{"id":"https://openalex.org/W3001135238","doi":"https://doi.org/10.1109/iwsda46143.2019.8966109","title":"Relations Between Evaluations of NIST Tests and Lyapunov Exponents of Sequences Generated by the Piecewise Logistic Map over Integers","display_name":"Relations Between Evaluations of NIST Tests and Lyapunov Exponents of Sequences Generated by the Piecewise Logistic Map over Integers","publication_year":2019,"publication_date":"2019-10-01","ids":{"openalex":"https://openalex.org/W3001135238","doi":"https://doi.org/10.1109/iwsda46143.2019.8966109","mag":"3001135238"},"language":"en","primary_location":{"id":"doi:10.1109/iwsda46143.2019.8966109","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwsda46143.2019.8966109","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA)","raw_type":"proceedings-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/A5065007819","display_name":"Sota Eguchi","orcid":null},"institutions":[{"id":"https://openalex.org/I17056963","display_name":"The University of Kitakyushu","ror":"https://ror.org/03mfefw72","country_code":"JP","type":"education","lineage":["https://openalex.org/I17056963"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Sota Eguchi","raw_affiliation_strings":["Graduate School of Environmental Engineering, The Univ. of Kitakyusyu"],"affiliations":[{"raw_affiliation_string":"Graduate School of Environmental Engineering, The Univ. of Kitakyusyu","institution_ids":["https://openalex.org/I17056963"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102345418","display_name":"Takeru Miyazaki","orcid":null},"institutions":[{"id":"https://openalex.org/I17056963","display_name":"The University of Kitakyushu","ror":"https://ror.org/03mfefw72","country_code":"JP","type":"education","lineage":["https://openalex.org/I17056963"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takeru Miyazaki","raw_affiliation_strings":["Faculty of Environmental Engineering, The Univ. of Kitakyushu"],"affiliations":[{"raw_affiliation_string":"Faculty of Environmental Engineering, The Univ. of Kitakyushu","institution_ids":["https://openalex.org/I17056963"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101085714","display_name":"Shunsuke Araki","orcid":null},"institutions":[{"id":"https://openalex.org/I207014233","display_name":"Kyushu Institute of Technology","ror":"https://ror.org/02278tr80","country_code":"JP","type":"education","lineage":["https://openalex.org/I207014233"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shunsuke Araki","raw_affiliation_strings":["Faculty of Computer Science and Systems Engineering, Kyushu Inst. of Technology"],"affiliations":[{"raw_affiliation_string":"Faculty of Computer Science and Systems Engineering, Kyushu Inst. of Technology","institution_ids":["https://openalex.org/I207014233"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029372795","display_name":"Satoshi Uehara","orcid":"https://orcid.org/0000-0002-1467-5047"},"institutions":[{"id":"https://openalex.org/I17056963","display_name":"The University of Kitakyushu","ror":"https://ror.org/03mfefw72","country_code":"JP","type":"education","lineage":["https://openalex.org/I17056963"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Satoshi Uehara","raw_affiliation_strings":["Faculty of Environmental Engineering, The Univ. of Kitakyushu"],"affiliations":[{"raw_affiliation_string":"Faculty of Environmental Engineering, The Univ. of Kitakyushu","institution_ids":["https://openalex.org/I17056963"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065515042","display_name":"Yasuyuki Nogami","orcid":"https://orcid.org/0000-0001-6247-0719"},"institutions":[{"id":"https://openalex.org/I163770644","display_name":"Okayama University","ror":"https://ror.org/02pc6pc55","country_code":"JP","type":"education","lineage":["https://openalex.org/I163770644"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yasuyuki Nogami","raw_affiliation_strings":["Graduate School of Natural Science and Technology, Okayama University"],"affiliations":[{"raw_affiliation_string":"Graduate School of Natural Science and Technology, Okayama University","institution_ids":["https://openalex.org/I163770644"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5065007819"],"corresponding_institution_ids":["https://openalex.org/I17056963"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.1677981,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9997000098228455,"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":0.9997000098228455,"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":0.9973000288009644,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9968000054359436,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/lyapunov-exponent","display_name":"Lyapunov exponent","score":0.9219496250152588},{"id":"https://openalex.org/keywords/nist","display_name":"NIST","score":0.8457670211791992},{"id":"https://openalex.org/keywords/piecewise","display_name":"Piecewise","score":0.804725170135498},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7464154362678528},{"id":"https://openalex.org/keywords/logistic-map","display_name":"Logistic map","score":0.6722487211227417},{"id":"https://openalex.org/keywords/piecewise-linear-function","display_name":"Piecewise linear function","score":0.5094106793403625},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.4626745581626892},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35031524300575256},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26057296991348267},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.2249445915222168},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.13609173893928528},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1294519305229187},{"id":"https://openalex.org/keywords/chaotic","display_name":"Chaotic","score":0.1043873131275177}],"concepts":[{"id":"https://openalex.org/C191544260","wikidata":"https://www.wikidata.org/wiki/Q1238630","display_name":"Lyapunov exponent","level":3,"score":0.9219496250152588},{"id":"https://openalex.org/C111219384","wikidata":"https://www.wikidata.org/wiki/Q6954384","display_name":"NIST","level":2,"score":0.8457670211791992},{"id":"https://openalex.org/C164660894","wikidata":"https://www.wikidata.org/wiki/Q2037833","display_name":"Piecewise","level":2,"score":0.804725170135498},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7464154362678528},{"id":"https://openalex.org/C205330730","wikidata":"https://www.wikidata.org/wiki/Q587182","display_name":"Logistic map","level":3,"score":0.6722487211227417},{"id":"https://openalex.org/C17095337","wikidata":"https://www.wikidata.org/wiki/Q2375229","display_name":"Piecewise linear function","level":2,"score":0.5094106793403625},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.4626745581626892},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35031524300575256},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26057296991348267},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.2249445915222168},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.13609173893928528},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1294519305229187},{"id":"https://openalex.org/C2777052490","wikidata":"https://www.wikidata.org/wiki/Q5072826","display_name":"Chaotic","level":2,"score":0.1043873131275177},{"id":"https://openalex.org/C204321447","wikidata":"https://www.wikidata.org/wiki/Q30642","display_name":"Natural language processing","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/iwsda46143.2019.8966109","is_oa":false,"landing_page_url":"https://doi.org/10.1109/iwsda46143.2019.8966109","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 Ninth International Workshop on Signal Design and its Applications in Communications (IWSDA)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1517403092","https://openalex.org/W1970650503","https://openalex.org/W2094397235","https://openalex.org/W2321871990","https://openalex.org/W2593707145","https://openalex.org/W6734397180"],"related_works":["https://openalex.org/W3017028162","https://openalex.org/W3111883714","https://openalex.org/W1997621773","https://openalex.org/W2951182675","https://openalex.org/W3111547351","https://openalex.org/W3159256893","https://openalex.org/W2947966936","https://openalex.org/W2542960427","https://openalex.org/W3001135238","https://openalex.org/W2584442475"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3,43,92],"focus":[4],"on":[5,76],"binary":[6],"sequences":[7,102],"obtained":[8],"from":[9],"piecewise":[10,89],"logistic":[11,90],"map":[12],"over":[13],"integers,":[14],"and":[15,26,51],"show":[16],"the":[17,20,24,29,33,36,46,52,67,71,77,80,84,88,105,110],"relation":[18],"between":[19],"Lyapunov":[21,37,72],"exponents":[22,73],"of":[23,28,65,70,79,87,109],"maps":[25],"results":[27],"NIST":[30,81],"tests":[31],"for":[32],"sequences.":[34],"When":[35],"exponent":[38],"is":[39,49,56],"a":[40,63],"negative":[41],"value,":[42],"confirm":[44],"that":[45,66,96],"branch":[47],"diagram":[48,86],"sparse":[50],"bit":[53],"occurrence":[54],"rate":[55],"also":[57,61],"greatly":[58],"biased.":[59],"We":[60],"give":[62],"sample":[64],"positive/negative":[68],"signs":[69],"mostly":[74],"coincide":[75],"evaluations":[78],"tests.":[82],"From":[83],"branching":[85],"map,":[91],"can":[93],"moreover":[94],"find":[95],"there":[97],"are":[98],"many":[99],"good":[100],"pseudorandom":[101],"generated":[103],"by":[104],"individual":[106],"control":[107],"parameters":[108],"map.":[111]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
