{"id":"https://openalex.org/W2113688179","doi":"https://doi.org/10.1109/tit.2010.2046250","title":"Finding Matching Initial States for Equivalent NLFSRs in the Fibonacci and the Galois Configurations","display_name":"Finding Matching Initial States for Equivalent NLFSRs in the Fibonacci and the Galois Configurations","publication_year":2010,"publication_date":"2010-05-27","ids":{"openalex":"https://openalex.org/W2113688179","doi":"https://doi.org/10.1109/tit.2010.2046250","mag":"2113688179"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2010.2046250","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2046250","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/A5011438358","display_name":"Elena Dubrova","orcid":"https://orcid.org/0000-0001-7382-9408"},"institutions":[{"id":"https://openalex.org/I86987016","display_name":"KTH Royal Institute of Technology","ror":"https://ror.org/026vcq606","country_code":"SE","type":"education","lineage":["https://openalex.org/I86987016"]}],"countries":["SE"],"is_corresponding":true,"raw_author_name":"Elena Dubrova","raw_affiliation_strings":["ECS/ICT/KTH, Royal Institute of Technology, Stockholm, Sweden","ECS/ICT/KTH, R. Inst. of Technol. (KTH), Stockholm, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ECS/ICT/KTH, Royal Institute of Technology, Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]},{"raw_affiliation_string":"ECS/ICT/KTH, R. Inst. of Technol. (KTH), Stockholm, Sweden","institution_ids":["https://openalex.org/I86987016"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5011438358"],"corresponding_institution_ids":["https://openalex.org/I86987016"],"apc_list":null,"apc_paid":null,"fwci":1.9725,"has_fulltext":false,"cited_by_count":40,"citation_normalized_percentile":{"value":0.89226777,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"56","issue":"6","first_page":"2961","last_page":"2966"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9990000128746033,"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":0.9990000128746033,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9976000189781189,"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":0.9958000183105469,"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/fibonacci-number","display_name":"Fibonacci number","score":0.9450685977935791},{"id":"https://openalex.org/keywords/shift-register","display_name":"Shift register","score":0.6379315257072449},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6323912143707275},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5851081013679504},{"id":"https://openalex.org/keywords/galois-theory","display_name":"Galois theory","score":0.5360038876533508},{"id":"https://openalex.org/keywords/galois-group","display_name":"Galois group","score":0.5320331454277039},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4559415578842163},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4536927342414856},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43730175495147705},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.34486111998558044},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19952651858329773},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.09988495707511902},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06028279662132263}],"concepts":[{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.9450685977935791},{"id":"https://openalex.org/C49654631","wikidata":"https://www.wikidata.org/wiki/Q746165","display_name":"Shift register","level":3,"score":0.6379315257072449},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6323912143707275},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5851081013679504},{"id":"https://openalex.org/C94398972","wikidata":"https://www.wikidata.org/wiki/Q92552","display_name":"Galois theory","level":2,"score":0.5360038876533508},{"id":"https://openalex.org/C67536143","wikidata":"https://www.wikidata.org/wiki/Q730384","display_name":"Galois group","level":2,"score":0.5320331454277039},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4559415578842163},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4536927342414856},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43730175495147705},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.34486111998558044},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19952651858329773},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.09988495707511902},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06028279662132263},{"id":"https://openalex.org/C165005293","wikidata":"https://www.wikidata.org/wiki/Q1074500","display_name":"Chip","level":2,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2010.2046250","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2046250","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:CiteSeerX.psu:10.1.1.244.6578","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.244.6578","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/0903.3182v1.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W64760530","https://openalex.org/W1480210121","https://openalex.org/W1513645801","https://openalex.org/W1519692838","https://openalex.org/W1551875162","https://openalex.org/W1554885925","https://openalex.org/W1572199847","https://openalex.org/W1602113401","https://openalex.org/W1655397264","https://openalex.org/W1827311732","https://openalex.org/W1911657985","https://openalex.org/W2007453203","https://openalex.org/W2043565230","https://openalex.org/W2048731540","https://openalex.org/W2058219874","https://openalex.org/W2059491481","https://openalex.org/W2064759901","https://openalex.org/W2076397729","https://openalex.org/W2096356985","https://openalex.org/W2103352188","https://openalex.org/W2107285942","https://openalex.org/W2120629199","https://openalex.org/W2141060521","https://openalex.org/W2153126169","https://openalex.org/W2155569323","https://openalex.org/W2162442687","https://openalex.org/W2402291927","https://openalex.org/W2798986369","https://openalex.org/W3099826813","https://openalex.org/W3146347581","https://openalex.org/W3151245374","https://openalex.org/W4234875403","https://openalex.org/W4394925238"],"related_works":["https://openalex.org/W2730690530","https://openalex.org/W2189024741","https://openalex.org/W329225561","https://openalex.org/W2899204428","https://openalex.org/W4300952403","https://openalex.org/W2952351442","https://openalex.org/W2560116635","https://openalex.org/W2957052640","https://openalex.org/W2952169589","https://openalex.org/W2066449478"],"abstract_inverted_index":{"The":[0,42,60,80],"Fibonacci":[1,51,92],"and":[2,52,93],"the":[3,15,17,22,26,31,33,50,53,76,83,91,94],"Galois":[4,54,95],"configurations":[5,55,65,96],"of":[6,25,47,86],"nonlinear":[7],"feedback":[8,18,34],"shift":[9,27],"registers":[10],"(NLFSRs)":[11],"are":[12],"considered.":[13],"In":[14,30],"former,":[16],"is":[19,97],"applied":[20,38],"to":[21,39,68,71,74],"input":[23],"bit":[24],"register":[28],"only.":[29],"latter,":[32],"can":[35],"potentially":[36],"be":[37,69],"every":[40],"bit.":[41],"sufficient":[43],"conditions":[44],"for":[45],"equivalence":[46],"NLFSRs":[48,62,89],"in":[49,63,90,99],"have":[56,67],"been":[57],"formulated":[58],"previously.":[59],"equivalent":[61,88],"different":[64,72],"normally":[66],"initialized":[70],"states":[73,85],"generate":[75],"same":[77],"output":[78],"sequences.":[79],"mapping":[81],"between":[82],"initial":[84],"two":[87],"derived":[98],"this":[100],"paper.":[101]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":3},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
