{"id":"https://openalex.org/W2589941777","doi":"https://doi.org/10.1109/tit.2018.2792490","title":"On the Expansion Complexity of Sequences Over Finite Fields","display_name":"On the Expansion Complexity of Sequences Over Finite Fields","publication_year":2018,"publication_date":"2018-01-15","ids":{"openalex":"https://openalex.org/W2589941777","doi":"https://doi.org/10.1109/tit.2018.2792490","mag":"2589941777"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2018.2792490","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2018.2792490","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/A5063691894","display_name":"Domingo G\u00f3mez\u2010P\u00e9rez","orcid":"https://orcid.org/0000-0002-5780-2165"},"institutions":[{"id":"https://openalex.org/I13134134","display_name":"Universidad de Cantabria","ror":"https://ror.org/046ffzj20","country_code":"ES","type":"education","lineage":["https://openalex.org/I13134134"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Domingo Gomez-Perez","raw_affiliation_strings":["Department of Mathematics, University of Cantabria, Santander, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Cantabria, Santander, Spain","institution_ids":["https://openalex.org/I13134134"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037793363","display_name":"L\u00e1szl\u00f3 M\u00e9rai","orcid":"https://orcid.org/0000-0002-0437-7855"},"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":"Laszlo Merai","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria"],"raw_orcid":"https://orcid.org/0000-0002-0437-7855","affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria","institution_ids":["https://openalex.org/I4210158379","https://openalex.org/I138211613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086124758","display_name":"Harald Niederreiter","orcid":"https://orcid.org/0000-0001-6224-9969"},"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":"Harald Niederreiter","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria"],"raw_orcid":"https://orcid.org/0000-0001-6224-9969","affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Austrian Academy of Sciences, Linz, Austria","institution_ids":["https://openalex.org/I4210158379","https://openalex.org/I138211613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.8448,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.79479245,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"64","issue":"6","first_page":"4228","last_page":"4232"},"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9965000152587891,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9962999820709229,"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/finite-field","display_name":"Finite field","score":0.6352511644363403},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.6089377403259277},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5477764010429382},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.5152483582496643},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4031452536582947},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.39857858419418335},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3810713291168213},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35015571117401123}],"concepts":[{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6352511644363403},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.6089377403259277},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5477764010429382},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.5152483582496643},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4031452536582947},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.39857858419418335},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3810713291168213},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35015571117401123}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tit.2018.2792490","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2018.2792490","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"},{"id":"pmh:oai:repositorio.unican.es:10902/15501","is_oa":false,"landing_page_url":"http://hdl.handle.net/10902/15501","pdf_url":null,"source":{"id":"https://openalex.org/S4306400398","display_name":"UCrea (University of Cantabria)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13134134","host_organization_name":"Universidad de Cantabria","host_organization_lineage":["https://openalex.org/I13134134"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"IEEE Transactions on Information Theory, Volume: 64, Issue: 6, June 2018, Page(s): 4228 - 4232","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1736015652","display_name":null,"funder_award_id":"MTM2014-55421-P","funder_id":"https://openalex.org/F4320321837","funder_display_name":"Ministerio de Econom\u00eda y Competitividad"},{"id":"https://openalex.org/G7845541865","display_name":null,"funder_award_id":"F5511-N26","funder_id":"https://openalex.org/F4320321181","funder_display_name":"Austrian Science Fund"}],"funders":[{"id":"https://openalex.org/F4320321181","display_name":"Austrian Science Fund","ror":"https://ror.org/013tf3c58"},{"id":"https://openalex.org/F4320321837","display_name":"Ministerio de Econom\u00eda y Competitividad","ror":"https://ror.org/034900433"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W175277515","https://openalex.org/W1515061872","https://openalex.org/W1559623872","https://openalex.org/W2104436223","https://openalex.org/W2158323623","https://openalex.org/W2419676999","https://openalex.org/W2485820268","https://openalex.org/W2583175817","https://openalex.org/W3103347853","https://openalex.org/W4245724425","https://openalex.org/W6607091222"],"related_works":["https://openalex.org/W2893614166","https://openalex.org/W3028761860","https://openalex.org/W1496619607","https://openalex.org/W2963904738","https://openalex.org/W3087436867","https://openalex.org/W4287664047","https://openalex.org/W1806182398","https://openalex.org/W2964302506","https://openalex.org/W3093954335","https://openalex.org/W4205482204"],"abstract_inverted_index":{"In":[0,15],"2012,":[1],"Diem":[2],"introduced":[3],"a":[4],"new":[5],"figure":[6],"of":[7,53],"merit":[8],"for":[9,33],"cryptographic":[10],"sequences":[11],"called":[12],"expansion":[13,44,51],"complexity.":[14,45],"this":[16,21],"paper,":[17],"we":[18,47],"slightly":[19],"modify":[20],"notion":[22],"to":[23],"obtain":[24],"the":[25,39,42,50,54],"so-called":[26],"irreducible-expansion":[27],"complexity":[28,52],"which":[29],"is":[30],"more":[31],"suitable":[32],"certain":[34],"applications.":[35],"We":[36],"analyze":[37],"both,":[38],"classical":[40],"and":[41],"modified":[43],"Moreover,":[46],"also":[48],"study":[49],"explicit":[55],"inversive":[56],"congruential":[57],"generator.":[58]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
