{"id":"https://openalex.org/W2068978958","doi":"https://doi.org/10.1006/jcta.1998.2920","title":"On the Minimum Linear Complexity of de Bruijn Sequences over Non-prime Finite Fields","display_name":"On the Minimum Linear Complexity of de Bruijn Sequences over Non-prime Finite Fields","publication_year":1999,"publication_date":"1999-04-01","ids":{"openalex":"https://openalex.org/W2068978958","doi":"https://doi.org/10.1006/jcta.1998.2920","mag":"2068978958"},"language":"en","primary_location":{"id":"doi:10.1006/jcta.1998.2920","is_oa":false,"landing_page_url":"https://doi.org/10.1006/jcta.1998.2920","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","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/A5018309696","display_name":"Peter A. Hines","orcid":null},"institutions":[{"id":"https://openalex.org/I184558857","display_name":"Royal Holloway University of London","ror":"https://ror.org/04g2vpn86","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I184558857"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Peter A. Hines","raw_affiliation_strings":["Department of Mathematics, Royal Holloway, University of London, Egham, Surrey, TW20 0EX, United Kingdom","Department of Mathematics, Royal Holloway University of London, Egham, Surrey, TW20 0EX, United Kingdom"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Royal Holloway, University of London, Egham, Surrey, TW20 0EX, United Kingdom","institution_ids":["https://openalex.org/I184558857"]},{"raw_affiliation_string":"Department of Mathematics, Royal Holloway University of London, Egham, Surrey, TW20 0EX, United Kingdom","institution_ids":["https://openalex.org/I184558857"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5018309696"],"corresponding_institution_ids":["https://openalex.org/I184558857"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.13713023,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"86","issue":"1","first_page":"127","last_page":"139"},"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/T12162","display_name":"Cellular Automata and Applications","score":0.9966999888420105,"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"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9930999875068665,"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/de-bruijn-sequence","display_name":"De Bruijn sequence","score":0.969757080078125},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.7394903898239136},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7187362909317017},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.6759989857673645},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.6201211810112},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6156982183456421},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6053158640861511},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.5451473593711853},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49883365631103516},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.44707268476486206},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.20489194989204407},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1677955687046051}],"concepts":[{"id":"https://openalex.org/C170320093","wikidata":"https://www.wikidata.org/wiki/Q1953457","display_name":"De Bruijn sequence","level":2,"score":0.969757080078125},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.7394903898239136},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7187362909317017},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.6759989857673645},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.6201211810112},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6156982183456421},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6053158640861511},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5451473593711853},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49883365631103516},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.44707268476486206},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.20489194989204407},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1677955687046051},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1006/jcta.1998.2920","is_oa":false,"landing_page_url":"https://doi.org/10.1006/jcta.1998.2920","pdf_url":null,"source":{"id":"https://openalex.org/S128556326","display_name":"Journal of Combinatorial Theory Series A","issn_l":"0097-3165","issn":["0097-3165","1096-0899"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Combinatorial Theory, Series A","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":9,"referenced_works":["https://openalex.org/W1986762795","https://openalex.org/W2001783445","https://openalex.org/W2018332397","https://openalex.org/W2037656036","https://openalex.org/W2079556185","https://openalex.org/W2089093353","https://openalex.org/W2136293990","https://openalex.org/W2330548796","https://openalex.org/W2613956024"],"related_works":["https://openalex.org/W3198016531","https://openalex.org/W127787461","https://openalex.org/W2039773446","https://openalex.org/W1998517951","https://openalex.org/W2126473010","https://openalex.org/W2397939707","https://openalex.org/W2089093353","https://openalex.org/W2000248785","https://openalex.org/W1955455432","https://openalex.org/W4299961354"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}