{"id":"https://openalex.org/W4414633952","doi":"https://doi.org/10.1515/mcma-2025-2017","title":"Moving permuted congruential generators beyond linear congruential generators","display_name":"Moving permuted congruential generators beyond linear congruential generators","publication_year":2025,"publication_date":"2025-09-30","ids":{"openalex":"https://openalex.org/W4414633952","doi":"https://doi.org/10.1515/mcma-2025-2017"},"language":"en","primary_location":{"id":"doi:10.1515/mcma-2025-2017","is_oa":true,"landing_page_url":"https://doi.org/10.1515/mcma-2025-2017","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://doi.org/10.1515/mcma-2025-2017","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5119771424","display_name":"Christopher Draper","orcid":null},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Christopher Draper","raw_affiliation_strings":["Department of Computer Science , Florida State University , Tallahassee , FL 32304 , USA"],"raw_orcid":"https://orcid.org/0009-0008-9422-350X","affiliations":[{"raw_affiliation_string":"Department of Computer Science , Florida State University , Tallahassee , FL 32304 , USA","institution_ids":["https://openalex.org/I103163165"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071387306","display_name":"Michael Mascagni","orcid":"https://orcid.org/0000-0003-3058-4580"},"institutions":[{"id":"https://openalex.org/I103163165","display_name":"Florida State University","ror":"https://ror.org/05g3dte14","country_code":"US","type":"education","lineage":["https://openalex.org/I103163165"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Michael Mascagni","raw_affiliation_strings":["Department of Computer Science , Florida State University , Tallahassee , FL 32304 , USA"],"raw_orcid":"https://orcid.org/0000-0003-3058-4580","affiliations":[{"raw_affiliation_string":"Department of Computer Science , Florida State University , Tallahassee , FL 32304 , USA","institution_ids":["https://openalex.org/I103163165"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"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":0.22412108,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"4","first_page":"265","last_page":"277"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9973000288009644,"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":0.9973000288009644,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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":0.9908000230789185,"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":0.9315999746322632},{"id":"https://openalex.org/keywords/scrambling","display_name":"Scrambling","score":0.9212999939918518},{"id":"https://openalex.org/keywords/linear-congruential-generator","display_name":"Linear congruential generator","score":0.863099992275238},{"id":"https://openalex.org/keywords/random-number-generation","display_name":"Random number generation","score":0.6582000255584717},{"id":"https://openalex.org/keywords/pseudorandom-generator-theorem","display_name":"Pseudorandom generator theorem","score":0.6430000066757202},{"id":"https://openalex.org/keywords/generator","display_name":"Generator (circuit theory)","score":0.47279998660087585}],"concepts":[{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.9315999746322632},{"id":"https://openalex.org/C182548165","wikidata":"https://www.wikidata.org/wiki/Q2261483","display_name":"Scrambling","level":2,"score":0.9212999939918518},{"id":"https://openalex.org/C141890704","wikidata":"https://www.wikidata.org/wiki/Q1190228","display_name":"Linear congruential generator","level":3,"score":0.863099992275238},{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.6582000255584717},{"id":"https://openalex.org/C180233235","wikidata":"https://www.wikidata.org/wiki/Q7255475","display_name":"Pseudorandom generator theorem","level":4,"score":0.6430000066757202},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4837999939918518},{"id":"https://openalex.org/C2780992000","wikidata":"https://www.wikidata.org/wiki/Q17016113","display_name":"Generator (circuit theory)","level":3,"score":0.47279998660087585},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44110000133514404},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4275999963283539},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.36660000681877136},{"id":"https://openalex.org/C92913381","wikidata":"https://www.wikidata.org/wiki/Q7255474","display_name":"Pseudorandom generator","level":3,"score":0.29190000891685486},{"id":"https://openalex.org/C19086982","wikidata":"https://www.wikidata.org/wiki/Q2115856","display_name":"Pseudorandomness","level":3,"score":0.288100004196167},{"id":"https://openalex.org/C207768971","wikidata":"https://www.wikidata.org/wiki/Q17084187","display_name":"Self-shrinking generator","level":4,"score":0.2741999924182892},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.263700008392334}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1515/mcma-2025-2017","is_oa":true,"landing_page_url":"https://doi.org/10.1515/mcma-2025-2017","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1515/mcma-2025-2017","is_oa":true,"landing_page_url":"https://doi.org/10.1515/mcma-2025-2017","pdf_url":null,"source":{"id":"https://openalex.org/S142132501","display_name":"Monte Carlo Methods and Applications","issn_l":"0929-9629","issn":["0929-9629","1569-3961"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Monte Carlo Methods and Applications","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1533955387","https://openalex.org/W1963898916","https://openalex.org/W1985437717","https://openalex.org/W2028166798","https://openalex.org/W2035743124","https://openalex.org/W2038568271","https://openalex.org/W2074547998","https://openalex.org/W2075075402","https://openalex.org/W2086611351","https://openalex.org/W2095595785","https://openalex.org/W2111849286","https://openalex.org/W2621293236","https://openalex.org/W2900190845","https://openalex.org/W2968153595","https://openalex.org/W3035965352","https://openalex.org/W3039200488","https://openalex.org/W3097010303","https://openalex.org/W3099878876","https://openalex.org/W4240267682","https://openalex.org/W4293371001","https://openalex.org/W4400499291","https://openalex.org/W4407915321"],"related_works":[],"abstract_inverted_index":{"Abstract":[0],"The":[1,19,67],"permuted":[2,117],"congruential":[3,32,46,112,118],"generators":[4,11,87,132],"is":[5],"a":[6,78],"set":[7],"of":[8,43,52,74],"pseudorandom":[9,80,130,142],"number":[10,81,131,143],"released":[12],"by":[13,133],"Melissa":[14],"E.":[15],"O\u2019Neill":[16],"in":[17,89],"2014.":[18],"original":[20],"technical":[21,68,91],"report":[22,69],"outlined":[23],"several":[24,86],"lightweight":[25],"scrambling":[26,35,54,107,120,136],"techniques":[27,55,108,121,137],"designed":[28],"for":[29,109,125],"the":[30,41,44,49,53,72,75,90,95,98,116,135],"linear":[31,45,111],"generator.":[33,47],"Each":[34],"technique":[36],"offered":[37],"some":[38],"improvement":[39],"to":[40,128,138],"quality":[42],"However,":[48],"real":[50],"strength":[51],"was":[56,101],"that":[57,84,97],"they":[58],"could":[59],"be":[60],"combined":[61],"into":[62],"multiple":[63],"overall":[64],"stronger":[65],"scramblers.":[66],"concludes":[70],"with":[71],"creation":[73],"PCG":[76],"library,":[77],"popular":[79],"generation":[82],"library":[83],"implements":[85],"described":[88],"report.":[92],"Starting":[93],"from":[94],"observation":[96],"paper\u2019s":[99],"work":[100,139],"narrowly":[102],"focused":[103],"on":[104],"implementing":[105],"their":[106,123],"specific":[110],"generators,":[113],"we":[114],"explore":[115],"generator":[119],"and":[122],"potential":[124],"being":[126],"applied":[127],"other":[129],"generalizing":[134],"across":[140],"different":[141],"generators.":[144]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}