanes":[63],"projections":[65],"dimensions":[67],"up":[68],"to":[69],"five.":[70],"Some":[71],"conclusions":[72],"about":[73],"general":[75],"autocorrelations":[78],"drawn":[83],"from":[84],"these":[85],"tables.":[86]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}