{"id":"https://openalex.org/W2054944103","doi":"https://doi.org/10.1007/s10623-005-3190-x","title":"On the Linear Complexity Profile of Nonlinear Congruential Pseudorandom Number Generators with Dickson Polynomials","display_name":"On the Linear Complexity Profile of Nonlinear Congruential Pseudorandom Number Generators with Dickson Polynomials","publication_year":2006,"publication_date":"2006-03-20","ids":{"openalex":"https://openalex.org/W2054944103","doi":"https://doi.org/10.1007/s10623-005-3190-x","mag":"2054944103"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-005-3190-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-005-3190-x","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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":null,"display_name":"Hassan Aly","orcid":null},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Hassan Aly","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt","Department of Mathematics, Faculty of Science , Cairo University , Giza , Egypt"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt","institution_ids":["https://openalex.org/I145487455"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science , Cairo University , Giza , Egypt","institution_ids":["https://openalex.org/I145487455"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056642780","display_name":"Arne Winterhof","orcid":"https://orcid.org/0000-0002-3863-1110"},"institutions":[{"id":"https://openalex.org/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"id":"https://openalex.org/I4210158379","display_name":"Johann Radon Institute for Computational and Applied Mathematics","ror":"https://ror.org/05a94k872","country_code":"AT","type":"facility","lineage":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Arne Winterhof","raw_affiliation_strings":["Johann Radon Institute of Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergerstr. 69, 4040, Linz, Austria","Johann Radon Institute of Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria 4040"],"affiliations":[{"raw_affiliation_string":"Johann Radon Institute of Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergerstr. 69, 4040, Linz, Austria","institution_ids":["https://openalex.org/I4210158379","https://openalex.org/I138211613"]},{"raw_affiliation_string":"Johann Radon Institute of Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria 4040","institution_ids":["https://openalex.org/I138211613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I145487455"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.8248,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.69297666,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"39","issue":"2","first_page":"155","last_page":"162"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9470000267028809,"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"}},"topics":[{"id":"https://openalex.org/T13234","display_name":"advanced mathematical theories","score":0.9470000267028809,"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/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.916100025177002,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.9667338728904724},{"id":"https://openalex.org/keywords/pseudorandomness","display_name":"Pseudorandomness","score":0.9060420989990234},{"id":"https://openalex.org/keywords/linear-congruential-generator","display_name":"Linear congruential generator","score":0.8929527997970581},{"id":"https://openalex.org/keywords/pseudorandom-generator-theorem","display_name":"Pseudorandom generator theorem","score":0.8654112815856934},{"id":"https://openalex.org/keywords/random-number-generation","display_name":"Random number generation","score":0.6668542623519897},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6278828382492065},{"id":"https://openalex.org/keywords/pseudorandom-generator","display_name":"Pseudorandom generator","score":0.5744280815124512},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.564373254776001},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.48029229044914246},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.4798511862754822},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.44662269949913025},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3209688663482666},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07683956623077393},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06965461373329163},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.053515464067459106}],"concepts":[{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.9667338728904724},{"id":"https://openalex.org/C19086982","wikidata":"https://www.wikidata.org/wiki/Q2115856","display_name":"Pseudorandomness","level":3,"score":0.9060420989990234},{"id":"https://openalex.org/C141890704","wikidata":"https://www.wikidata.org/wiki/Q1190228","display_name":"Linear congruential generator","level":3,"score":0.8929527997970581},{"id":"https://openalex.org/C180233235","wikidata":"https://www.wikidata.org/wiki/Q7255475","display_name":"Pseudorandom generator theorem","level":4,"score":0.8654112815856934},{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.6668542623519897},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6278828382492065},{"id":"https://openalex.org/C92913381","wikidata":"https://www.wikidata.org/wiki/Q7255474","display_name":"Pseudorandom generator","level":3,"score":0.5744280815124512},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.564373254776001},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.48029229044914246},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.4798511862754822},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.44662269949913025},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3209688663482666},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07683956623077393},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06965461373329163},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.053515464067459106},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-005-3190-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-005-3190-x","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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":8,"referenced_works":["https://openalex.org/W1512374421","https://openalex.org/W1546597647","https://openalex.org/W1561602969","https://openalex.org/W2018462124","https://openalex.org/W2123087644","https://openalex.org/W2124831681","https://openalex.org/W2136767493","https://openalex.org/W4239280186"],"related_works":["https://openalex.org/W44435986","https://openalex.org/W2054944103","https://openalex.org/W1994207320","https://openalex.org/W1972193539","https://openalex.org/W2966058278","https://openalex.org/W2161451071","https://openalex.org/W2050598895","https://openalex.org/W2033896979","https://openalex.org/W1516055552","https://openalex.org/W147864474"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2026-04-16T08:26:57.006410","created_date":"2025-10-10T00:00:00"}