{"id":"https://openalex.org/W2553850204","doi":"https://doi.org/10.1109/allerton.2014.7028581","title":"Fundamental performance limits of chaotic-map random number generators","display_name":"Fundamental performance limits of chaotic-map random number generators","publication_year":2014,"publication_date":"2014-09-01","ids":{"openalex":"https://openalex.org/W2553850204","doi":"https://doi.org/10.1109/allerton.2014.7028581","mag":"2553850204"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2014.7028581","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2014.7028581","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5008645615","display_name":"Ahmad Beirami","orcid":"https://orcid.org/0000-0002-1998-5271"},"institutions":[{"id":"https://openalex.org/I170897317","display_name":"Duke University","ror":"https://ror.org/00py81415","country_code":"US","type":"education","lineage":["https://openalex.org/I170897317"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ahmad Beirami","raw_affiliation_strings":["Duke University, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Duke University, USA","institution_ids":["https://openalex.org/I170897317"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080141958","display_name":"Hamid Reza Nejati","orcid":"https://orcid.org/0000-0003-4552-8506"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hamid Nejati","raw_affiliation_strings":["University of Michigan, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Michigan, USA","institution_ids":["https://openalex.org/I27837315"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024452213","display_name":"Sergio Callegari","orcid":"https://orcid.org/0000-0001-6719-598X"},"institutions":[{"id":"https://openalex.org/I27837315","display_name":"University of Michigan","ror":"https://ror.org/00jmfr291","country_code":"US","type":"education","lineage":["https://openalex.org/I27837315"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sergio Callegari","raw_affiliation_strings":["University of Michigan, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Michigan, USA","institution_ids":["https://openalex.org/I27837315"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.899,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.81750012,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9886000156402588,"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/T12946","display_name":"Fractal and DNA sequence analysis","score":0.9850000143051147,"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/random-number-generation","display_name":"Random number generation","score":0.6823370456695557},{"id":"https://openalex.org/keywords/pseudorandom-binary-sequence","display_name":"Pseudorandom binary sequence","score":0.6701672077178955},{"id":"https://openalex.org/keywords/infimum-and-supremum","display_name":"Infimum and supremum","score":0.646344006061554},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.5858013033866882},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5540998578071594},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5477610230445862},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5418177247047424},{"id":"https://openalex.org/keywords/chaotic-map","display_name":"Chaotic map","score":0.5138218998908997},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49415209889411926},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.4495488703250885},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4316120147705078},{"id":"https://openalex.org/keywords/converse","display_name":"Converse","score":0.4184987246990204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39227885007858276},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2809048891067505},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.12707558274269104},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10013970732688904}],"concepts":[{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.6823370456695557},{"id":"https://openalex.org/C128040838","wikidata":"https://www.wikidata.org/wiki/Q1810628","display_name":"Pseudorandom binary sequence","level":3,"score":0.6701672077178955},{"id":"https://openalex.org/C95611797","wikidata":"https://www.wikidata.org/wiki/Q17502105","display_name":"Infimum and supremum","level":2,"score":0.646344006061554},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.5858013033866882},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5540998578071594},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5477610230445862},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5418177247047424},{"id":"https://openalex.org/C2983793180","wikidata":"https://www.wikidata.org/wiki/Q166314","display_name":"Chaotic map","level":3,"score":0.5138218998908997},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49415209889411926},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.4495488703250885},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4316120147705078},{"id":"https://openalex.org/C2776809875","wikidata":"https://www.wikidata.org/wiki/Q1375963","display_name":"Converse","level":2,"score":0.4184987246990204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39227885007858276},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2809048891067505},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.12707558274269104},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10013970732688904},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/allerton.2014.7028581","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2014.7028581","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2014 52nd Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:cris.unibo.it:11585/521562","is_oa":false,"landing_page_url":"http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=7028581","pdf_url":null,"source":{"id":"https://openalex.org/S4306402579","display_name":"Archivio istituzionale della ricerca (Alma Mater Studiorum Universit\u00e0 di Bologna)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210117483","host_organization_name":"Istituto di Ematologia di Bologna","host_organization_lineage":["https://openalex.org/I4210117483"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferenceObject"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W122965473","https://openalex.org/W949353694","https://openalex.org/W1968777006","https://openalex.org/W1968971721","https://openalex.org/W2004021828","https://openalex.org/W2037470092","https://openalex.org/W2081024858","https://openalex.org/W2087284982","https://openalex.org/W2106963640","https://openalex.org/W2109018149","https://openalex.org/W2123738175","https://openalex.org/W2124006010","https://openalex.org/W2124872298","https://openalex.org/W2141879917","https://openalex.org/W2142785003","https://openalex.org/W2145000276","https://openalex.org/W2149404985","https://openalex.org/W2156214717","https://openalex.org/W2165130379","https://openalex.org/W2478708596","https://openalex.org/W4254369800"],"related_works":["https://openalex.org/W2387449261","https://openalex.org/W2963300987","https://openalex.org/W2270821741","https://openalex.org/W2316835829","https://openalex.org/W2149404985","https://openalex.org/W1840986974","https://openalex.org/W4300634403","https://openalex.org/W2951714323","https://openalex.org/W2356488900","https://openalex.org/W2237376490"],"abstract_inverted_index":{"A":[0],"chaotic-map":[1],"random":[2,44],"number":[3],"generator":[4],"(RNG)":[5],"is":[6,20,36,61,68,103,119],"defined":[7],"using":[8,82],"a":[9,13,24,106,133],"chaotic":[10],"map":[11,18,81],"and":[12,93],"bit-generation":[14,26,59,85,110,117,130],"function.":[15,86],"When":[16],"the":[17,28,31,38,50,55,63,69,83,97,113,116,123],"function":[19,118],"exactly":[21],"known,":[22],"for":[23,144],"given":[25,80],"function,":[27],"entropy-rate":[29,56],"of":[30,54,108,129],"generated":[32,48],"output":[33],"bit":[34],"sequence":[35,107,128],"asymptotically":[37],"highest":[39,70],"rate":[40,71],"at":[41,72],"which":[42,67,73,137],"truly":[43],"bits":[45],"can":[46,75,138],"be":[47,76,140],"from":[49,78],"map.":[51,125],"The":[52,101,126],"supremum":[53],"amongst":[57],"all":[58],"functions":[60,111,131],"called":[62],"binary":[64,98],"metric":[65,99],"entropy,":[66],"information":[74],"extracted":[77],"any":[79],"optimal":[84],"In":[87],"this":[88],"paper,":[89],"we":[90],"provide":[91],"converse":[92],"achievable":[94],"bounds":[95],"on":[96,105,122,142],"entropy.":[100],"achievability":[102],"based":[104],"universal":[109],"in":[112],"sense":[114],"that":[115],"not":[120],"dependent":[121],"specific":[124],"proposed":[127],"offers":[132],"fairly":[134],"simple":[135],"implementation":[136],"easily":[139],"realized":[141],"hardware":[143],"practical":[145],"purposes.":[146]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":4}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}