{"id":"https://openalex.org/W4312558935","doi":"https://doi.org/10.1109/tit.2022.3222527","title":"Statistical Span Property of Binary Run Sequences","display_name":"Statistical Span Property of Binary Run Sequences","publication_year":2022,"publication_date":"2022-11-16","ids":{"openalex":"https://openalex.org/W4312558935","doi":"https://doi.org/10.1109/tit.2022.3222527"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2022.3222527","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3222527","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/A5083411461","display_name":"Gangsan Kim","orcid":"https://orcid.org/0000-0002-0635-0007"},"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":"Gangsan Kim","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea"],"raw_orcid":"https://orcid.org/0000-0002-0635-0007","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, 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":["School of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea"],"raw_orcid":"https://orcid.org/0000-0001-8764-9424","affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.1387,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56848981,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"69","issue":"4","first_page":"2713","last_page":"2721"},"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/T11567","display_name":"semigroups and automata theory","score":0.9997000098228455,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9995999932289124,"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/notation","display_name":"Notation","score":0.6559433937072754},{"id":"https://openalex.org/keywords/tuple","display_name":"Tuple","score":0.5988112688064575},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5133561491966248},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4896419644355774},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39110156893730164},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37240201234817505},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.18565747141838074}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6559433937072754},{"id":"https://openalex.org/C118930307","wikidata":"https://www.wikidata.org/wiki/Q600590","display_name":"Tuple","level":2,"score":0.5988112688064575},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5133561491966248},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4896419644355774},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39110156893730164},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37240201234817505},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.18565747141838074}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2022.3222527","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2022.3222527","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1667462784","display_name":null,"funder_award_id":"2020R1A2C2011969","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W1480210121","https://openalex.org/W1723697988","https://openalex.org/W1745342855","https://openalex.org/W1963489261","https://openalex.org/W2012378226","https://openalex.org/W2042731207","https://openalex.org/W2049710951","https://openalex.org/W2074930237","https://openalex.org/W2118501123","https://openalex.org/W2206474474","https://openalex.org/W2551168410","https://openalex.org/W2592570088","https://openalex.org/W2616363446","https://openalex.org/W4240666298","https://openalex.org/W4243205024","https://openalex.org/W4301169897"],"related_works":["https://openalex.org/W2143551613","https://openalex.org/W4245395944","https://openalex.org/W1979740464","https://openalex.org/W2138823233","https://openalex.org/W2143345456","https://openalex.org/W2023236823","https://openalex.org/W1789991335","https://openalex.org/W2562731034","https://openalex.org/W2101053337","https://openalex.org/W38661524"],"abstract_inverted_index":{"We":[0,49,100,135],"define":[1],"run":[2,59,89,124],"sequences":[3,15,39,60,90],"of":[4,19,21,25,40,54,61,84,91,126,150],"period":[5,41,62,92,127],"<inline-formula":[6,42,63,72,93,103,128,140,153],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[7,43,64,73,94,104,129,141,154],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[8,44,65,74,95,105,130,142,155],"<tex-math":[9,45,66,75,96,106,131,143,156],"notation=\"LaTeX\">$2^{n}-1$":[10,46,67,97,132],"</tex-math></inline-formula>":[11,47,68,77,98,108,133,145,158],"as":[12,30,139],"the":[13,17,33,52,56,81,88,102,147],"binary":[14],"where":[16],"distribution":[18],"runs":[20,24],"0\u2019s":[22],"and":[23],"1\u2019s":[26],"is":[27],"exactly":[28,120],"same":[29],"that":[31,118],"for":[32],"maximal":[34],"length":[35],"linear":[36],"shift":[37],"resister":[38],".":[48,69,99,134],"first":[50],"count":[51],"number":[53,83,112,149],"all":[55,87],"cyclically":[57],"distinct":[58],"For":[70],"each":[71],"notation=\"LaTeX\">$n$":[76,107,144,157],"-tuple,":[78],"we":[79],"consider":[80],"average":[82,111,148],"occurrences":[85],"over":[86],"identify":[101],"-tuples":[109],"with":[110],"1":[113],"and,":[114],"in":[115,122],"particular,":[116],"those":[117],"occur":[119],"once":[121],"every":[123,151],"sequence":[125],"finally":[136],"prove":[137],"that,":[138],"increases,":[146],"non-zero":[152],"-tuple":[159],"approaches":[160],"to":[161],"1.":[162]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
