{"id":"https://openalex.org/W1972186222","doi":"https://doi.org/10.1007/s00200-003-0116-6","title":"Lattice Structure and Linear Complexity Profile of Nonlinear Pseudorandom Number Generators","display_name":"Lattice Structure and Linear Complexity Profile of Nonlinear Pseudorandom Number Generators","publication_year":2003,"publication_date":"2003-04-01","ids":{"openalex":"https://openalex.org/W1972186222","doi":"https://doi.org/10.1007/s00200-003-0116-6","mag":"1972186222"},"language":"en","primary_location":{"id":"doi:10.1007/s00200-003-0116-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-003-0116-6","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","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/A5073642606","display_name":"Gerhard Dorfer","orcid":null},"institutions":[{"id":"https://openalex.org/I145847075","display_name":"TU Wien","ror":"https://ror.org/04d836q62","country_code":"AT","type":"education","lineage":["https://openalex.org/I145847075"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Gerhard Dorfer","raw_affiliation_strings":["Department of Algebra and Computational Mathematics, Vienna University of Technology, Wiedner Hauptstr. 8\u201310/118, 1040 Vienna, Austria (e-mail: g.dorfer@tuwien.ac.at), , , , , , AT","Department of Algebra and Computational Mathematics, Vienna University of Technology, Wiedner Hauptstr. 8\u201310/118, 1040 Vienna, Austria (e-mail: g.dorfer@tuwien.ac.at), AT"],"affiliations":[{"raw_affiliation_string":"Department of Algebra and Computational Mathematics, Vienna University of Technology, Wiedner Hauptstr. 8\u201310/118, 1040 Vienna, Austria (e-mail: g.dorfer@tuwien.ac.at), , , , , , AT","institution_ids":["https://openalex.org/I145847075"]},{"raw_affiliation_string":"Department of Algebra and Computational Mathematics, Vienna University of Technology, Wiedner Hauptstr. 8\u201310/118, 1040 Vienna, Austria (e-mail: g.dorfer@tuwien.ac.at), AT","institution_ids":["https://openalex.org/I145847075"]}]},{"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":"funder","lineage":["https://openalex.org/I138211613"]}],"countries":["AT"],"is_corresponding":false,"raw_author_name":"Arne Winterhof","raw_affiliation_strings":["Institute of Discrete Mathematics, Austrian Academy of Sciences, Fleischmarkt 20\u201322/2, 1010 Vienna, Austria (e-mail: gerhard.dorfer@oeaw.ac.at, arne.winterhof@oeaw.ac.at), , , , , , AT","Institute of Discrete Mathematics, Austrian Academy of Sciences, Fleischmarkt 20\u201322/2, 1010 Vienna, Austria (e-mail: gerhard.dorfer@oeaw.ac.at, arne.winterhof@oeaw.ac.at), , AT"],"affiliations":[{"raw_affiliation_string":"Institute of Discrete Mathematics, Austrian Academy of Sciences, Fleischmarkt 20\u201322/2, 1010 Vienna, Austria (e-mail: gerhard.dorfer@oeaw.ac.at, arne.winterhof@oeaw.ac.at), , , , , , AT","institution_ids":["https://openalex.org/I138211613"]},{"raw_affiliation_string":"Institute of Discrete Mathematics, Austrian Academy of Sciences, Fleischmarkt 20\u201322/2, 1010 Vienna, Austria (e-mail: gerhard.dorfer@oeaw.ac.at, arne.winterhof@oeaw.ac.at), , AT","institution_ids":["https://openalex.org/I138211613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5073642606"],"corresponding_institution_ids":["https://openalex.org/I145847075"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":3.7828,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.93515272,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"13","issue":"6","first_page":"499","last_page":"508"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11017","display_name":"Chaos-based Image/Signal Encryption","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9984999895095825,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9972000122070312,"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":0.9448332190513611},{"id":"https://openalex.org/keywords/pseudorandomness","display_name":"Pseudorandomness","score":0.6049476265907288},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.5551933646202087},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5161617398262024},{"id":"https://openalex.org/keywords/random-number-generation","display_name":"Random number generation","score":0.5060262084007263},{"id":"https://openalex.org/keywords/linear-congruential-generator","display_name":"Linear congruential generator","score":0.5023975372314453},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.45077869296073914},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4434114098548889},{"id":"https://openalex.org/keywords/pseudorandom-generator-theorem","display_name":"Pseudorandom generator theorem","score":0.43448472023010254},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3723282217979431},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34645235538482666},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.2901269197463989},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.09604156017303467}],"concepts":[{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.9448332190513611},{"id":"https://openalex.org/C19086982","wikidata":"https://www.wikidata.org/wiki/Q2115856","display_name":"Pseudorandomness","level":3,"score":0.6049476265907288},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.5551933646202087},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5161617398262024},{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.5060262084007263},{"id":"https://openalex.org/C141890704","wikidata":"https://www.wikidata.org/wiki/Q1190228","display_name":"Linear congruential generator","level":3,"score":0.5023975372314453},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.45077869296073914},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4434114098548889},{"id":"https://openalex.org/C180233235","wikidata":"https://www.wikidata.org/wiki/Q7255475","display_name":"Pseudorandom generator theorem","level":4,"score":0.43448472023010254},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3723282217979431},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34645235538482666},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.2901269197463989},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.09604156017303467},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C163258240","wikidata":"https://www.wikidata.org/wiki/Q25342","display_name":"Power (physics)","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00200-003-0116-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00200-003-0116-6","pdf_url":null,"source":{"id":"https://openalex.org/S44535979","display_name":"Applicable Algebra in Engineering Communication and Computing","issn_l":"0938-1279","issn":["0938-1279","1432-0622"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applicable Algebra in Engineering, Communication and Computing","raw_type":"journal-article"},{"id":"pmh:oai:scholarbank.nus.edu.sg:10635/132770","is_oa":false,"landing_page_url":"http://scholarbank.nus.edu.sg/handle/10635/132770","pdf_url":null,"source":{"id":"https://openalex.org/S7407052290","display_name":"National University of Singapore","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Scopus","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W8529777","https://openalex.org/W349560520","https://openalex.org/W1499829935","https://openalex.org/W1553513225","https://openalex.org/W1559375430","https://openalex.org/W1586944506","https://openalex.org/W1660562555","https://openalex.org/W1767246049","https://openalex.org/W1975950310","https://openalex.org/W1976217148","https://openalex.org/W2011383678","https://openalex.org/W2037656036","https://openalex.org/W2043419861","https://openalex.org/W2055360862","https://openalex.org/W2080017147","https://openalex.org/W2112846031","https://openalex.org/W2156605838","https://openalex.org/W2162442687"],"related_works":["https://openalex.org/W2054944103","https://openalex.org/W1994207320","https://openalex.org/W1972193539","https://openalex.org/W2161451071","https://openalex.org/W2011090873","https://openalex.org/W147864474","https://openalex.org/W2033896979","https://openalex.org/W2055489884","https://openalex.org/W44435986","https://openalex.org/W3112950156"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
