{"id":"https://openalex.org/W2471245909","doi":"https://doi.org/10.1142/s0218127416501133","title":"Proving Chaotic Behavior of CBC Mode of Operation","display_name":"Proving Chaotic Behavior of CBC Mode of Operation","publication_year":2016,"publication_date":"2016-06-30","ids":{"openalex":"https://openalex.org/W2471245909","doi":"https://doi.org/10.1142/s0218127416501133","mag":"2471245909"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127416501133","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127416501133","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1608.05838","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111767274","display_name":"Abdessalem Abidi","orcid":null},"institutions":[{"id":"https://openalex.org/I166928557","display_name":"University of Monastir","ror":"https://ror.org/00nhtcg76","country_code":"TN","type":"education","lineage":["https://openalex.org/I166928557"]}],"countries":["TN"],"is_corresponding":true,"raw_author_name":"Abdessalem Abidi","raw_affiliation_strings":["Electronics and Microelectronics Laboratory, Faculty of Sciences of Monastir, University of Monastir, Tunisia"],"affiliations":[{"raw_affiliation_string":"Electronics and Microelectronics Laboratory, Faculty of Sciences of Monastir, University of Monastir, Tunisia","institution_ids":["https://openalex.org/I166928557"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053977259","display_name":"Qianxue Wang","orcid":"https://orcid.org/0000-0002-4063-5401"},"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":"Qianxue Wang","raw_affiliation_strings":["College of Automation, Guangdong University of Technology, Guangzhou 510006, P. R. China"],"affiliations":[{"raw_affiliation_string":"College of Automation, Guangdong University of Technology, Guangzhou 510006, P. R. China","institution_ids":["https://openalex.org/I139024713"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035713467","display_name":"Belgacem Bouall\u00e8gue","orcid":"https://orcid.org/0000-0001-7292-6345"},"institutions":[{"id":"https://openalex.org/I166928557","display_name":"University of Monastir","ror":"https://ror.org/00nhtcg76","country_code":"TN","type":"education","lineage":["https://openalex.org/I166928557"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Belgacem Bouallegue","raw_affiliation_strings":["Electronics and Microelectronics Laboratory, Faculty of Sciences of Monastir, University of Monastir, Tunisia"],"affiliations":[{"raw_affiliation_string":"Electronics and Microelectronics Laboratory, Faculty of Sciences of Monastir, University of Monastir, Tunisia","institution_ids":["https://openalex.org/I166928557"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066475844","display_name":"Mohsen Machhout","orcid":"https://orcid.org/0000-0002-5629-0508"},"institutions":[{"id":"https://openalex.org/I166928557","display_name":"University of Monastir","ror":"https://ror.org/00nhtcg76","country_code":"TN","type":"education","lineage":["https://openalex.org/I166928557"]}],"countries":["TN"],"is_corresponding":false,"raw_author_name":"Mohsen Machhout","raw_affiliation_strings":["Electronics and Microelectronics Laboratory, Faculty of Sciences of Monastir, University of Monastir, Tunisia"],"affiliations":[{"raw_affiliation_string":"Electronics and Microelectronics Laboratory, Faculty of Sciences of Monastir, University of Monastir, Tunisia","institution_ids":["https://openalex.org/I166928557"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033093688","display_name":"Christophe Guyeux","orcid":"https://orcid.org/0000-0003-0195-4378"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1294671590"]},{"id":"https://openalex.org/I4210156583","display_name":"Laboratoire d'Informatique de Paris-Nord","ror":"https://ror.org/05g1zjw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I4210091279","https://openalex.org/I4210156583","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I90843659","display_name":"Universit\u00e9 de franche-comt\u00e9","ror":"https://ror.org/03pcc9z86","country_code":"FR","type":"education","lineage":["https://openalex.org/I90843659"]},{"id":"https://openalex.org/I2802759292","display_name":"Franche-Comt\u00e9 \u00c9lectronique M\u00e9canique Thermique et Optique - Sciences et Technologies","ror":"https://ror.org/004fmxv66","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2802759292","https://openalex.org/I37553959","https://openalex.org/I4210095849","https://openalex.org/I4407990293","https://openalex.org/I53262699"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Guyeux","raw_affiliation_strings":["FEMTO-ST Institute, UMR 6174 CNRS, DISC Computer Science Department, University of Franche-Comt\u00e9, 16, Route de Gray, 25000 Besan\u00e7on, France"],"affiliations":[{"raw_affiliation_string":"FEMTO-ST Institute, UMR 6174 CNRS, DISC Computer Science Department, University of Franche-Comt\u00e9, 16, Route de Gray, 25000 Besan\u00e7on, France","institution_ids":["https://openalex.org/I90843659","https://openalex.org/I4210156583","https://openalex.org/I2802759292","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5111767274"],"corresponding_institution_ids":["https://openalex.org/I166928557"],"apc_list":null,"apc_paid":null,"fwci":2.2216,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.8602926,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"26","issue":"07","first_page":"1650113","last_page":"1650113"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.994700014591217,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10244","display_name":"Chaos control and synchronization","score":0.9897000193595886,"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"}},{"id":"https://openalex.org/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9894000291824341,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/block-cipher-mode-of-operation","display_name":"Block cipher mode of operation","score":0.8925858736038208},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.765498697757721},{"id":"https://openalex.org/keywords/block-cipher","display_name":"Block cipher","score":0.6562855243682861},{"id":"https://openalex.org/keywords/ibm","display_name":"IBM","score":0.6329224705696106},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6135717034339905},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.6045099496841431},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5699765682220459},{"id":"https://openalex.org/keywords/cbc-mac","display_name":"CBC-MAC","score":0.5582646727561951},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.5537192821502686},{"id":"https://openalex.org/keywords/chaining","display_name":"Chaining","score":0.5400927662849426},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.5248922109603882},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.42661529779434204},{"id":"https://openalex.org/keywords/cipher","display_name":"Cipher","score":0.41507017612457275},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39435675740242004},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.27943968772888184},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.2656286954879761},{"id":"https://openalex.org/keywords/operating-system","display_name":"Operating system","score":0.21911436319351196},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13575541973114014},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08120390772819519},{"id":"https://openalex.org/keywords/business","display_name":"Business","score":0.0688827633857727},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.06382259726524353},{"id":"https://openalex.org/keywords/psychology","display_name":"Psychology","score":0.06364297866821289},{"id":"https://openalex.org/keywords/optics","display_name":"Optics","score":0.05604982376098633}],"concepts":[{"id":"https://openalex.org/C60448319","wikidata":"https://www.wikidata.org/wiki/Q154021","display_name":"Block cipher mode of operation","level":2,"score":0.8925858736038208},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.765498697757721},{"id":"https://openalex.org/C106544461","wikidata":"https://www.wikidata.org/wiki/Q543151","display_name":"Block cipher","level":3,"score":0.6562855243682861},{"id":"https://openalex.org/C70388272","wikidata":"https://www.wikidata.org/wiki/Q5968558","display_name":"IBM","level":2,"score":0.6329224705696106},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6135717034339905},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.6045099496841431},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5699765682220459},{"id":"https://openalex.org/C156529985","wikidata":"https://www.wikidata.org/wiki/Q2736227","display_name":"CBC-MAC","level":4,"score":0.5582646727561951},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.5537192821502686},{"id":"https://openalex.org/C49020025","wikidata":"https://www.wikidata.org/wiki/Q1059099","display_name":"Chaining","level":2,"score":0.5400927662849426},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.5248922109603882},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.42661529779434204},{"id":"https://openalex.org/C2780221543","wikidata":"https://www.wikidata.org/wiki/Q4681865","display_name":"Cipher","level":3,"score":0.41507017612457275},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39435675740242004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.27943968772888184},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.2656286954879761},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.21911436319351196},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13575541973114014},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08120390772819519},{"id":"https://openalex.org/C144133560","wikidata":"https://www.wikidata.org/wiki/Q4830453","display_name":"Business","level":0,"score":0.0688827633857727},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.06382259726524353},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.06364297866821289},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.05604982376098633},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C542102704","wikidata":"https://www.wikidata.org/wiki/Q183257","display_name":"Psychotherapist","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1142/s0218127416501133","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127416501133","pdf_url":null,"source":{"id":"https://openalex.org/S81011612","display_name":"International Journal of Bifurcation and Chaos","issn_l":"0218-1274","issn":["0218-1274","1793-6551"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Bifurcation and Chaos","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1608.05838","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1608.05838","pdf_url":"https://arxiv.org/pdf/1608.05838","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1608.05838","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1608.05838","pdf_url":"https://arxiv.org/pdf/1608.05838","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"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":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W28371118","https://openalex.org/W1572463386","https://openalex.org/W1998538686","https://openalex.org/W2124258972","https://openalex.org/W3138265894","https://openalex.org/W4206252072","https://openalex.org/W4236420350","https://openalex.org/W4239398473"],"related_works":["https://openalex.org/W2496164548","https://openalex.org/W4298706439","https://openalex.org/W2963006807","https://openalex.org/W2344782235","https://openalex.org/W3022296361","https://openalex.org/W2782133800","https://openalex.org/W832575060","https://openalex.org/W1953546499","https://openalex.org/W166390051","https://openalex.org/W1985725551"],"abstract_inverted_index":{"The":[0],"cipher":[1],"block":[2],"chaining":[3],"(CBC)":[4],"mode":[5,44],"of":[6,23,45],"operation":[7,46],"was":[8],"invented":[9],"by":[10],"IBM":[11],"(International":[12],"Business":[13],"Machine)":[14],"in":[15,28,61],"1976.":[16],"It":[17],"presents":[18],"a":[19,49],"very":[20],"popular":[21],"way":[22],"encrypting":[24],"that":[25],"is":[26],"used":[27],"various":[29],"applications.":[30],"In":[31],"this":[32,67],"paper,":[33],"we":[34],"have":[35],"mathematically":[36],"proven":[37],"that,":[38],"under":[39],"some":[40],"conditions,":[41],"the":[42],"CBC":[43],"can":[47],"admit":[48],"chaotic":[50],"behavior":[51],"according":[52],"to":[53,63],"Devaney.":[54],"Some":[55],"cases":[56],"will":[57],"be":[58],"properly":[59],"studied":[60],"order":[62],"provide":[64],"evidence":[65],"for":[66],"idea.":[68]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2}],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2016-07-22T00:00:00"}
