{"id":"https://openalex.org/W4393194757","doi":"https://doi.org/10.1051/ita/2024008","title":"Finding automatic sequences with few correlations","display_name":"Finding automatic sequences with few correlations","publication_year":2024,"publication_date":"2024-01-01","ids":{"openalex":"https://openalex.org/W4393194757","doi":"https://doi.org/10.1051/ita/2024008"},"language":"en","primary_location":{"id":"doi:10.1051/ita/2024008","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1051/ita/2024008","pdf_url":"https://www.rairo-ita.org/articles/ita/pdf/2024/01/ita220054.pdf","source":{"id":"https://openalex.org/S4220651353","display_name":"RAIRO. Theoretical informatics and applications","issn_l":"2804-7346","issn":["2804-7346"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://www.rairo-ita.org/articles/ita/pdf/2024/01/ita220054.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5035130036","display_name":"Vincent Jug\u00e9","orcid":"https://orcid.org/0000-0003-0834-9082"},"institutions":[{"id":"https://openalex.org/I4210152518","display_name":"Laboratoire d'Informatique Gaspard-Monge","ror":"https://ror.org/04t50yk91","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I142631665","https://openalex.org/I4210145102","https://openalex.org/I4210152518","https://openalex.org/I4210154111","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I4210154111","display_name":"Universit\u00e9 Gustave Eiffel","ror":"https://ror.org/03x42jk29","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210154111"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Vincent Jug\u00e9","raw_affiliation_strings":["Univ Gustave Eiffel, CNRS, LIGM, F-77454 Marne-la-Vall\u00e9e, France"],"affiliations":[{"raw_affiliation_string":"Univ Gustave Eiffel, CNRS, LIGM, F-77454 Marne-la-Vall\u00e9e, France","institution_ids":["https://openalex.org/I4210152518","https://openalex.org/I1294671590","https://openalex.org/I4210154111"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105782656","display_name":"Ir\u00e8ne Marcovici","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I62396329","display_name":"Universit\u00e9 de Rouen Normandie","ror":"https://ror.org/03nhjew95","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I62396329"]},{"id":"https://openalex.org/I4210105918","display_name":"Normandie Universit\u00e9","ror":"https://ror.org/01k40cz91","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Ir\u00e8ne Marcovici","raw_affiliation_strings":["Univ Rouen Normandie, CNRS, Normandie Univ, LMRS UMR 6085, F-76000 Rouen, France"],"affiliations":[{"raw_affiliation_string":"Univ Rouen Normandie, CNRS, Normandie Univ, LMRS UMR 6085, F-76000 Rouen, France","institution_ids":["https://openalex.org/I62396329","https://openalex.org/I1294671590","https://openalex.org/I4210105918"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5035130036"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I4210152518","https://openalex.org/I4210154111"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.03084122,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"58","issue":null,"first_page":"10","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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/T11567","display_name":"semigroups and automata theory","score":0.9998000264167786,"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"}},{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9983999729156494,"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/uncorrelated","display_name":"Uncorrelated","score":0.8344138860702515},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.747695803642273},{"id":"https://openalex.org/keywords/pseudorandom-binary-sequence","display_name":"Pseudorandom binary sequence","score":0.7357061505317688},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6700725555419922},{"id":"https://openalex.org/keywords/complementary-sequences","display_name":"Complementary sequences","score":0.6697473526000977},{"id":"https://openalex.org/keywords/binary-golay-code","display_name":"Binary Golay code","score":0.668778657913208},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6644531488418579},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6125203967094421},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.5812093019485474},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5518451929092407},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48864680528640747},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4582681953907013},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.42073720693588257},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.2900519073009491},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.24219655990600586}],"concepts":[{"id":"https://openalex.org/C169345407","wikidata":"https://www.wikidata.org/wiki/Q8216221","display_name":"Uncorrelated","level":2,"score":0.8344138860702515},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.747695803642273},{"id":"https://openalex.org/C128040838","wikidata":"https://www.wikidata.org/wiki/Q1810628","display_name":"Pseudorandom binary sequence","level":3,"score":0.7357061505317688},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6700725555419922},{"id":"https://openalex.org/C32795469","wikidata":"https://www.wikidata.org/wiki/Q5156430","display_name":"Complementary sequences","level":2,"score":0.6697473526000977},{"id":"https://openalex.org/C165293857","wikidata":"https://www.wikidata.org/wiki/Q1534522","display_name":"Binary Golay code","level":2,"score":0.668778657913208},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6644531488418579},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6125203967094421},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.5812093019485474},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5518451929092407},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48864680528640747},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4582681953907013},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.42073720693588257},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2900519073009491},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.24219655990600586},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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},{"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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1051/ita/2024008","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1051/ita/2024008","pdf_url":"https://www.rairo-ita.org/articles/ita/pdf/2024/01/ita220054.pdf","source":{"id":"https://openalex.org/S4220651353","display_name":"RAIRO. Theoretical informatics and applications","issn_l":"2804-7346","issn":["2804-7346"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-04522641v1","is_oa":true,"landing_page_url":"https://hal.science/hal-04522641","pdf_url":"https://hal.science/hal-04522641/document","source":{"id":"https://openalex.org/S4406922466","display_name":"SPIRE - Sciences Po Institutional REpository","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":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"RAIRO - Theoretical Informatics and Applications (RAIRO: ITA), 2024, 58, pp.10. ⟨10.1051/ita/2024008⟩","raw_type":"Journal articles"},{"id":"pmh:oai:edpsciences.org:dkey/10.1051/ita/2024008","is_oa":true,"landing_page_url":null,"pdf_url":"https://www.rairo-ita.org/10.1051/ita/2024008/pdf","source":{"id":"https://openalex.org/S4306400744","display_name":"Springer Link (Chiba Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I8488066","host_organization_name":"Chiba Institute of Technology","host_organization_lineage":["https://openalex.org/I8488066"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"https://doi.org/10.1051/ita/2024008","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.1051/ita/2024008","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1051/ita/2024008","pdf_url":"https://www.rairo-ita.org/articles/ita/pdf/2024/01/ita220054.pdf","source":{"id":"https://openalex.org/S4220651353","display_name":"RAIRO. Theoretical informatics and applications","issn_l":"2804-7346","issn":["2804-7346"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"RAIRO - Theoretical Informatics and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W4393194757.pdf"},"referenced_works_count":8,"referenced_works":["https://openalex.org/W1968289272","https://openalex.org/W1980335012","https://openalex.org/W1998347421","https://openalex.org/W2574867047","https://openalex.org/W2963084560","https://openalex.org/W3046036396","https://openalex.org/W3105929431","https://openalex.org/W4238159413"],"related_works":["https://openalex.org/W2359988188","https://openalex.org/W2028812061","https://openalex.org/W2094398455","https://openalex.org/W3150133249","https://openalex.org/W2119943750","https://openalex.org/W2017017227","https://openalex.org/W2057483203","https://openalex.org/W2021544025","https://openalex.org/W2408953402","https://openalex.org/W2160179902"],"abstract_inverted_index":{"Although":[0],"automatic":[1,16,48],"sequences":[2,17,49,73,101,109],"are":[3,23,75],"algorithmically":[4],"very":[5],"simple,":[6],"some":[7,15],"of":[8,35,46,64,81,94,98,102,110],"them":[9],"have":[10,31],"pseudorandom":[11],"properties.":[12],"In":[13],"particular,":[14],"such":[18],"as":[19,38,56],"the":[20,32,44,79,95],"Golay\u2013Shapiro":[21],"sequence":[22],"known":[24],"to":[25],"be":[26],"2-uncorrelated,":[27],"meaning":[28],"that":[29,74],"they":[30],"same":[33],"correlations":[34],"order":[36],"2":[37],"a":[39,61,91],"uniform":[40],"random":[41],"sequence.":[42],"However,":[43],"existence":[45],"\u2113-uncorrelated":[47],"(for":[50],"\u2113":[51],"\u2a7e":[52],"3)":[53],"was":[54],"left":[55],"an":[57,86],"open":[58],"question":[59],"in":[60],"recent":[62],"paper":[63],"Marcovici,":[65],"Stoll":[66],"and":[67,107],"Tahay.":[68],"We":[69],"exhibit":[70],"binary":[71,99],"block-additive":[72,100],"3-uncorrelated":[76],"and,":[77],"with":[78],"help":[80],"analytical":[82],"results":[83],"supplemented":[84],"by":[85],"exhaustive":[87],"search,":[88],"we":[89],"present":[90],"complete":[92],"picture":[93],"correlation":[96],"properties":[97],"rank":[103,111],"r":[104,112],"\u2a7d":[105,113],"5,":[106],"ternary":[108],"3.":[114]},"counts_by_year":[],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2025-10-10T00:00:00"}