{"id":"https://openalex.org/W2105531809","doi":"https://doi.org/10.1080/00207169208804085","title":"Critical distances in pseudorandom sequences generated with composite moduli","display_name":"Critical distances in pseudorandom sequences generated with composite moduli","publication_year":1992,"publication_date":"1992-01-01","ids":{"openalex":"https://openalex.org/W2105531809","doi":"https://doi.org/10.1080/00207169208804085","mag":"2105531809"},"language":"en","primary_location":{"id":"doi:10.1080/00207169208804085","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169208804085","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-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/A5018682553","display_name":"A. De Matteis","orcid":null},"institutions":[{"id":"https://openalex.org/I110120368","display_name":"National Agency for New Technologies, Energy and Sustainable Economic Development","ror":"https://ror.org/02an8es95","country_code":"IT","type":"funder","lineage":["https://openalex.org/I110120368"]}],"countries":["IT"],"is_corresponding":true,"raw_author_name":"A. De Matteis","raw_affiliation_strings":["Divisione Calcolo , ENEA, V. , Mazzini 2, Bologna,  Italy"],"affiliations":[{"raw_affiliation_string":"Divisione Calcolo , ENEA, V. , Mazzini 2, Bologna,  Italy","institution_ids":["https://openalex.org/I110120368"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5013803393","display_name":"S. Pagnutti","orcid":"https://orcid.org/0009-0000-3479-138X"},"institutions":[{"id":"https://openalex.org/I110120368","display_name":"National Agency for New Technologies, Energy and Sustainable Economic Development","ror":"https://ror.org/02an8es95","country_code":"IT","type":"funder","lineage":["https://openalex.org/I110120368"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"S. Pagnutti","raw_affiliation_strings":["Divisione Calcolo , ENEA, V. , Mazzini 2, Bologna,  Italy"],"affiliations":[{"raw_affiliation_string":"Divisione Calcolo , ENEA, V. , Mazzini 2, Bologna,  Italy","institution_ids":["https://openalex.org/I110120368"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5018682553"],"corresponding_institution_ids":["https://openalex.org/I110120368"],"apc_list":null,"apc_paid":null,"fwci":0.5391,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.71665201,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"43","issue":"3-4","first_page":"189","last_page":"196"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9790999889373779,"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":0.9790999889373779,"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/T11130","display_name":"Coding theory and cryptography","score":0.9706000089645386,"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"}},{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":0.9359999895095825,"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/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.9273536205291748},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6892694234848022},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6512119174003601},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5882267951965332},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.5869081020355225},{"id":"https://openalex.org/keywords/moduli","display_name":"Moduli","score":0.5027568340301514},{"id":"https://openalex.org/keywords/random-number-generation","display_name":"Random number generation","score":0.48157405853271484},{"id":"https://openalex.org/keywords/pseudorandom-generator-theorem","display_name":"Pseudorandom generator theorem","score":0.47594237327575684},{"id":"https://openalex.org/keywords/pseudorandom-binary-sequence","display_name":"Pseudorandom binary sequence","score":0.4268898665904999},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.42194557189941406},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38799917697906494},{"id":"https://openalex.org/keywords/pseudorandom-generator","display_name":"Pseudorandom generator","score":0.34273821115493774},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33973926305770874},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.33918696641921997},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13520443439483643},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06178826093673706}],"concepts":[{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.9273536205291748},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6892694234848022},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6512119174003601},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5882267951965332},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.5869081020355225},{"id":"https://openalex.org/C121089165","wikidata":"https://www.wikidata.org/wiki/Q6889796","display_name":"Moduli","level":2,"score":0.5027568340301514},{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.48157405853271484},{"id":"https://openalex.org/C180233235","wikidata":"https://www.wikidata.org/wiki/Q7255475","display_name":"Pseudorandom generator theorem","level":4,"score":0.47594237327575684},{"id":"https://openalex.org/C128040838","wikidata":"https://www.wikidata.org/wiki/Q1810628","display_name":"Pseudorandom binary sequence","level":3,"score":0.4268898665904999},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.42194557189941406},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38799917697906494},{"id":"https://openalex.org/C92913381","wikidata":"https://www.wikidata.org/wiki/Q7255474","display_name":"Pseudorandom generator","level":3,"score":0.34273821115493774},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33973926305770874},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.33918696641921997},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13520443439483643},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06178826093673706},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"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/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","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":1,"locations":[{"id":"doi:10.1080/00207169208804085","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207169208804085","pdf_url":null,"source":{"id":"https://openalex.org/S124867444","display_name":"International Journal of Computer Mathematics","issn_l":"0020-7160","issn":["0020-7160","1026-7425","1029-0265"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Computer Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W251628717","https://openalex.org/W1499829935","https://openalex.org/W1971665461","https://openalex.org/W1971781329","https://openalex.org/W1989565915","https://openalex.org/W2018770205","https://openalex.org/W2040846421","https://openalex.org/W2069501123","https://openalex.org/W2143511725","https://openalex.org/W2924447586"],"related_works":["https://openalex.org/W2343905204","https://openalex.org/W2323815561","https://openalex.org/W2163616027","https://openalex.org/W3197588836","https://openalex.org/W3037248839","https://openalex.org/W2286080255","https://openalex.org/W2054944103","https://openalex.org/W1990774234","https://openalex.org/W1537173196","https://openalex.org/W3003473353"],"abstract_inverted_index":{"In":[0],"periodic":[1],"sequences":[2],"of":[3,21,41,45],"pseudorandom":[4,75],"numbers":[5],"generated":[6],"by":[7],"multiplicative":[8],"congruential":[9],"schemes,":[10],"terms":[11],"at":[12],"certain":[13],"critical":[14],"distances":[15,31],"are":[16],"strongly":[17],"correlated.":[18],"For":[19,39],"powers":[20],"two":[22],"moduli":[23],"a":[24,73],"fast":[25],"arithmetic":[26],"method":[27],"for":[28],"computing":[29],"these":[30],"is":[32,77],"given":[33],"and":[34],"applied":[35],"to":[36,55],"several":[37],"generators.":[38],"all":[40],"them":[42],"the":[43,46,60],"length":[44],"sequence":[47,76],"that":[48],"can":[49],"be":[50,56,65],"safely":[51],"used":[52],"turns":[53],"out":[54],"much":[57],"shorter":[58],"than":[59],"period.":[61],"These":[62],"correlations":[63],"should":[64],"taken":[66],"into":[67],"account":[68],"in":[69],"parallel":[70],"computations":[71],"when":[72],"single":[74],"partitioned":[78],"among":[79],"concurrent":[80],"processors.":[81]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}