{"id":"https://openalex.org/W3192800690","doi":"https://doi.org/10.3390/sym13081420","title":"The Dynamic Analysis of a Novel Reconfigurable Cubic Chaotic Map and Its Application in Finite Field","display_name":"The Dynamic Analysis of a Novel Reconfigurable Cubic Chaotic Map and Its Application in Finite Field","publication_year":2021,"publication_date":"2021-08-03","ids":{"openalex":"https://openalex.org/W3192800690","doi":"https://doi.org/10.3390/sym13081420","mag":"3192800690"},"language":"en","primary_location":{"id":"doi:10.3390/sym13081420","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13081420","pdf_url":"https://www.mdpi.com/2073-8994/13/8/1420/pdf?version=1628067086","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/2073-8994/13/8/1420/pdf?version=1628067086","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028233379","display_name":"Chuanfu Wang","orcid":"https://orcid.org/0000-0003-4838-0236"},"institutions":[{"id":"https://openalex.org/I4210099437","display_name":"Hubei University Of Economics","ror":"https://ror.org/012a84b59","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210099437"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Chuanfu Wang","raw_affiliation_strings":["School of Information and Communication Engineering, Hubei University of Economics, Wuhan 430205, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Hubei University of Economics, Wuhan 430205, China","institution_ids":["https://openalex.org/I4210099437"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101421343","display_name":"Yi Di","orcid":"https://orcid.org/0000-0003-2457-3981"},"institutions":[{"id":"https://openalex.org/I4210099437","display_name":"Hubei University Of Economics","ror":"https://ror.org/012a84b59","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210099437"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yi Di","raw_affiliation_strings":["School of Information and Communication Engineering, Hubei University of Economics, Wuhan 430205, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Hubei University of Economics, Wuhan 430205, China","institution_ids":["https://openalex.org/I4210099437"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5039576234","display_name":"Jianyu Tang","orcid":null},"institutions":[{"id":"https://openalex.org/I4210099437","display_name":"Hubei University Of Economics","ror":"https://ror.org/012a84b59","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210099437"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianyu Tang","raw_affiliation_strings":["School of Information and Communication Engineering, Hubei University of Economics, Wuhan 430205, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Hubei University of Economics, Wuhan 430205, China","institution_ids":["https://openalex.org/I4210099437"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049177314","display_name":"Shuai Jing","orcid":"https://orcid.org/0009-0008-2881-3675"},"institutions":[{"id":"https://openalex.org/I4210099437","display_name":"Hubei University Of Economics","ror":"https://ror.org/012a84b59","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210099437"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jing Shuai","raw_affiliation_strings":["School of Information and Communication Engineering, Hubei University of Economics, Wuhan 430205, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Hubei University of Economics, Wuhan 430205, China","institution_ids":["https://openalex.org/I4210099437"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100424312","display_name":"Yuchen Zhang","orcid":"https://orcid.org/0000-0002-3153-4000"},"institutions":[{"id":"https://openalex.org/I4210099437","display_name":"Hubei University Of Economics","ror":"https://ror.org/012a84b59","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210099437"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuchen Zhang","raw_affiliation_strings":["School of Information and Communication Engineering, Hubei University of Economics, Wuhan 430205, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Hubei University of Economics, Wuhan 430205, China","institution_ids":["https://openalex.org/I4210099437"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102077290","display_name":"Qi Lu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210099437","display_name":"Hubei University Of Economics","ror":"https://ror.org/012a84b59","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210099437"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Qi Lu","raw_affiliation_strings":["School of Information and Communication Engineering, Hubei University of Economics, Wuhan 430205, China"],"affiliations":[{"raw_affiliation_string":"School of Information and Communication Engineering, Hubei University of Economics, Wuhan 430205, China","institution_ids":["https://openalex.org/I4210099437"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5102077290"],"corresponding_institution_ids":["https://openalex.org/I4210099437"],"apc_list":{"value":2000,"currency":"CHF","value_usd":2165},"apc_paid":{"value":2000,"currency":"CHF","value_usd":2165},"fwci":1.4533,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.84181606,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":99},"biblio":{"volume":"13","issue":"8","first_page":"1420","last_page":"1420"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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":0.989799976348877,"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/T10244","display_name":"Chaos control and synchronization","score":0.9872000217437744,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.855191707611084},{"id":"https://openalex.org/keywords/randomness","display_name":"Randomness","score":0.8354448676109314},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.7981354594230652},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6129802465438843},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5671002864837646},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.4870198369026184},{"id":"https://openalex.org/keywords/pseudorandom-generator-theorem","display_name":"Pseudorandom generator theorem","score":0.47332414984703064},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3586465120315552},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.32935380935668945},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3078764081001282},{"id":"https://openalex.org/keywords/pseudorandom-generator","display_name":"Pseudorandom generator","score":0.2592507004737854},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.17918440699577332},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11829078197479248},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.0770312249660492},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.07437506318092346},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.061754465103149414},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06164929270744324}],"concepts":[{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.855191707611084},{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.8354448676109314},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.7981354594230652},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6129802465438843},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5671002864837646},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.4870198369026184},{"id":"https://openalex.org/C180233235","wikidata":"https://www.wikidata.org/wiki/Q7255475","display_name":"Pseudorandom generator theorem","level":4,"score":0.47332414984703064},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3586465120315552},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.32935380935668945},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3078764081001282},{"id":"https://openalex.org/C92913381","wikidata":"https://www.wikidata.org/wiki/Q7255474","display_name":"Pseudorandom generator","level":3,"score":0.2592507004737854},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.17918440699577332},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11829078197479248},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0770312249660492},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.07437506318092346},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.061754465103149414},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06164929270744324},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.3390/sym13081420","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13081420","pdf_url":"https://www.mdpi.com/2073-8994/13/8/1420/pdf?version=1628067086","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:26e7d40cd9e54910a7c63b0ca8207f28","is_oa":true,"landing_page_url":"https://doaj.org/article/26e7d40cd9e54910a7c63b0ca8207f28","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry, Vol 13, Iss 8, p 1420 (2021)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/2073-8994/13/8/1420/","is_oa":true,"landing_page_url":"https://dx.doi.org/10.3390/sym13081420","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symmetry","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/sym13081420","is_oa":true,"landing_page_url":"https://doi.org/10.3390/sym13081420","pdf_url":"https://www.mdpi.com/2073-8994/13/8/1420/pdf?version=1628067086","source":{"id":"https://openalex.org/S190787756","display_name":"Symmetry","issn_l":"2073-8994","issn":["2073-8994"],"is_oa":true,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Symmetry","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/8","display_name":"Decent work and economic growth","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3192800690.pdf","grobid_xml":"https://content.openalex.org/works/W3192800690.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W1502839034","https://openalex.org/W1966460864","https://openalex.org/W1981938824","https://openalex.org/W1989451097","https://openalex.org/W2010006328","https://openalex.org/W2010620862","https://openalex.org/W2015287612","https://openalex.org/W2015304581","https://openalex.org/W2039212042","https://openalex.org/W2087675358","https://openalex.org/W2088639203","https://openalex.org/W2124918032","https://openalex.org/W2141394518","https://openalex.org/W2249740901","https://openalex.org/W2552551717","https://openalex.org/W2810077601","https://openalex.org/W2884813861","https://openalex.org/W2888874477","https://openalex.org/W2905420870","https://openalex.org/W2908897809","https://openalex.org/W2918149988","https://openalex.org/W2969998594","https://openalex.org/W2989906196","https://openalex.org/W2994758972","https://openalex.org/W2998636469","https://openalex.org/W3013098700","https://openalex.org/W3045032477","https://openalex.org/W3045532941","https://openalex.org/W3105798161","https://openalex.org/W3111610259","https://openalex.org/W3111918506","https://openalex.org/W3131969665","https://openalex.org/W3161457301","https://openalex.org/W3198556518","https://openalex.org/W4243494487","https://openalex.org/W6629190293","https://openalex.org/W6729645866","https://openalex.org/W6757270159","https://openalex.org/W6781182297","https://openalex.org/W6787019587","https://openalex.org/W6790564069"],"related_works":["https://openalex.org/W1972193539","https://openalex.org/W2161451071","https://openalex.org/W2050598895","https://openalex.org/W44435986","https://openalex.org/W2795569938","https://openalex.org/W2024824006","https://openalex.org/W95325373","https://openalex.org/W2626887348","https://openalex.org/W1503589388","https://openalex.org/W1524332342"],"abstract_inverted_index":{"Dynamic":[0],"degradation":[1,23],"occurs":[2],"when":[3],"chaotic":[4,22,66,86,93,119,142,174],"systems":[5],"are":[6,68,95,111],"implemented":[7],"on":[8,138],"digital":[9,78,91,117,140],"devices,":[10],"which":[11,28,70,190],"seriously":[12],"threatens":[13],"the":[14,41,45,49,54,77,84,89,99,102,116,124,139,147,160,165,172,180,192,198],"security":[15],"of":[16,44,56,83,108,149,152,171,200],"chaos-based":[17,57],"pseudorandom":[18,58,134,161],"sequence":[19,47,59,135,162,182],"generators.":[20,60],"The":[21,80],"shows":[24],"complex":[25,103,125,166],"periodic":[26,126],"behavior,":[27],"is":[29,48,121,128,144],"often":[30],"ignored":[31],"by":[32],"designers":[33],"and":[34,73,88,98,105,123,157,168,178,186],"seldom":[35],"analyzed":[36,96],"in":[37,76],"theory.":[38],"Not":[39],"knowing":[40],"exact":[42],"period":[43,104,167],"output":[46,109,181],"key":[50],"problem":[51],"that":[52],"affects":[53],"application":[55],"In":[61,130],"this":[62,114],"paper,":[63],"two":[64],"cubic":[65,85,92,118,141,173],"maps":[67],"combined,":[69],"have":[71,183],"symmetry":[72],"reconfigurable":[74,133],"form":[75],"circuit.":[79],"dynamic":[81],"behavior":[82,127],"map":[87,94,120,143,175],"corresponding":[90],"respectively,":[97],"reasons":[100],"for":[101,194],"weak":[106,169],"randomness":[107,170],"sequences":[110],"studied.":[112],"On":[113],"basis,":[115],"optimized,":[122],"improved.":[129],"addition,":[131],"a":[132],"generator":[136,163],"based":[137],"constructed":[145],"from":[146],"point":[148],"saving":[150],"consumption":[151],"logical":[153],"resources.":[154],"Through":[155],"theoretical":[156],"numerical":[158],"analysis,":[159],"solves":[164],"after":[176],"digitization":[177],"makes":[179],"better":[184],"performance":[185],"less":[187],"resource":[188],"consumption,":[189],"lays":[191],"foundation":[193],"applying":[195],"it":[196],"to":[197],"field":[199],"secure":[201],"communication.":[202]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}