{"id":"https://openalex.org/W2121999256","doi":"https://doi.org/10.1109/isit.2008.4595422","title":"Linear complexity of prime n-square sequences","display_name":"Linear complexity of prime n-square sequences","publication_year":2008,"publication_date":"2008-07-01","ids":{"openalex":"https://openalex.org/W2121999256","doi":"https://doi.org/10.1109/isit.2008.4595422","mag":"2121999256"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2008.4595422","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2008.4595422","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"},"type":"conference-paper","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/A5065896630","display_name":"Young-Joon Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Young-Joon Kim","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea","Sch. of Electr. & Electron. Eng., YonSei Univ., Seoul"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]},{"raw_affiliation_string":"Sch. of Electr. & Electron. Eng., YonSei Univ., Seoul","institution_ids":["https://openalex.org/I193775966"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103014761","display_name":"Hong-Yeop Song","orcid":null},"institutions":[{"id":"https://openalex.org/I193775966","display_name":"Yonsei University","ror":"https://ror.org/01wjejq96","country_code":"KR","type":"education","lineage":["https://openalex.org/I193775966"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Hong-Yeop Song","raw_affiliation_strings":["School of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea","School of Electrical and Electronic Eng., Yonsei University, Seoul, 121-749 Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electrical and Electronic Engineering, Yonsei University, Seoul, South Korea","institution_ids":["https://openalex.org/I193775966"]},{"raw_affiliation_string":"School of Electrical and Electronic Eng., Yonsei University, Seoul, 121-749 Korea","institution_ids":["https://openalex.org/I193775966"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I193775966"],"apc_list":null,"apc_paid":null,"fwci":1.5108,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.82893067,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"2405","last_page":"2408"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.998199999332428,"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":0.998199999332428,"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":0.995199978351593,"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"}},{"id":"https://openalex.org/T14500","display_name":"Advanced Mathematical Theories","score":0.9624999761581421,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.788366436958313},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5750739574432373},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5178585052490234},{"id":"https://openalex.org/keywords/square","display_name":"Square (algebra)","score":0.512582004070282},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5089445114135742},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.500241756439209},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4729333221912384},{"id":"https://openalex.org/keywords/prime-number","display_name":"Prime number","score":0.4532323181629181},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4500562846660614},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.43110162019729614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3474631905555725}],"concepts":[{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.788366436958313},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5750739574432373},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5178585052490234},{"id":"https://openalex.org/C135692309","wikidata":"https://www.wikidata.org/wiki/Q111124","display_name":"Square (algebra)","level":2,"score":0.512582004070282},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5089445114135742},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.500241756439209},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4729333221912384},{"id":"https://openalex.org/C113429393","wikidata":"https://www.wikidata.org/wiki/Q49008","display_name":"Prime number","level":2,"score":0.4532323181629181},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4500562846660614},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.43110162019729614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3474631905555725},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2008.4595422","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2008.4595422","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2008 IEEE International Symposium on Information Theory","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1501721930","https://openalex.org/W1565408255","https://openalex.org/W1975564632","https://openalex.org/W2005138802","https://openalex.org/W2010201168","https://openalex.org/W2024297538","https://openalex.org/W2031207368","https://openalex.org/W2112846031","https://openalex.org/W2170049228","https://openalex.org/W2986001730","https://openalex.org/W3143088247","https://openalex.org/W4247327016","https://openalex.org/W4249325674"],"related_works":["https://openalex.org/W2003101256","https://openalex.org/W4281800544","https://openalex.org/W306052976","https://openalex.org/W2046177514","https://openalex.org/W4387070058","https://openalex.org/W4315481288","https://openalex.org/W2047954281","https://openalex.org/W3101321773","https://openalex.org/W4232276891","https://openalex.org/W3112335383"],"abstract_inverted_index":{"We":[0],"review":[1],"prime":[2,22],"n-square":[3],"sequences":[4,43,52],"of":[5,41,58,61],"length":[6],"pnwhich":[7],"is":[8,19,25,57],"originally":[9],"defined":[10],"by":[11],"Ding":[12],"and":[13,23,37],"Helleseth":[14],"in":[15],"1998,":[16],"where":[17],"p":[18],"an":[20],"odd":[21],"n":[24],"a":[26],"positive":[27],"integer.":[28],"In":[29],"this":[30],"paper,":[31],"we":[32],"determine":[33],"the":[34,38,59,62],"linear":[35,54],"complexity":[36,55],"minimal":[39],"polynomial":[40],"these":[42,51],"for":[44],"any":[45],"n.":[46],"It":[47],"turned":[48],"out":[49],"that":[50,56],"have":[53],"order":[60],"period":[63],"pn.":[64]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}