{"id":"https://openalex.org/W1988810949","doi":"https://doi.org/10.1142/s0218127412502562","title":"GENERALIZED ARITHMETIC CODING USING DISCRETE CHAOTIC MAPS","display_name":"GENERALIZED ARITHMETIC CODING USING DISCRETE CHAOTIC MAPS","publication_year":2012,"publication_date":"2012-10-01","ids":{"openalex":"https://openalex.org/W1988810949","doi":"https://doi.org/10.1142/s0218127412502562","mag":"1988810949"},"language":"en","primary_location":{"id":"doi:10.1142/s0218127412502562","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502562","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":["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/A5066935890","display_name":"Qiuzhen Lin","orcid":"https://orcid.org/0000-0003-2415-0401"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"QIUZHEN LIN","raw_affiliation_strings":["Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong","Department of Electronic Engineering, City University of Hong Kong, 83, Tat Chee Avenue, Kowloon Tong, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, 83, Tat Chee Avenue, Kowloon Tong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110056206","display_name":"Kwok\u2010Wo Wong","orcid":null},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"KWOK-WO WONG","raw_affiliation_strings":["Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong","Department of Electronic Engineering, City University of Hong Kong, 83, Tat Chee Avenue, Kowloon Tong, Hong Kong"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, 83 Tat Chee Avenue, Kowloon Tong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"Department of Electronic Engineering, City University of Hong Kong, 83, Tat Chee Avenue, Kowloon Tong, Hong Kong","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044377595","display_name":"Jianyong Chen","orcid":"https://orcid.org/0000-0002-6203-1254"},"institutions":[{"id":"https://openalex.org/I180726961","display_name":"Shenzhen University","ror":"https://ror.org/01vy4gh70","country_code":"CN","type":"education","lineage":["https://openalex.org/I180726961"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"JIANYONG CHEN","raw_affiliation_strings":["Department of Computer Science and Technology, Shenzhen University, Nanhai Ave 3688, Shenzhen 518060, P. R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Technology, Shenzhen University, Nanhai Ave 3688, Shenzhen 518060, P. R. China","institution_ids":["https://openalex.org/I180726961"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.0894,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.7861999,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"22","issue":"10","first_page":"1250256","last_page":"1250256"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9998999834060669,"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":0.9998999834060669,"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/T10588","display_name":"Mathematical Dynamics and Fractals","score":0.9850999712944031,"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":0.9751999974250793,"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/arithmetic-coding","display_name":"Arithmetic coding","score":0.8678575754165649},{"id":"https://openalex.org/keywords/code-word","display_name":"Code word","score":0.6551332473754883},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.6422534584999084},{"id":"https://openalex.org/keywords/huffman-coding","display_name":"Huffman coding","score":0.6202833652496338},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6123210191726685},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5969040989875793},{"id":"https://openalex.org/keywords/entropy-encoding","display_name":"Entropy encoding","score":0.5936918258666992},{"id":"https://openalex.org/keywords/shannon\u2013fano-coding","display_name":"Shannon\u2013Fano coding","score":0.5448997616767883},{"id":"https://openalex.org/keywords/variable-length-code","display_name":"Variable-length code","score":0.5379840135574341},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.47772833704948425},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4692162275314331},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.45583605766296387},{"id":"https://openalex.org/keywords/context-adaptive-binary-arithmetic-coding","display_name":"Context-adaptive binary arithmetic coding","score":0.4315378665924072},{"id":"https://openalex.org/keywords/data-compression","display_name":"Data compression","score":0.42585238814353943},{"id":"https://openalex.org/keywords/encoding","display_name":"Encoding (memory)","score":0.41971439123153687},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.37840256094932556},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34960755705833435},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.07697156071662903}],"concepts":[{"id":"https://openalex.org/C153338461","wikidata":"https://www.wikidata.org/wiki/Q2651","display_name":"Arithmetic coding","level":4,"score":0.8678575754165649},{"id":"https://openalex.org/C153207627","wikidata":"https://www.wikidata.org/wiki/Q863873","display_name":"Code word","level":3,"score":0.6551332473754883},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.6422534584999084},{"id":"https://openalex.org/C46900642","wikidata":"https://www.wikidata.org/wiki/Q2647","display_name":"Huffman coding","level":3,"score":0.6202833652496338},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6123210191726685},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5969040989875793},{"id":"https://openalex.org/C1769480","wikidata":"https://www.wikidata.org/wiki/Q1345239","display_name":"Entropy encoding","level":3,"score":0.5936918258666992},{"id":"https://openalex.org/C130811719","wikidata":"https://www.wikidata.org/wiki/Q2645","display_name":"Shannon\u2013Fano coding","level":4,"score":0.5448997616767883},{"id":"https://openalex.org/C60603091","wikidata":"https://www.wikidata.org/wiki/Q2981616","display_name":"Variable-length code","level":3,"score":0.5379840135574341},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.47772833704948425},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4692162275314331},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.45583605766296387},{"id":"https://openalex.org/C175732694","wikidata":"https://www.wikidata.org/wiki/Q1128713","display_name":"Context-adaptive binary arithmetic coding","level":3,"score":0.4315378665924072},{"id":"https://openalex.org/C78548338","wikidata":"https://www.wikidata.org/wiki/Q2493","display_name":"Data compression","level":2,"score":0.42585238814353943},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.41971439123153687},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.37840256094932556},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34960755705833435},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.07697156071662903},{"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},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218127412502562","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218127412502562","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"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.5099999904632568,"id":"https://metadata.un.org/sdg/17"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W1640739361","https://openalex.org/W2001426628","https://openalex.org/W2015304581","https://openalex.org/W2020767010","https://openalex.org/W2030411764","https://openalex.org/W2032820503","https://openalex.org/W2035794911","https://openalex.org/W2060791695","https://openalex.org/W2100143961","https://openalex.org/W2101411296","https://openalex.org/W2102541785","https://openalex.org/W2102688401","https://openalex.org/W2105145864","https://openalex.org/W2112449438","https://openalex.org/W2118857350","https://openalex.org/W2129652681","https://openalex.org/W2151126710","https://openalex.org/W2156579915","https://openalex.org/W2158338470","https://openalex.org/W2161944218","https://openalex.org/W2166934960","https://openalex.org/W2963547150","https://openalex.org/W3101924110"],"related_works":["https://openalex.org/W2156106714","https://openalex.org/W4312628177","https://openalex.org/W1579872668","https://openalex.org/W2123072960","https://openalex.org/W1994532706","https://openalex.org/W340392727","https://openalex.org/W1499106570","https://openalex.org/W2096793045","https://openalex.org/W4251361844","https://openalex.org/W1492899210"],"abstract_inverted_index":{"Making":[0],"use":[1],"of":[2,8,42,89,98,163],"the":[3,9,24,49,56,70,74,80,84,94,99,104,107,114,135,144,148,153,160,170,207],"Lebesgue":[4],"measure":[5],"preserving":[6],"property":[7],"piecewise":[10,16],"linear":[11,17],"chaotic":[12,18,82,116],"map,":[13],"a":[14,40,194],"discrete":[15],"map":[19,117],"is":[20,29,59,127,166,174,202],"employed":[21],"to":[22,146,169,176,191],"perform":[23],"generalized":[25],"arithmetic":[26,179,213],"coding,":[27],"which":[28,90],"an":[30,53,119],"optimal":[31],"entropy":[32,171],"coding":[33],"algorithm":[34],"adopted":[35],"by":[36,48,93,112,129],"international":[37],"standards.":[38],"After":[39],"number":[41],"message":[43,108],"symbols":[44,76,100,109],"have":[45],"been":[46],"encoded":[47,78],"reverse":[50,131],"interval":[51,58,97,125,132],"mapping,":[52],"enlargement":[54,126],"on":[55,69,134,211],"encoding":[57,72,96,124],"performed":[60],"and":[61,86,173,197],"some":[62],"codeword":[63,139],"bits":[64,140],"are":[65,77,91,110,141],"exported":[66],"accordingly.":[67],"Based":[68],"enlarged":[71],"interval,":[73],"subsequent":[75,154],"with":[79,206],"modified":[81],"maps,":[83],"lower":[85],"upper":[87],"bounds":[88],"determined":[92],"final":[95],"already":[101],"encoded.":[102],"In":[103,181],"decoding":[105,152],"process,":[106],"recovered":[111],"iterating":[113],"corresponding":[115],"from":[118],"appropriate":[120],"initial":[121,149],"value.":[122],"The":[123],"tracked":[128],"performing":[130],"mapping":[133],"decoded":[136],"symbols.":[137,155],"More":[138],"shifted":[142],"into":[143,188],"register":[145],"form":[147],"value":[150],"for":[151],"Simulation":[156],"results":[157],"verify":[158],"that":[159],"compression":[161,196],"performance":[162],"our":[164,189],"scheme":[165,190],"very":[167],"close":[168],"bound":[172],"comparable":[175],"traditional":[177,212],"finite-precision":[178],"coding.":[180,214],"addition,":[182],"cryptographic":[183],"capability":[184],"can":[185],"be":[186],"integrated":[187],"make":[192],"it":[193],"joint":[195],"encryption":[198],"scheme.":[199],"Its":[200],"security":[201],"enhanced":[203],"when":[204],"compared":[205],"existing":[208],"schemes":[209],"based":[210]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}