{"id":"https://openalex.org/W2062919090","doi":"https://doi.org/10.1109/tit.2014.2310748","title":"The Properties of a Class of Linear FSRs and Their Applications to the Construction of Nonlinear FSRs","display_name":"The Properties of a Class of Linear FSRs and Their Applications to the Construction of Nonlinear FSRs","publication_year":2014,"publication_date":"2014-03-11","ids":{"openalex":"https://openalex.org/W2062919090","doi":"https://doi.org/10.1109/tit.2014.2310748","mag":"2062919090"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2310748","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2310748","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/A5030695669","display_name":"Chaoyun Li","orcid":"https://orcid.org/0000-0001-9917-3419"},"institutions":[{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]},{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["CN","NO"],"is_corresponding":true,"raw_author_name":"Chaoyun Li","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, Norway","Faculty of Mathematics and Statistics, Hubei University, Wuhan, China","Fac. of Math. & Stat., Hubei Univ., Wuhan, China"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"Faculty of Mathematics and Statistics, Hubei University, Wuhan, China","institution_ids":["https://openalex.org/I75900474"]},{"raw_affiliation_string":"Fac. of Math. & Stat., Hubei Univ., Wuhan, China","institution_ids":["https://openalex.org/I75900474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029996403","display_name":"Xiangyong Zeng","orcid":"https://orcid.org/0000-0002-8351-8766"},"institutions":[{"id":"https://openalex.org/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]},{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]},{"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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiangyong Zeng","raw_affiliation_strings":["State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China","Fac. of Math. & Stat., Hubei Univ., Wuhan, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210156404","https://openalex.org/I19820366"]},{"raw_affiliation_string":"Fac. of Math. & Stat., Hubei Univ., Wuhan, China","institution_ids":["https://openalex.org/I75900474"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026698531","display_name":"Tor Helleseth","orcid":"https://orcid.org/0000-0003-1290-3541"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Tor Helleseth","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, Norway","[Dept. of Inf., Univ. of Bergen, Bergen, Norway]"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"[Dept. of Inf., Univ. of Bergen, Bergen, Norway]","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100341684","display_name":"Chunlei Li","orcid":"https://orcid.org/0000-0002-3792-769X"},"institutions":[{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]},{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["CN","NO"],"is_corresponding":false,"raw_author_name":"Chunlei Li","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, Norway","Faculty of Mathematics and Statistics, Hubei University, Wuhan, China","[Dept. of Inf., Univ. of Bergen, Bergen, Norway]"],"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"Faculty of Mathematics and Statistics, Hubei University, Wuhan, China","institution_ids":["https://openalex.org/I75900474"]},{"raw_affiliation_string":"[Dept. of Inf., Univ. of Bergen, Bergen, Norway]","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5034965387","display_name":"Lei Hu","orcid":"https://orcid.org/0000-0002-9920-5342"},"institutions":[{"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/I19820366","display_name":"Chinese Academy of Sciences","ror":"https://ror.org/034t30j35","country_code":"CN","type":"funder","lineage":["https://openalex.org/I19820366"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Lei Hu","raw_affiliation_strings":["State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China","State Key Lab. of Inf. Security, Inst. of Inf. Eng., Beijing, China"],"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Information Security, Institute of Information Engineering, Chinese Academy of Sciences, Beijing, China","institution_ids":["https://openalex.org/I4210156404","https://openalex.org/I19820366"]},{"raw_affiliation_string":"State Key Lab. of Inf. Security, Inst. of Inf. Eng., Beijing, China","institution_ids":["https://openalex.org/I4210156404"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5030695669"],"corresponding_institution_ids":["https://openalex.org/I75900474","https://openalex.org/I4432739"],"apc_list":null,"apc_paid":null,"fwci":10.14260209,"has_fulltext":false,"cited_by_count":47,"citation_normalized_percentile":{"value":0.9783648,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"60","issue":"5","first_page":"3052","last_page":"3061"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9993000030517578,"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":0.9993000030517578,"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/T13437","display_name":"Mechanisms of cancer metastasis","score":0.9937999844551086,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9923999905586243,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/shift-register","display_name":"Shift register","score":0.7331928014755249},{"id":"https://openalex.org/keywords/adjacency-list","display_name":"Adjacency list","score":0.6194735169410706},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6084356904029846},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.6033269166946411},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5810126662254333},{"id":"https://openalex.org/keywords/morphism","display_name":"Morphism","score":0.4788758158683777},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4516916275024414},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4301333427429199},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3184228539466858},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13532227277755737},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.11400255560874939}],"concepts":[{"id":"https://openalex.org/C49654631","wikidata":"https://www.wikidata.org/wiki/Q746165","display_name":"Shift register","level":3,"score":0.7331928014755249},{"id":"https://openalex.org/C110484373","wikidata":"https://www.wikidata.org/wiki/Q264398","display_name":"Adjacency list","level":2,"score":0.6194735169410706},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6084356904029846},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.6033269166946411},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5810126662254333},{"id":"https://openalex.org/C137212723","wikidata":"https://www.wikidata.org/wiki/Q1948412","display_name":"Morphism","level":2,"score":0.4788758158683777},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4516916275024414},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4301333427429199},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3184228539466858},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13532227277755737},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.11400255560874939},{"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":1,"locations":[{"id":"doi:10.1109/tit.2014.2310748","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2310748","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1699105","https://openalex.org/W127787461","https://openalex.org/W1602113401","https://openalex.org/W1660562555","https://openalex.org/W1827311732","https://openalex.org/W1966042291","https://openalex.org/W1974292899","https://openalex.org/W1991303196","https://openalex.org/W1998517951","https://openalex.org/W2007142772","https://openalex.org/W2007453203","https://openalex.org/W2007799433","https://openalex.org/W2009427224","https://openalex.org/W2035511639","https://openalex.org/W2041749201","https://openalex.org/W2058219874","https://openalex.org/W2059514976","https://openalex.org/W2065220771","https://openalex.org/W2076568250","https://openalex.org/W2079556185","https://openalex.org/W2093684372","https://openalex.org/W2129813468","https://openalex.org/W2133087726","https://openalex.org/W2146438343","https://openalex.org/W2162442687","https://openalex.org/W2592570088","https://openalex.org/W3028738156","https://openalex.org/W3151140615","https://openalex.org/W3199563021","https://openalex.org/W4234875403","https://openalex.org/W4236509984","https://openalex.org/W4285719527","https://openalex.org/W6600068609","https://openalex.org/W6628614173","https://openalex.org/W6636107910","https://openalex.org/W6777615765"],"related_works":["https://openalex.org/W2952244080","https://openalex.org/W2768503191","https://openalex.org/W1481670130","https://openalex.org/W856865640","https://openalex.org/W2039550936","https://openalex.org/W4251409357","https://openalex.org/W2139158010","https://openalex.org/W2328639173","https://openalex.org/W26434650","https://openalex.org/W2868555050"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"the":[3,23,26,31,50,60],"cycle":[4],"structure":[5],"and":[6,29],"adjacency":[7],"graphs":[8],"of":[9,12,39,52,57],"a":[10,36],"class":[11],"linear":[13],"feedback":[14,42],"shift":[15,43],"registers":[16,44],"(LFSRs)":[17],"are":[18,46],"determined.":[19],"By":[20],"recursively":[21],"applying":[22],"D-morphism":[24],"to":[25],"maximum-length":[27,40],"LFSRs":[28],"representing":[30],"cycles":[32],"by":[33],"generating":[34],"functions,":[35],"new":[37],"family":[38,62],"nonlinear":[41],"(NFSRs)":[45],"proposed":[47,61],"based":[48],"on":[49],"properties":[51],"these":[53],"LFSRs.":[54],"The":[55],"number":[56],"NFSRs":[58],"in":[59],"is":[63],"also":[64],"considered.":[65]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":5},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
