{"id":"https://openalex.org/W4289713049","doi":"https://doi.org/10.1109/isit50566.2022.9834495","title":"Nonsingularity of Galois Nonlinear Feedback Shift Registers","display_name":"Nonsingularity of Galois Nonlinear Feedback Shift Registers","publication_year":2022,"publication_date":"2022-06-26","ids":{"openalex":"https://openalex.org/W4289713049","doi":"https://doi.org/10.1109/isit50566.2022.9834495"},"language":"en","primary_location":{"id":"doi:10.1109/isit50566.2022.9834495","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834495","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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/A5017515353","display_name":"Yingyin Pan","orcid":null},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]},{"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":"Yingyin Pan","raw_affiliation_strings":["Institute of Information Engineering, Chinese Academy of Sciences,State Key Laboratory of Information Security,Beijing,China,100093","School of Cyber Security, University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering, Chinese Academy of Sciences,State Key Laboratory of Information Security,Beijing,China,100093","institution_ids":["https://openalex.org/I4210156404","https://openalex.org/I19820366","https://openalex.org/I4391768012"]},{"raw_affiliation_string":"School of Cyber Security, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100704772","display_name":"Jianghua Zhong","orcid":"https://orcid.org/0000-0001-5576-6319"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]},{"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":false,"raw_author_name":"Jianghua Zhong","raw_affiliation_strings":["Institute of Information Engineering, Chinese Academy of Sciences,State Key Laboratory of Information Security,Beijing,China,100093","School of Cyber Security, University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering, Chinese Academy of Sciences,State Key Laboratory of Information Security,Beijing,China,100093","institution_ids":["https://openalex.org/I4210156404","https://openalex.org/I19820366","https://openalex.org/I4391768012"]},{"raw_affiliation_string":"School of Cyber Security, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008820992","display_name":"Dongdai Lin","orcid":"https://orcid.org/0000-0002-3951-7889"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"government","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I4210156404","display_name":"Institute of Information Engineering","ror":"https://ror.org/04r53se39","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210156404"]},{"id":"https://openalex.org/I4210165038","display_name":"University of Chinese Academy of Sciences","ror":"https://ror.org/05qbk4x57","country_code":"CN","type":"education","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210165038"]},{"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":false,"raw_author_name":"Dongdai Lin","raw_affiliation_strings":["Institute of Information Engineering, Chinese Academy of Sciences,State Key Laboratory of Information Security,Beijing,China,100093","School of Cyber Security, University of Chinese Academy of Sciences, Beijing, China"],"affiliations":[{"raw_affiliation_string":"Institute of Information Engineering, Chinese Academy of Sciences,State Key Laboratory of Information Security,Beijing,China,100093","institution_ids":["https://openalex.org/I4210156404","https://openalex.org/I19820366","https://openalex.org/I4391768012"]},{"raw_affiliation_string":"School of Cyber Security, University of Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210165038"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5017515353"],"corresponding_institution_ids":["https://openalex.org/I19820366","https://openalex.org/I4210156404","https://openalex.org/I4210165038","https://openalex.org/I4391768012"],"apc_list":null,"apc_paid":null,"fwci":0.4406,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.56018883,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"366","last_page":"371"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9764000177383423,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},"topics":[{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9764000177383423,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T12772","display_name":"Control and Stability of Dynamical Systems","score":0.9546999931335449,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9458000063896179,"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/shift-register","display_name":"Shift register","score":0.5668696165084839},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5599060654640198},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4633975327014923},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3491336703300476},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.10187086462974548},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08254754543304443}],"concepts":[{"id":"https://openalex.org/C49654631","wikidata":"https://www.wikidata.org/wiki/Q746165","display_name":"Shift register","level":3,"score":0.5668696165084839},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5599060654640198},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4633975327014923},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3491336703300476},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.10187086462974548},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08254754543304443},{"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/C165005293","wikidata":"https://www.wikidata.org/wiki/Q1074500","display_name":"Chip","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit50566.2022.9834495","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit50566.2022.9834495","pdf_url":null,"source":{"id":"https://openalex.org/S4363604560","display_name":"2022 IEEE International Symposium on Information Theory (ISIT)","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":"conference"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2022 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5199999809265137,"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W2058219874","https://openalex.org/W2076397729","https://openalex.org/W2592570088","https://openalex.org/W2910291694","https://openalex.org/W2971505607","https://openalex.org/W3197008673","https://openalex.org/W3208651639","https://openalex.org/W4254948851","https://openalex.org/W6669469872"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"Nonlinear":[0],"feedback":[1],"shift":[2],"registers":[3],"(NFSRs)":[4],"are":[5,43,75,96],"used":[6,33],"in":[7],"many":[8],"stream":[9,23],"ciphers":[10,24],"as":[11],"their":[12,32],"main":[13],"building":[14],"blocks.":[15],"One":[16],"security":[17],"criterion":[18],"for":[19,54,61,78,84,104],"the":[20,28,46,67,101],"design":[21],"of":[22,31,40,69],"is":[25,51,59],"to":[26],"assure":[27],"output":[29],"sequences":[30,42],"NFSRs":[34,95,106],"have":[35],"long":[36],"periods.":[37],"The":[38,49],"periodicity":[39],"those":[41],"guaranteed":[44],"by":[45],"NFSRs\u2019":[47],"nonsingularity.":[48],"nonsingularity":[50,68],"well":[52],"solved":[53],"Fibonacci":[55,105],"NFSRs,":[56,81],"whereas":[57],"it":[58],"not":[60],"Galois":[62,70,80,89,94,108],"ones.":[63,109],"This":[64],"paper":[65],"considers":[66],"NFSRs.":[71,90],"Some":[72],"necessary":[73],"conditions":[74],"presented,":[76],"first":[77],"general":[79],"and":[82,86],"then":[83],"submaximum":[85],"maximum":[87],"length":[88],"Moreover,":[91],"both":[92],"particular":[93],"enumerated.":[97],"All":[98],"these":[99],"extend":[100],"known":[102],"results":[103],"into":[107]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
