{"id":"https://openalex.org/W3046897764","doi":"https://doi.org/10.1155/2020/2051653","title":"On the Security Analysis of a Hopfield Chaotic Neural Network-Based Image Encryption Algorithm","display_name":"On the Security Analysis of a Hopfield Chaotic Neural Network-Based Image Encryption Algorithm","publication_year":2020,"publication_date":"2020-07-30","ids":{"openalex":"https://openalex.org/W3046897764","doi":"https://doi.org/10.1155/2020/2051653","mag":"3046897764"},"language":"en","primary_location":{"id":"doi:10.1155/2020/2051653","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/2051653","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/2051653.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2020/2051653.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5056123762","display_name":"HU Ying-chun","orcid":"https://orcid.org/0000-0002-3487-2531"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yingchun Hu","raw_affiliation_strings":["School of Automation, Guangdong University of Technology, Guangzhou 510006, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Guangdong University of Technology, Guangzhou 510006, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013127565","display_name":"Simin Yu","orcid":"https://orcid.org/0000-0002-1192-6955"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Simin Yu","raw_affiliation_strings":["School of Automation, Guangdong University of Technology, Guangzhou 510006, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Guangdong University of Technology, Guangzhou 510006, China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084177156","display_name":"Zeqing Zhang","orcid":"https://orcid.org/0000-0001-7809-8608"},"institutions":[{"id":"https://openalex.org/I139024713","display_name":"Guangdong University of Technology","ror":"https://ror.org/04azbjn80","country_code":"CN","type":"education","lineage":["https://openalex.org/I139024713"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zeqing Zhang","raw_affiliation_strings":["School of Automation, Guangdong University of Technology, Guangzhou 510006, China"],"affiliations":[{"raw_affiliation_string":"School of Automation, Guangdong University of Technology, Guangzhou 510006, China","institution_ids":["https://openalex.org/I139024713"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5056123762"],"corresponding_institution_ids":["https://openalex.org/I139024713"],"apc_list":{"value":2300,"currency":"USD","value_usd":2300},"apc_paid":{"value":2300,"currency":"USD","value_usd":2300},"fwci":0.7851,"has_fulltext":true,"cited_by_count":11,"citation_normalized_percentile":{"value":0.74506358,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":97},"biblio":{"volume":"2020","issue":null,"first_page":"1","last_page":"10"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":1.0,"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":1.0,"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/T10388","display_name":"Advanced Steganography and Watermarking Techniques","score":0.9810000061988831,"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/T10244","display_name":"Chaos control and synchronization","score":0.9264000058174133,"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/encryption","display_name":"Encryption","score":0.786756157875061},{"id":"https://openalex.org/keywords/plaintext","display_name":"Plaintext","score":0.709717869758606},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6951454877853394},{"id":"https://openalex.org/keywords/ciphertext","display_name":"Ciphertext","score":0.6833858489990234},{"id":"https://openalex.org/keywords/plaintext-aware-encryption","display_name":"Plaintext-aware encryption","score":0.5987311005592346},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5978699922561646},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.5937005877494812},{"id":"https://openalex.org/keywords/deterministic-encryption","display_name":"Deterministic encryption","score":0.5737935900688171},{"id":"https://openalex.org/keywords/cryptanalysis","display_name":"Cryptanalysis","score":0.5727750658988953},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.5144384503364563},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.5105739831924438},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5001025199890137},{"id":"https://openalex.org/keywords/symmetric-key-algorithm","display_name":"Symmetric-key algorithm","score":0.4830923080444336},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4715207815170288},{"id":"https://openalex.org/keywords/probabilistic-encryption","display_name":"Probabilistic encryption","score":0.4273451566696167},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3674555718898773},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.35224467515945435},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.20752573013305664},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15000179409980774},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.10458159446716309},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.08353248238563538}],"concepts":[{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.786756157875061},{"id":"https://openalex.org/C92717368","wikidata":"https://www.wikidata.org/wiki/Q1162538","display_name":"Plaintext","level":3,"score":0.709717869758606},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6951454877853394},{"id":"https://openalex.org/C93974786","wikidata":"https://www.wikidata.org/wiki/Q1589480","display_name":"Ciphertext","level":3,"score":0.6833858489990234},{"id":"https://openalex.org/C119133118","wikidata":"https://www.wikidata.org/wiki/Q7200761","display_name":"Plaintext-aware encryption","level":5,"score":0.5987311005592346},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5978699922561646},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.5937005877494812},{"id":"https://openalex.org/C57795399","wikidata":"https://www.wikidata.org/wiki/Q5265706","display_name":"Deterministic encryption","level":4,"score":0.5737935900688171},{"id":"https://openalex.org/C181149355","wikidata":"https://www.wikidata.org/wiki/Q897511","display_name":"Cryptanalysis","level":3,"score":0.5727750658988953},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.5144384503364563},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.5105739831924438},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5001025199890137},{"id":"https://openalex.org/C65302260","wikidata":"https://www.wikidata.org/wiki/Q327675","display_name":"Symmetric-key algorithm","level":4,"score":0.4830923080444336},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4715207815170288},{"id":"https://openalex.org/C54569210","wikidata":"https://www.wikidata.org/wiki/Q7246854","display_name":"Probabilistic encryption","level":3,"score":0.4273451566696167},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3674555718898773},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.35224467515945435},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.20752573013305664},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15000179409980774},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.10458159446716309},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.08353248238563538},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2020/2051653","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/2051653","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/2051653.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:2051653","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2020/2051653.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:8931209d1c514c0f864734aeaa0b3640","is_oa":true,"landing_page_url":"https://doaj.org/article/8931209d1c514c0f864734aeaa0b3640","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":"Complexity, Vol 2020 (2020)","raw_type":"article"},{"id":"pmh:oai:hindawi.com:10.1155/2020/2051653","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2020/2051653","pdf_url":null,"source":{"id":"https://openalex.org/S4306400340","display_name":"Hindawi Journal of Chemistry (Hindawi)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210126990","host_organization_name":"Hindawi (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210126990"],"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":"","raw_type":"Research Article"}],"best_oa_location":{"id":"doi:10.1155/2020/2051653","is_oa":true,"landing_page_url":"http://doi.org/10.1155/2020/2051653","pdf_url":"https://downloads.hindawi.com/journals/complexity/2020/2051653.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G5219600258","display_name":null,"funder_award_id":"B08004","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G5770049960","display_name":null,"funder_award_id":"61671161","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7314046325","display_name":null,"funder_award_id":"61532020","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G7444543045","display_name":null,"funder_award_id":"2016YFB0800401","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"},{"id":"https://openalex.org/G8114646031","display_name":null,"funder_award_id":"2016Y","funder_id":"https://openalex.org/F4320335777","funder_display_name":"National Key Research and Development Program of China"}],"funders":[{"id":"https://openalex.org/F4320335777","display_name":"National Key Research and Development Program of China","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3046897764.pdf","grobid_xml":"https://content.openalex.org/works/W3046897764.grobid-xml"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1708571760","https://openalex.org/W1966371408","https://openalex.org/W1970660147","https://openalex.org/W1981938824","https://openalex.org/W2010065947","https://openalex.org/W2010668061","https://openalex.org/W2062086221","https://openalex.org/W2090951139","https://openalex.org/W2128084896","https://openalex.org/W2143565504","https://openalex.org/W2265791352","https://openalex.org/W2559547920","https://openalex.org/W2726720000","https://openalex.org/W2783134310","https://openalex.org/W2809412765","https://openalex.org/W2811350001","https://openalex.org/W2884276405","https://openalex.org/W2888759448","https://openalex.org/W2900330098","https://openalex.org/W2902386756","https://openalex.org/W2909459674","https://openalex.org/W2912217246","https://openalex.org/W2918576491","https://openalex.org/W2944882568","https://openalex.org/W2961303860","https://openalex.org/W2971348745","https://openalex.org/W2972777926","https://openalex.org/W2998204968","https://openalex.org/W2998983737","https://openalex.org/W3016278455","https://openalex.org/W3104209854","https://openalex.org/W3121554067","https://openalex.org/W4252343056"],"related_works":["https://openalex.org/W4245054042","https://openalex.org/W2010851247","https://openalex.org/W2383771631","https://openalex.org/W2022545730","https://openalex.org/W3012305343","https://openalex.org/W2341723023","https://openalex.org/W2358138126","https://openalex.org/W2023390286","https://openalex.org/W2962908953","https://openalex.org/W2184407025"],"abstract_inverted_index":{"In":[0],"this":[1,43],"paper,":[2],"the":[3,38,65,70,84,90,97,108,111,119,127],"security":[4],"analysis":[5,101],"of":[6,34,47,110],"a":[7],"color":[8],"image":[9,23,92],"encryption":[10,24,28,121],"algorithm":[11,25,44,122],"based":[12],"on":[13],"Hopfield":[14],"chaotic":[15,22,39],"neural":[16],"network":[17],"is":[18,93],"given.":[19],"The":[20,32],"original":[21,120],"includes":[26],"permutation":[27,54,72],"and":[29,50,56,69,83,89,102],"diffusion":[30,58,67],"encryption.":[31],"result":[33],"cryptanalysis":[35],"shows":[36],"that":[37],"sequences":[40],"generated":[41],"by":[42,77],"are":[45,123],"independent":[46],"plaintext":[48,81,91],"image,":[49],"there":[51],"exist":[52],"equivalent":[53,57,66,71],"key":[55,68,73],"key.":[59],"Therefore,":[60],"according":[61],"to":[62,125],"chosen-plaintext":[63],"attack,":[64],"can":[74],"be":[75],"obtained":[76],"choosing":[78],"two":[79],"special":[80],"images":[82],"corresponding":[85],"ciphertext":[86,98],"images,":[87],"respectively,":[88],"further":[94],"recovered":[95],"from":[96],"image.":[99],"Theoretical":[100],"numerical":[103],"simulation":[104],"experiment":[105],"results":[106],"verify":[107],"effectiveness":[109],"analytical":[112],"method.":[113],"Finally,":[114],"some":[115],"improved":[116],"suggestions":[117],"for":[118],"proposed":[124],"promote":[126],"security.":[128]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":4}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}