{"id":"https://openalex.org/W7147167166","doi":"https://doi.org/10.1109/iwsda67899.2025.11457411","title":"On the Chaotic Behavior of Integer Sequences from Linear Feedback Shift Registers","display_name":"On the Chaotic Behavior of Integer Sequences from Linear Feedback Shift Registers","publication_year":2025,"publication_date":"2025-12-07","ids":{"openalex":"https://openalex.org/W7147167166","doi":"https://doi.org/10.1109/iwsda67899.2025.11457411"},"language":null,"primary_location":{"id":"doi:10.1109/iwsda67899.2025.11457411","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwsda67899.2025.11457411","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 11th International Workshop on Signal Design and Its Applications in Communications (IWSDA)","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/A5030189822","display_name":"Hyojeong Choi","orcid":"https://orcid.org/0000-0003-2305-5111"},"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":"Hyojeong Choi","raw_affiliation_strings":["Yonsei University,Department of Electrical and Electronic Engineering,Seoul,Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yonsei University,Department of Electrical and Electronic Engineering,Seoul,Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"middle","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":["Yonsei University,Department of Electrical and Electronic Engineering,Seoul,Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yonsei University,Department of Electrical and Electronic Engineering,Seoul,Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5132614727","display_name":"Hong-Yeop Song","orcid":null},"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":["Yonsei University,Department of Electrical and Electronic Engineering,Seoul,Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Yonsei University,Department of Electrical and Electronic Engineering,Seoul,Korea","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5093767705","display_name":"Hongjun Noh","orcid":"https://orcid.org/0000-0001-6138-742X"},"institutions":[{"id":"https://openalex.org/I206093572","display_name":"Nexen (Canada)","ror":"https://ror.org/04zwxgg32","country_code":"CA","type":"company","lineage":["https://openalex.org/I206093572"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Hongjun Noh","raw_affiliation_strings":["LIG Nex1,Department of C4I R&#x0026;D Center,Gyeonggi-do,Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"LIG Nex1,Department of C4I R&#x0026;D Center,Gyeonggi-do,Korea","institution_ids":["https://openalex.org/I206093572"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.70910744,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"4"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.868399977684021,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.868399977684021,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.04619999974966049,"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":0.04050000011920929,"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/chaotic","display_name":"Chaotic","score":0.6862999796867371},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6773999929428101},{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.6539999842643738},{"id":"https://openalex.org/keywords/shift-register","display_name":"Shift register","score":0.5734000205993652},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5281000137329102},{"id":"https://openalex.org/keywords/connection","display_name":"Connection (principal bundle)","score":0.49239999055862427},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.48559999465942383},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4004000127315521}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.695900022983551},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6862999796867371},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6773999929428101},{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.6539999842643738},{"id":"https://openalex.org/C49654631","wikidata":"https://www.wikidata.org/wiki/Q746165","display_name":"Shift register","level":3,"score":0.5734000205993652},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5281000137329102},{"id":"https://openalex.org/C13355873","wikidata":"https://www.wikidata.org/wiki/Q2920850","display_name":"Connection (principal bundle)","level":2,"score":0.49239999055862427},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.48559999465942383},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4675999879837036},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4004000127315521},{"id":"https://openalex.org/C18762648","wikidata":"https://www.wikidata.org/wiki/Q42213","display_name":"Work (physics)","level":2,"score":0.399399995803833},{"id":"https://openalex.org/C55689738","wikidata":"https://www.wikidata.org/wiki/Q15963867","display_name":"Discrete time and continuous time","level":2,"score":0.3935000002384186},{"id":"https://openalex.org/C159862308","wikidata":"https://www.wikidata.org/wiki/Q681101","display_name":"Linear feedback shift register","level":4,"score":0.3515999913215637},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.33649998903274536},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.32170000672340393},{"id":"https://openalex.org/C79379906","wikidata":"https://www.wikidata.org/wiki/Q3174497","display_name":"Dynamical systems theory","level":2,"score":0.299699991941452},{"id":"https://openalex.org/C33962884","wikidata":"https://www.wikidata.org/wiki/Q378637","display_name":"Dynamical system (definition)","level":3,"score":0.2944999933242798},{"id":"https://openalex.org/C6802819","wikidata":"https://www.wikidata.org/wiki/Q1072174","display_name":"Linear system","level":2,"score":0.2939999997615814},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.2863999903202057},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27489998936653137},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25949999690055847},{"id":"https://openalex.org/C60640748","wikidata":"https://www.wikidata.org/wiki/Q2337858","display_name":"Lyapunov function","level":3,"score":0.25839999318122864},{"id":"https://openalex.org/C2987469083","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic systems","level":3,"score":0.2542000114917755}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iwsda67899.2025.11457411","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwsda67899.2025.11457411","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2025 11th International Workshop on Signal Design and Its Applications in Communications (IWSDA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1480210121","https://openalex.org/W1723697988","https://openalex.org/W1775527311","https://openalex.org/W2001426628","https://openalex.org/W2010006328","https://openalex.org/W2102688401","https://openalex.org/W2103314937","https://openalex.org/W2122271717","https://openalex.org/W2166934960","https://openalex.org/W2473193397","https://openalex.org/W3003721113","https://openalex.org/W3036299984","https://openalex.org/W3045032477","https://openalex.org/W3120566145","https://openalex.org/W3179500823","https://openalex.org/W4312632710","https://openalex.org/W4380451180","https://openalex.org/W4399039295","https://openalex.org/W4401907645","https://openalex.org/W4412030533"],"related_works":[],"abstract_inverted_index":{"This":[0],"work":[1],"investigates":[2],"the":[3,29,39,51,57,67,81],"chaotic":[4],"behavior":[5],"of":[6,28,56,83],"integer":[7],"sequences":[8,41],"generated":[9],"by":[10,60],"<tex":[11,33,75],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[12,34,76],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$L$</tex>-stage":[13],"linear":[14],"feedback":[15],"shift":[16],"registers":[17],"(LFSRs)":[18],"with":[19],"irreducible":[20],"connection":[21],"polynomials.":[22],"By":[23],"interpreting":[24],"each":[25],"internal":[26],"state":[27],"LFSR":[30],"as":[31,74],"an":[32],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$L$</tex>-bit":[35],"integer,":[36],"we":[37,49],"analyze":[38],"resulting":[40],"from":[42],"a":[43,71],"dynamical":[44],"systems":[45],"perspective.":[46],"In":[47],"particular,":[48],"examine":[50],"discrete":[52,84],"Lyapunov":[53],"exponent":[54],"(dLE)":[55],"permutations":[58],"induced":[59],"these":[61],"sequences.":[62],"Theoretical":[63],"analysis":[64],"shows":[65],"that":[66],"dLE":[68],"converges":[69],"to":[70],"positive":[72],"value":[73],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$L$</tex>":[77],"increases,":[78],"thereby":[79],"satisfying":[80],"definition":[82],"chaos.":[85]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-04-02T00:00:00"}