{"id":"https://openalex.org/W2643593347","doi":"https://doi.org/10.5220/0006418502950302","title":"One Random Jump and One Permutation: Sufficient Conditions to Chaotic, Statistically Faultless, and Large Throughput PRNG for FPGA","display_name":"One Random Jump and One Permutation: Sufficient Conditions to Chaotic, Statistically Faultless, and Large Throughput PRNG for FPGA","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2643593347","doi":"https://doi.org/10.5220/0006418502950302","mag":"2643593347"},"language":"en","primary_location":{"id":"doi:10.5220/0006418502950302","is_oa":false,"landing_page_url":"https://doi.org/10.5220/0006418502950302","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 14th International Joint Conference on e-Business and Telecommunications","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1706.08093","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5106787354","display_name":"Mohammed Bakiri","orcid":null},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"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/I4405256580","https://openalex.org/I53262699"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Mohammed Bakiri","raw_affiliation_strings":["FEMTO-ST Institute, UMR 6174 CNRS, Universit\u00e9 of Bourgogne Franche, Centre de D\u00e9veloppement des Technologies Avanc\u00e9es and ASM-IPLS Team, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FEMTO-ST Institute, UMR 6174 CNRS, Universit\u00e9 of Bourgogne Franche, Centre de D\u00e9veloppement des Technologies Avanc\u00e9es and ASM-IPLS Team, France","institution_ids":["https://openalex.org/I2802759292","https://openalex.org/I1294671590"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045365430","display_name":"Jean-Fran\u00e7ois Couchot","orcid":"https://orcid.org/0000-0001-6437-5598"},"institutions":[{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"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/I4405256580","https://openalex.org/I53262699"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Jean-Fran\u00e7ois Couchot","raw_affiliation_strings":["FEMTO-ST Institute, UMR 6174 CNRS and Universit\u00e9 of Bourgogne Franche, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FEMTO-ST Institute, UMR 6174 CNRS and Universit\u00e9 of Bourgogne Franche, France","institution_ids":["https://openalex.org/I2802759292","https://openalex.org/I1294671590"]}]},{"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":"government","lineage":["https://openalex.org/I1294671590"]},{"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/I4405256580","https://openalex.org/I53262699"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Christophe Guyeux","raw_affiliation_strings":["FEMTO-ST Institute, UMR 6174 CNRS and Universit\u00e9 of Bourgogne Franche, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"FEMTO-ST Institute, UMR 6174 CNRS and Universit\u00e9 of Bourgogne Franche, France","institution_ids":["https://openalex.org/I2802759292","https://openalex.org/I1294671590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06551776,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"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":0.998199999332428,"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/T10244","display_name":"Chaos control and synchronization","score":0.9944000244140625,"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/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.8363552093505859},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.7303114533424377},{"id":"https://openalex.org/keywords/field-programmable-gate-array","display_name":"Field-programmable gate array","score":0.7275722026824951},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.6758387684822083},{"id":"https://openalex.org/keywords/random-number-generation","display_name":"Random number generation","score":0.6231428384780884},{"id":"https://openalex.org/keywords/pseudorandom-generator-theorem","display_name":"Pseudorandom generator theorem","score":0.6196980476379395},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.607993483543396},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5280077457427979},{"id":"https://openalex.org/keywords/throughput","display_name":"Throughput","score":0.5151042342185974},{"id":"https://openalex.org/keywords/jump","display_name":"Jump","score":0.4705018699169159},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4468129277229309},{"id":"https://openalex.org/keywords/random-permutation","display_name":"Random permutation","score":0.43006765842437744},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3940611481666565},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3646668791770935},{"id":"https://openalex.org/keywords/pseudorandom-generator","display_name":"Pseudorandom generator","score":0.30213281512260437},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.2471984624862671},{"id":"https://openalex.org/keywords/computer-hardware","display_name":"Computer hardware","score":0.20210203528404236}],"concepts":[{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.8363552093505859},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.7303114533424377},{"id":"https://openalex.org/C42935608","wikidata":"https://www.wikidata.org/wiki/Q190411","display_name":"Field-programmable gate array","level":2,"score":0.7275722026824951},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.6758387684822083},{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.6231428384780884},{"id":"https://openalex.org/C180233235","wikidata":"https://www.wikidata.org/wiki/Q7255475","display_name":"Pseudorandom generator theorem","level":4,"score":0.6196980476379395},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.607993483543396},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5280077457427979},{"id":"https://openalex.org/C157764524","wikidata":"https://www.wikidata.org/wiki/Q1383412","display_name":"Throughput","level":3,"score":0.5151042342185974},{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.4705018699169159},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4468129277229309},{"id":"https://openalex.org/C200985842","wikidata":"https://www.wikidata.org/wiki/Q3375503","display_name":"Random permutation","level":3,"score":0.43006765842437744},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3940611481666565},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3646668791770935},{"id":"https://openalex.org/C92913381","wikidata":"https://www.wikidata.org/wiki/Q7255474","display_name":"Pseudorandom generator","level":3,"score":0.30213281512260437},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.2471984624862671},{"id":"https://openalex.org/C9390403","wikidata":"https://www.wikidata.org/wiki/Q3966","display_name":"Computer hardware","level":1,"score":0.20210203528404236},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C128622974","wikidata":"https://www.wikidata.org/wiki/Q849512","display_name":"Symmetric group","level":2,"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0},{"id":"https://openalex.org/C555944384","wikidata":"https://www.wikidata.org/wiki/Q249","display_name":"Wireless","level":2,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.5220/0006418502950302","is_oa":false,"landing_page_url":"https://doi.org/10.5220/0006418502950302","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 14th International Joint Conference on e-Business and Telecommunications","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1706.08093","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1706.08093","pdf_url":"https://arxiv.org/pdf/1706.08093","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"},{"id":"mag:2643593347","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1706.08093.pdf","pdf_url":null,"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":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1706.08093","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1706.08093","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1706.08093","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1706.08093","pdf_url":"https://arxiv.org/pdf/1706.08093","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W65805790","https://openalex.org/W1967008192","https://openalex.org/W1970442252","https://openalex.org/W1976546042","https://openalex.org/W1996359063","https://openalex.org/W2006886955","https://openalex.org/W2027804622","https://openalex.org/W2043523826","https://openalex.org/W2047476733","https://openalex.org/W2059340344","https://openalex.org/W2065915862","https://openalex.org/W2102892532","https://openalex.org/W2103787876","https://openalex.org/W2117993944","https://openalex.org/W2125566231","https://openalex.org/W2125831042","https://openalex.org/W2128725322","https://openalex.org/W2157758856","https://openalex.org/W2159097436","https://openalex.org/W2167833136","https://openalex.org/W2399357094","https://openalex.org/W2471791811","https://openalex.org/W2510976663","https://openalex.org/W2547887102","https://openalex.org/W2586490810","https://openalex.org/W2612437499","https://openalex.org/W2951622668","https://openalex.org/W2964028460"],"related_works":["https://openalex.org/W2964177603","https://openalex.org/W2902638796","https://openalex.org/W2047476733","https://openalex.org/W2958928751","https://openalex.org/W2065462054","https://openalex.org/W3171132384","https://openalex.org/W2018799613","https://openalex.org/W3176828784","https://openalex.org/W2491267244","https://openalex.org/W3017028162","https://openalex.org/W2362240725","https://openalex.org/W2184866572","https://openalex.org/W1027710095","https://openalex.org/W1993808993","https://openalex.org/W2366888303","https://openalex.org/W2901050362","https://openalex.org/W2068911409","https://openalex.org/W252978712","https://openalex.org/W3126271027","https://openalex.org/W3002188027"],"abstract_inverted_index":{"Sub-categories":[0],"of":[1,8,40,63,92,107],"mathematical":[2,6],"topology,":[3],"like":[4],"the":[5,38,45,49,70,102,122],"theory":[7],"chaos,":[9],"offer":[10],"interesting":[11],"applications":[12],"devoted":[13],"to":[14,100,117],"information":[15],"security.":[16],"In":[17],"this":[18],"research":[19],"work,":[20],"we":[21,59],"have":[22],"introduced":[23],"a":[24,41,61,75,85,113],"new":[25],"chaos-based":[26],"pseudorandom":[27,67],"number":[28],"generator":[29,72,126],"implemented":[30],"in":[31],"FPGA,":[32],"which":[33],"is":[34],"mainly":[35],"based":[36],"on":[37,48,65],"deletion":[39],"Hamilton":[42],"cycle":[43],"within":[44],"$n$-cube":[46],"(or":[47],"vectorial":[50],"negation),":[51],"plus":[52],"one":[53],"single":[54],"permutation.":[55],"By":[56],"doing":[57],"so,":[58],"produce":[60],"kind":[62],"post-treatment":[64],"hardware":[66],"generators,":[68],"but":[69],"obtained":[71],"has":[73],"usually":[74],"better":[76],"statistical":[77],"profile":[78],"than":[79],"its":[80],"input,":[81],"while":[82],"running":[83],"at":[84],"similar":[86],"speed.":[87],"We":[88],"tested":[89],"6":[90],"combinations":[91],"Boolean":[93],"functions":[94],"and":[95],"strategies":[96],"that":[97,127],"all":[98],"achieve":[99],"pass":[101,129],"most":[103],"stringent":[104],"TestU01":[105],"battery":[106],"tests.":[108],"This":[109],"generation":[110],"can":[111,128],"reach":[112],"throughput/latency":[114],"ratio":[115],"equal":[116],"6.7":[118],"Gbps,":[119],"being":[120],"thus":[121],"second":[123],"fastest":[124],"FPGA":[125],"TestU01.":[130]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}