{"id":"https://openalex.org/W4234043616","doi":"https://doi.org/10.1109/wsc.2005.1574317","title":"A Test of Randomness Based on the Distance Between Consecutive Random Number Pairs","display_name":"A Test of Randomness Based on the Distance Between Consecutive Random Number Pairs","publication_year":2006,"publication_date":"2006-01-25","ids":{"openalex":"https://openalex.org/W4234043616","doi":"https://doi.org/10.1109/wsc.2005.1574317"},"language":"en","primary_location":{"id":"doi:10.1109/wsc.2005.1574317","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wsc.2005.1574317","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Winter Simulation Conference, 2005.","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/A5016383580","display_name":"M.J. Duggan","orcid":null},"institutions":[{"id":"https://openalex.org/I16285277","display_name":"William & Mary","ror":"https://ror.org/03hsf0573","country_code":"US","type":"education","lineage":["https://openalex.org/I16285277"]},{"id":"https://openalex.org/I267592682","display_name":"Williams (United States)","ror":"https://ror.org/007zhvp17","country_code":"US","type":"company","lineage":["https://openalex.org/I267592682"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"M.J. Duggan","raw_affiliation_strings":["Department of Mathematics, The College of William and Mary, Williamsburg, VA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The College of William and Mary, Williamsburg, VA, USA","institution_ids":["https://openalex.org/I16285277","https://openalex.org/I267592682"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5113859735","display_name":"John H. Drew","orcid":null},"institutions":[{"id":"https://openalex.org/I16285277","display_name":"William & Mary","ror":"https://ror.org/03hsf0573","country_code":"US","type":"education","lineage":["https://openalex.org/I16285277"]},{"id":"https://openalex.org/I267592682","display_name":"Williams (United States)","ror":"https://ror.org/007zhvp17","country_code":"US","type":"company","lineage":["https://openalex.org/I267592682"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J.H. Drew","raw_affiliation_strings":["Department of Mathematics, The College of William and Mary, Williamsburg, VA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The College of William and Mary, Williamsburg, VA, USA","institution_ids":["https://openalex.org/I16285277","https://openalex.org/I267592682"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057011822","display_name":"Lawrence M. Leemis","orcid":"https://orcid.org/0000-0001-9071-985X"},"institutions":[{"id":"https://openalex.org/I16285277","display_name":"William & Mary","ror":"https://ror.org/03hsf0573","country_code":"US","type":"education","lineage":["https://openalex.org/I16285277"]},{"id":"https://openalex.org/I267592682","display_name":"Williams (United States)","ror":"https://ror.org/007zhvp17","country_code":"US","type":"company","lineage":["https://openalex.org/I267592682"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"L.M. Leemis","raw_affiliation_strings":["Department of Mathematics, The College of William and Mary, Williamsburg, VA, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The College of William and Mary, Williamsburg, VA, USA","institution_ids":["https://openalex.org/I16285277","https://openalex.org/I267592682"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2709,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.54207656,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"2","issue":null,"first_page":"741","last_page":"748"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9721999764442444,"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":0.9721999764442444,"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/T11697","display_name":"Numerical Methods and Algorithms","score":0.9679999947547913,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9545999765396118,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/randomness","display_name":"Randomness","score":0.8409964442253113},{"id":"https://openalex.org/keywords/random-number-generation","display_name":"Random number generation","score":0.7914031744003296},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.5983903408050537},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5586961507797241},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.5565885901451111},{"id":"https://openalex.org/keywords/convolution-random-number-generator","display_name":"Convolution random number generator","score":0.5488612055778503},{"id":"https://openalex.org/keywords/randomness-tests","display_name":"Randomness tests","score":0.48483121395111084},{"id":"https://openalex.org/keywords/random-function","display_name":"Random function","score":0.47011199593544006},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.45890727639198303},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.422759473323822},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4141075313091278},{"id":"https://openalex.org/keywords/random-variable","display_name":"Random variable","score":0.36409369111061096},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3579411506652832},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.30970633029937744},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2278820276260376},{"id":"https://openalex.org/keywords/power","display_name":"Power (physics)","score":0.08378955721855164}],"concepts":[{"id":"https://openalex.org/C125112378","wikidata":"https://www.wikidata.org/wiki/Q176640","display_name":"Randomness","level":2,"score":0.8409964442253113},{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.7914031744003296},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.5983903408050537},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5586961507797241},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.5565885901451111},{"id":"https://openalex.org/C116643974","wikidata":"https://www.wikidata.org/wiki/Q5166606","display_name":"Convolution random number generator","level":4,"score":0.5488612055778503},{"id":"https://openalex.org/C18017163","wikidata":"https://www.wikidata.org/wiki/Q13560113","display_name":"Randomness tests","level":3,"score":0.48483121395111084},{"id":"https://openalex.org/C13929819","wikidata":"https://www.wikidata.org/wiki/Q176737","display_name":"Random function","level":3,"score":0.47011199593544006},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.45890727639198303},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.422759473323822},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4141075313091278},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.36409369111061096},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3579411506652832},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30970633029937744},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2278820276260376},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.08378955721855164},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/wsc.2005.1574317","is_oa":false,"landing_page_url":"https://doi.org/10.1109/wsc.2005.1574317","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the Winter Simulation Conference, 2005.","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":12,"referenced_works":["https://openalex.org/W207182081","https://openalex.org/W2011398297","https://openalex.org/W2063332143","https://openalex.org/W2080267268","https://openalex.org/W2137605830","https://openalex.org/W2163035440","https://openalex.org/W2752061190","https://openalex.org/W2970576388","https://openalex.org/W3191078705","https://openalex.org/W4234043616","https://openalex.org/W6744529318","https://openalex.org/W6799138994"],"related_works":["https://openalex.org/W1534576401","https://openalex.org/W4295788780","https://openalex.org/W2987824994","https://openalex.org/W1538400789","https://openalex.org/W2743589874","https://openalex.org/W3102296243","https://openalex.org/W2158367025","https://openalex.org/W2164713281","https://openalex.org/W2964148189","https://openalex.org/W2489103938"],"abstract_inverted_index":{"One":[0],"of":[1,6,29,56,73,83,104,109],"the":[2,57,65,80,84,87,107,110],"most":[3],"popular":[4],"methods":[5],"generating":[7],"\"random\"":[8],"numbers":[9,30,59],"for":[10,106],"use":[11],"in":[12,47,62,97],"a":[13,17,44,70,92,101],"computer":[14],"program":[15],"employs":[16],"Lehmer":[18],"random":[19,33,49,94,111],"number":[20,50,72,95,112],"generator.":[21,113],"If":[22],"constructed":[23],"properly,":[24],"these":[25,48],"generators":[26],"yield":[27],"streams":[28],"that":[31],"appear":[32],"but":[34],"can":[35],"also":[36],"be":[37],"easily":[38],"replicated.":[39],"However,":[40],"Marsaglia":[41],"(1968)":[42],"discovered":[43],"potential":[45],"flaw":[46],"generators,":[51],"namely,":[52],"if":[53],"consecutive":[54],"n-tuples":[55],"generated":[58],"are":[60],"plotted":[61],"n-dimensional":[63],"space,":[64],"points":[66],"may":[67],"fall":[68],"into":[69],"small":[71],"hyperplanes.":[74],"In":[75],"this":[76],"paper,":[77],"we":[78],"compare":[79],"theoretical":[81],"distribution":[82],"distances":[85,89],"to":[86,99],"actual":[88],"produced":[90],"by":[91],"specific":[93],"generator":[96],"order":[98],"devise":[100],"statistical":[102],"test":[103],"randomness":[105],"validity":[108]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":4},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}