{"id":"https://openalex.org/W2963427995","doi":"https://doi.org/10.1109/tit.2014.2343225","title":"Sequences With High Nonlinear Complexity","display_name":"Sequences With High Nonlinear Complexity","publication_year":2014,"publication_date":"2014-08-06","ids":{"openalex":"https://openalex.org/W2963427995","doi":"https://doi.org/10.1109/tit.2014.2343225","mag":"2963427995"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2014.2343225","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2343225","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","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/A5086124758","display_name":"Harald Niederreiter","orcid":"https://orcid.org/0000-0001-6224-9969"},"institutions":[{"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"]},{"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"]},{"id":"https://openalex.org/I182212641","display_name":"University of Salzburg","ror":"https://ror.org/05gs8cd61","country_code":"AT","type":"education","lineage":["https://openalex.org/I182212641"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Harald Niederreiter","raw_affiliation_strings":["Austrian Academy of Sciences, Johann Radon Institute for Computational and Applied Mathematics, Linz, Austria","Department of Mathematics, University of Salzburg, Salzburg, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Austrian Academy of Sciences, Johann Radon Institute for Computational and Applied Mathematics, Linz, Austria","institution_ids":["https://openalex.org/I4210158379","https://openalex.org/I138211613"]},{"raw_affiliation_string":"Department of Mathematics, University of Salzburg, Salzburg, Austria","institution_ids":["https://openalex.org/I182212641"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019628468","display_name":"Chaoping Xing","orcid":"https://orcid.org/0000-0002-1257-1033"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Chaoping Xing","raw_affiliation_strings":["Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, School of Physical and Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086124758"],"corresponding_institution_ids":["https://openalex.org/I138211613","https://openalex.org/I182212641","https://openalex.org/I4210158379"],"apc_list":null,"apc_paid":null,"fwci":2.9599,"has_fulltext":false,"cited_by_count":31,"citation_normalized_percentile":{"value":0.9269659,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"60","issue":"10","first_page":"6696","last_page":"6701"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.9991000294685364,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"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":0.8068230152130127},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.7004729509353638},{"id":"https://openalex.org/keywords/nonlinear-system","display_name":"Nonlinear system","score":0.6639336943626404},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6045398116111755},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.587717592716217},{"id":"https://openalex.org/keywords/hermitian-matrix","display_name":"Hermitian matrix","score":0.5779092311859131},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.4857083261013031},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4779122769832611},{"id":"https://openalex.org/keywords/pseudorandomness","display_name":"Pseudorandomness","score":0.4474866986274719},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3800044059753418},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3329372704029083},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.17715764045715332},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08802813291549683},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07710644602775574}],"concepts":[{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.8068230152130127},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7004729509353638},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.6639336943626404},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6045398116111755},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.587717592716217},{"id":"https://openalex.org/C94940","wikidata":"https://www.wikidata.org/wiki/Q652941","display_name":"Hermitian matrix","level":2,"score":0.5779092311859131},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.4857083261013031},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4779122769832611},{"id":"https://openalex.org/C19086982","wikidata":"https://www.wikidata.org/wiki/Q2115856","display_name":"Pseudorandomness","level":3,"score":0.4474866986274719},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3800044059753418},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3329372704029083},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.17715764045715332},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08802813291549683},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07710644602775574},{"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:10.1109/tit.2014.2343225","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2014.2343225","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320320766","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302"},{"id":"https://openalex.org/F4320321004","display_name":"\u00d6sterreichischen Akademie der Wissenschaften","ror":"https://ror.org/03anc3s24"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W41582297","https://openalex.org/W175277515","https://openalex.org/W1511103811","https://openalex.org/W1515061872","https://openalex.org/W1519692838","https://openalex.org/W1557415002","https://openalex.org/W1586646666","https://openalex.org/W1592642225","https://openalex.org/W1635163887","https://openalex.org/W1745598067","https://openalex.org/W1833843757","https://openalex.org/W1978677317","https://openalex.org/W2018350661","https://openalex.org/W2031500387","https://openalex.org/W2060383189","https://openalex.org/W2077770566","https://openalex.org/W2124831681","https://openalex.org/W2149345169","https://openalex.org/W2169537832","https://openalex.org/W2485820268","https://openalex.org/W2913925549","https://openalex.org/W4239691897","https://openalex.org/W4245724425","https://openalex.org/W4300580367","https://openalex.org/W6607091222","https://openalex.org/W6630864431","https://openalex.org/W6630995122","https://openalex.org/W6833280749"],"related_works":["https://openalex.org/W2082419723","https://openalex.org/W3203585077","https://openalex.org/W4241950541","https://openalex.org/W2185337847","https://openalex.org/W2176553175","https://openalex.org/W1994207320","https://openalex.org/W2343905204","https://openalex.org/W2143898630","https://openalex.org/W3087294829","https://openalex.org/W2064782508"],"abstract_inverted_index":{"We":[0],"improve":[1],"lower":[2],"bounds":[3],"on":[4,33],"the":[5,34,37],"k":[6,38],"th-order":[7,39],"nonlinear":[8,40],"complexity":[9,41],"of":[10,36,42],"pseudorandom":[11],"sequences":[12,19,21,44],"over":[13,45],"finite":[14,46],"fields,":[15,26],"including":[16],"explicit":[17],"inversive":[18],"and":[20,27],"obtained":[22],"from":[23],"Hermitian":[24],"function":[25],"we":[28],"establish":[29],"a":[30],"probabilistic":[31],"result":[32],"behavior":[35],"random":[43],"fields.":[47]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":4},{"year":2015,"cited_by_count":3}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}
