{"id":"https://openalex.org/W4403680495","doi":"https://doi.org/10.3390/info15110667","title":"Enhanced Chaotic Pseudorandom Number Generation Using Multiple Bernoulli Maps with Field Programmable Gate Array Optimizations","display_name":"Enhanced Chaotic Pseudorandom Number Generation Using Multiple Bernoulli Maps with Field Programmable Gate Array Optimizations","publication_year":2024,"publication_date":"2024-10-23","ids":{"openalex":"https://openalex.org/W4403680495","doi":"https://doi.org/10.3390/info15110667"},"language":"en","primary_location":{"id":"doi:10.3390/info15110667","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info15110667","pdf_url":null,"source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"is_oa":true,"is_in_doaj":true,"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":"Information","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://doi.org/10.3390/info15110667","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5059011323","display_name":"Leonardo Palacios-Luengas","orcid":"https://orcid.org/0000-0002-5193-2014"},"institutions":[{"id":"https://openalex.org/I200362191","display_name":"Universidad Aut\u00f3noma Metropolitana","ror":"https://ror.org/02kta5139","country_code":"MX","type":"education","lineage":["https://openalex.org/I200362191"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Leonardo Palacios-Luengas","raw_affiliation_strings":["Department of Electrical Engineering, Autonomous Metropolitan University (UAM), Iztapalapa, Mexico City 09340, Mexico"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Autonomous Metropolitan University (UAM), Iztapalapa, Mexico City 09340, Mexico","institution_ids":["https://openalex.org/I200362191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5058464431","display_name":"R. Carolina Medina-Ram\u00edrez","orcid":"https://orcid.org/0000-0003-4701-1447"},"institutions":[{"id":"https://openalex.org/I200362191","display_name":"Universidad Aut\u00f3noma Metropolitana","ror":"https://ror.org/02kta5139","country_code":"MX","type":"education","lineage":["https://openalex.org/I200362191"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Reyna Carolina Medina-Ram\u00edrez","raw_affiliation_strings":["Department of Electrical Engineering, Autonomous Metropolitan University (UAM), Iztapalapa, Mexico City 09340, Mexico"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Autonomous Metropolitan University (UAM), Iztapalapa, Mexico City 09340, Mexico","institution_ids":["https://openalex.org/I200362191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085505045","display_name":"Ricardo Marcel\u00edn\u2010Jim\u00e9nez","orcid":"https://orcid.org/0000-0002-5355-5830"},"institutions":[{"id":"https://openalex.org/I200362191","display_name":"Universidad Aut\u00f3noma Metropolitana","ror":"https://ror.org/02kta5139","country_code":"MX","type":"education","lineage":["https://openalex.org/I200362191"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Ricardo Marcel\u00edn-Jim\u00e9nez","raw_affiliation_strings":["Department of Electrical Engineering, Autonomous Metropolitan University (UAM), Iztapalapa, Mexico City 09340, Mexico"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Autonomous Metropolitan University (UAM), Iztapalapa, Mexico City 09340, Mexico","institution_ids":["https://openalex.org/I200362191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5009606650","display_name":"Enrique Rodr\u00edguez-Colina","orcid":"https://orcid.org/0000-0003-1696-3349"},"institutions":[{"id":"https://openalex.org/I200362191","display_name":"Universidad Aut\u00f3noma Metropolitana","ror":"https://ror.org/02kta5139","country_code":"MX","type":"education","lineage":["https://openalex.org/I200362191"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Enrique Rodriguez-Colina","raw_affiliation_strings":["Department of Electrical Engineering, Autonomous Metropolitan University (UAM), Iztapalapa, Mexico City 09340, Mexico"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Autonomous Metropolitan University (UAM), Iztapalapa, Mexico City 09340, Mexico","institution_ids":["https://openalex.org/I200362191"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026017375","display_name":"Francisco R. Castillo\u2010Soria","orcid":"https://orcid.org/0000-0002-5550-8819"},"institutions":[{"id":"https://openalex.org/I196664497","display_name":"Autonomous University of San Luis Potos\u00ed","ror":"https://ror.org/000917t60","country_code":"MX","type":"education","lineage":["https://openalex.org/I196664497"]}],"countries":["MX"],"is_corresponding":false,"raw_author_name":"Francisco R. Castillo-Soria","raw_affiliation_strings":["Faculty of Sciences, Autonomous University of San Luis Potos\u00ed, San Luis Potos\u00ed 78290, Mexico"],"affiliations":[{"raw_affiliation_string":"Faculty of Sciences, Autonomous University of San Luis Potos\u00ed, San Luis Potos\u00ed 78290, Mexico","institution_ids":["https://openalex.org/I196664497"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014037894","display_name":"Rub\u00e9n V\u00e1zquez\u2010Medina","orcid":"https://orcid.org/0000-0002-6210-4097"},"institutions":[{"id":"https://openalex.org/I59361560","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34","country_code":"MX","type":"education","lineage":["https://openalex.org/I59361560"]}],"countries":["MX"],"is_corresponding":true,"raw_author_name":"Rub\u00e9n V\u00e1zquez-Medina","raw_affiliation_strings":["Instituto Polit\u00e9cnico Nacional, CICATA, Quer\u00e9taro 76090, Mexico"],"affiliations":[{"raw_affiliation_string":"Instituto Polit\u00e9cnico Nacional, CICATA, Quer\u00e9taro 76090, Mexico","institution_ids":["https://openalex.org/I59361560"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5014037894"],"corresponding_institution_ids":["https://openalex.org/I59361560"],"apc_list":{"value":1400,"currency":"CHF","value_usd":1515},"apc_paid":{"value":1400,"currency":"CHF","value_usd":1515},"fwci":0.7895,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.73929399,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"15","issue":"11","first_page":"667","last_page":"667"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9916999936103821,"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":0.9916999936103821,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.84308922290802},{"id":"https://openalex.org/keywords/bernoullis-principle","display_name":"Bernoulli's principle","score":0.7352104187011719},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6288686990737915},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5171091556549072},{"id":"https://openalex.org/keywords/random-number-generation","display_name":"Random number generation","score":0.4755166172981262},{"id":"https://openalex.org/keywords/gate-array","display_name":"Gate array","score":0.4544336199760437},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4182501435279846},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4171411693096161},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.4019986391067505},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.30361059308052063},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.3014715015888214},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2651274800300598},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.19516798853874207},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.11283764243125916}],"concepts":[{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.84308922290802},{"id":"https://openalex.org/C152361515","wikidata":"https://www.wikidata.org/wiki/Q181328","display_name":"Bernoulli's principle","level":2,"score":0.7352104187011719},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6288686990737915},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5171091556549072},{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.4755166172981262},{"id":"https://openalex.org/C114237110","wikidata":"https://www.wikidata.org/wiki/Q114901","display_name":"Gate array","level":3,"score":0.4544336199760437},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4182501435279846},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4171411693096161},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.4019986391067505},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.30361059308052063},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.3014715015888214},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2651274800300598},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.19516798853874207},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11283764243125916},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3390/info15110667","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info15110667","pdf_url":null,"source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"is_oa":true,"is_in_doaj":true,"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":"Information","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:400eb906058046a684a669cc4b3a7210","is_oa":true,"landing_page_url":"https://doaj.org/article/400eb906058046a684a669cc4b3a7210","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","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Information, Vol 15, Iss 11, p 667 (2024)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.3390/info15110667","is_oa":true,"landing_page_url":"https://doi.org/10.3390/info15110667","pdf_url":null,"source":{"id":"https://openalex.org/S4210219776","display_name":"Information","issn_l":"2078-2489","issn":["2078-2489"],"is_oa":true,"is_in_doaj":true,"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":"Information","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2390043738","display_name":null,"funder_award_id":"SIP-20240745","funder_id":"https://openalex.org/F4320321694","funder_display_name":"Instituto Polit\u00e9cnico Nacional"},{"id":"https://openalex.org/G5517388731","display_name":null,"funder_award_id":"12704013","funder_id":"https://openalex.org/F4320322419","funder_display_name":"Universidad Aut\u00f3noma Metropolitana"}],"funders":[{"id":"https://openalex.org/F4320321694","display_name":"Instituto Polit\u00e9cnico Nacional","ror":"https://ror.org/059sp8j34"},{"id":"https://openalex.org/F4320322419","display_name":"Universidad Aut\u00f3noma Metropolitana","ror":"https://ror.org/02kta5139"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":68,"referenced_works":["https://openalex.org/W865336706","https://openalex.org/W1493193822","https://openalex.org/W1499254069","https://openalex.org/W1970984047","https://openalex.org/W2000093475","https://openalex.org/W2010006328","https://openalex.org/W2052107471","https://openalex.org/W2069733826","https://openalex.org/W2136038769","https://openalex.org/W2416004429","https://openalex.org/W2538953366","https://openalex.org/W2801893904","https://openalex.org/W2908897809","https://openalex.org/W2913843556","https://openalex.org/W2918149988","https://openalex.org/W2924210827","https://openalex.org/W2945443413","https://openalex.org/W2970150948","https://openalex.org/W2970166586","https://openalex.org/W2993715147","https://openalex.org/W2994069755","https://openalex.org/W2998636469","https://openalex.org/W3006581805","https://openalex.org/W3017363450","https://openalex.org/W3026129889","https://openalex.org/W3036399271","https://openalex.org/W3037414779","https://openalex.org/W3044837464","https://openalex.org/W3082281723","https://openalex.org/W3096835339","https://openalex.org/W3166661253","https://openalex.org/W3176828784","https://openalex.org/W3207119159","https://openalex.org/W4210526817","https://openalex.org/W4220669322","https://openalex.org/W4220810698","https://openalex.org/W4221006440","https://openalex.org/W4224281089","https://openalex.org/W4225273948","https://openalex.org/W4226286855","https://openalex.org/W4243494487","https://openalex.org/W4282934350","https://openalex.org/W4285274508","https://openalex.org/W4300135078","https://openalex.org/W4307021528","https://openalex.org/W4310214751","https://openalex.org/W4319068553","https://openalex.org/W4320914343","https://openalex.org/W4363649113","https://openalex.org/W4377098670","https://openalex.org/W4377225451","https://openalex.org/W4378619467","https://openalex.org/W4379033998","https://openalex.org/W4379184365","https://openalex.org/W4389076276","https://openalex.org/W4390562821","https://openalex.org/W4391594003","https://openalex.org/W4392026749","https://openalex.org/W4392895840","https://openalex.org/W4396631891","https://openalex.org/W4398763644","https://openalex.org/W4401357923","https://openalex.org/W4401389795","https://openalex.org/W6765440178","https://openalex.org/W6774234099","https://openalex.org/W6809273481","https://openalex.org/W6858599967","https://openalex.org/W6862069317"],"related_works":["https://openalex.org/W2772380824","https://openalex.org/W2104480405","https://openalex.org/W2893991715","https://openalex.org/W2062045810","https://openalex.org/W1534576401","https://openalex.org/W2988803943","https://openalex.org/W2367136314","https://openalex.org/W3103095306","https://openalex.org/W3124991594","https://openalex.org/W2626887348"],"abstract_inverted_index":{"Certain":[0],"methods":[1],"for":[2,25],"implementing":[3],"chaotic":[4,34,42,67,101,130],"maps":[5],"can":[6],"lead":[7],"to":[8,169],"dynamic":[9],"degradation":[10],"of":[11,57,66,74,116,186],"the":[12,58,64,79,82,104,125,171,178],"generated":[13],"number":[14,28,68,83],"sequences.":[15],"To":[16],"solve":[17],"such":[18],"a":[19,23,40,71,90,94,99,113,129],"problem,":[20],"we":[21,38,97,127,158,176],"develop":[22,98],"method":[24],"generating":[26],"pseudorandom":[27],"sequences":[29,69],"based":[30],"on":[31,50],"multiple":[32],"one-dimensional":[33],"maps.":[35],"In":[36],"particular,":[37],"introduce":[39],"Bernoulli":[41,107],"map":[43],"that":[44,164],"utilizes":[45],"function":[46],"transformations":[47],"and":[48,93,133,145,154,188],"constraints":[49],"its":[51,135],"control":[52],"parameter,":[53],"covering":[54],"complementary":[55],"regions":[56],"phase":[59,75],"space.":[60,190],"This":[61],"approach":[62],"allows":[63],"generation":[65,85],"with":[70,181],"wide":[72],"coverage":[73],"space,":[76],"thereby":[77],"increasing":[78],"uncertainty":[80],"in":[81,184],"sequence":[84],"process.":[86,174],"Moreover,":[87],"by":[88],"incorporating":[89],"scaling":[91],"factor":[92],"sine":[95],"function,":[96],"robust":[100],"map,":[102],"called":[103],"Sine-Multiple":[105],"Modified":[106],"Chaotic":[108],"Map":[109],"(SM-MBCM),":[110],"which":[111],"ensures":[112],"high":[114],"degree":[115],"randomness,":[117],"validated":[118],"through":[119,137],"statistical":[120,144],"mechanics":[121],"analysis":[122],"tools.":[123],"Using":[124],"SM-MBCM,":[126],"propose":[128],"PRNG":[131],"(CPRNG)":[132],"evaluate":[134],"quality":[136],"correlation":[138],"coefficient":[139],"analysis,":[140,147,153],"key":[141,148,189],"sensitivity":[142],"tests,":[143],"entropy":[146],"space":[149],"evaluation,":[150],"linear":[151],"complexity":[152],"performance":[155],"tests.":[156],"Furthermore,":[157],"present":[159],"an":[160],"FPGA-based":[161],"implementation":[162,173],"scheme":[163],"leverages":[165],"equivalent":[166],"MBCM":[167],"variants":[168],"optimize":[170],"electronic":[172],"Finally,":[175],"compare":[177],"proposed":[179],"system":[180],"existing":[182],"designs":[183],"terms":[185],"throughput":[187]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}