{"id":"https://openalex.org/W2560859956","doi":"https://doi.org/10.1109/isit.2004.1365159","title":"Asymptotic behavior of normalized linear complexity of ultimately non-periodic binary sequences","display_name":"Asymptotic behavior of normalized linear complexity of ultimately non-periodic binary sequences","publication_year":2004,"publication_date":"2004-12-23","ids":{"openalex":"https://openalex.org/W2560859956","doi":"https://doi.org/10.1109/isit.2004.1365159","mag":"2560859956"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2004.1365159","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365159","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","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/A5111801965","display_name":"Zongduo Dai","orcid":"https://orcid.org/0009-0002-2685-0161"},"institutions":[{"id":"https://openalex.org/I4391768012","display_name":"State Key Laboratory of Information Security","ror":"https://ror.org/012cr4033","country_code":null,"type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404","https://openalex.org/I4391768012"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Zongduo Dai","raw_affiliation_strings":["Grad. Sch. of CAS, State Key Laboratory of Information Security, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Grad. Sch. of CAS, State Key Laboratory of Information Security, Beijing, China","institution_ids":["https://openalex.org/I4391768012"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5084928289","display_name":"Shaoquan Jiang","orcid":"https://orcid.org/0000-0001-8114-0782"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Shaoquan Jiang","raw_affiliation_strings":["Department of E&CE, University of Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Department of E&CE, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110327181","display_name":"Kyoki Imamura","orcid":null},"institutions":[{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"K. Imamura","raw_affiliation_strings":["Department of CSE, Kyushu Institute of Technology, Japan"],"affiliations":[{"raw_affiliation_string":"Department of CSE, Kyushu Institute of Technology, Japan","institution_ids":["https://openalex.org/I207014233"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036636567","display_name":"Guang Gong","orcid":"https://orcid.org/0000-0003-2684-9259"},"institutions":[{"id":"https://openalex.org/I151746483","display_name":"University of Waterloo","ror":"https://ror.org/01aff2v68","country_code":"CA","type":"education","lineage":["https://openalex.org/I151746483"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Guang Gong","raw_affiliation_strings":["Department of E&CE, University of Waterloo, Canada"],"affiliations":[{"raw_affiliation_string":"Department of E&CE, University of Waterloo, Canada","institution_ids":["https://openalex.org/I151746483"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111801965"],"corresponding_institution_ids":["https://openalex.org/I4391768012"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.36058657,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"122","last_page":"122"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9993000030517578,"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/T11567","display_name":"semigroups and automata theory","score":0.9984999895095825,"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/pseudorandom-binary-sequence","display_name":"Pseudorandom binary sequence","score":0.7959187626838684},{"id":"https://openalex.org/keywords/shift-register","display_name":"Shift register","score":0.7790149450302124},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.7493977546691895},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6796420812606812},{"id":"https://openalex.org/keywords/periodic-sequence","display_name":"Periodic sequence","score":0.604755699634552},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5707332491874695},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.500568151473999},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.47964125871658325},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.4676131010055542},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.446199893951416},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4184223413467407},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.410269558429718},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3934813141822815},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37336742877960205},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34097129106521606},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1432972550392151},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.13199231028556824},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11553356051445007},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.08622267842292786},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.06906053423881531}],"concepts":[{"id":"https://openalex.org/C128040838","wikidata":"https://www.wikidata.org/wiki/Q1810628","display_name":"Pseudorandom binary sequence","level":3,"score":0.7959187626838684},{"id":"https://openalex.org/C49654631","wikidata":"https://www.wikidata.org/wiki/Q746165","display_name":"Shift register","level":3,"score":0.7790149450302124},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.7493977546691895},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6796420812606812},{"id":"https://openalex.org/C120241303","wikidata":"https://www.wikidata.org/wiki/Q3503302","display_name":"Periodic sequence","level":2,"score":0.604755699634552},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5707332491874695},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.500568151473999},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.47964125871658325},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.4676131010055542},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.446199893951416},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4184223413467407},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.410269558429718},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3934813141822815},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37336742877960205},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34097129106521606},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1432972550392151},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.13199231028556824},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11553356051445007},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.08622267842292786},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.06906053423881531},{"id":"https://openalex.org/C165005293","wikidata":"https://www.wikidata.org/wiki/Q1074500","display_name":"Chip","level":2,"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2004.1365159","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365159","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1480210121","https://openalex.org/W1586944506","https://openalex.org/W2045667991","https://openalex.org/W2058219874","https://openalex.org/W2089836926","https://openalex.org/W2130129774","https://openalex.org/W6628761390"],"related_works":["https://openalex.org/W2359988188","https://openalex.org/W940111385","https://openalex.org/W2348496033","https://openalex.org/W2979766560","https://openalex.org/W2021629284","https://openalex.org/W2071728797","https://openalex.org/W4321517976","https://openalex.org/W2017017227","https://openalex.org/W2354120711","https://openalex.org/W2560859956"],"abstract_inverted_index":{"This":[0],"paper":[1,47],"describes":[2],"the":[3,26,29,55],"asymptotic":[4],"behavior":[5],"of":[6,10,18,28],"normalized":[7],"linear":[8,16,31],"complexity":[9,17],"ultimately":[11],"nonperiodic":[12],"binary":[13],"sequence.":[14,69],"The":[15,39],"s/sup":[19,37],"n/,":[20],"L/sub":[21],"s/(n),":[22],"is":[23],"defined":[24],"as":[25],"length":[27],"shortest":[30],"feedback":[32],"shift":[33],"register":[34],"which":[35],"generates":[36],"n/.":[38],"research":[40],"method":[41],"and":[42,59],"results":[43],"studied":[44],"in":[45,53],"this":[46],"seem":[48],"to":[49],"be":[50],"very":[51],"useful":[52],"characterizing":[54],"purely":[56],"random":[57,68],"sequence":[58],"distinguishing":[60],"a":[61,66],"key":[62],"stream":[63],"generator":[64],"from":[65],"uniformly":[67]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}