{"id":"https://openalex.org/W2216707378","doi":"https://doi.org/10.1109/tit.2011.2133730","title":"A New Family of $p$-Ary Sequences of Period $(p^n-1)/2$ With Low Correlation","display_name":"A New Family of $p$-Ary Sequences of Period $(p^n-1)/2$ With Low Correlation","publication_year":2011,"publication_date":"2011-05-25","ids":{"openalex":"https://openalex.org/W2216707378","doi":"https://doi.org/10.1109/tit.2011.2133730","mag":"2216707378"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2011.2133730","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2133730","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/A5047492038","display_name":"Ji-Youp Kim","orcid":null},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Ji-Youp Kim","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, INMC, Seoul National University, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, INMC, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071203769","display_name":"Sung-Tai Choi","orcid":null},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Sung-Tai Choi","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, INMC, Seoul National University, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, INMC, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5000078617","display_name":"Jong\u2010Seon No","orcid":"https://orcid.org/0000-0002-3946-0958"},"institutions":[{"id":"https://openalex.org/I139264467","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542","country_code":"KR","type":"education","lineage":["https://openalex.org/I139264467"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jong-Seon No","raw_affiliation_strings":["Department of Electrical Engineering and Computer Science, INMC, Seoul National University, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Computer Science, INMC, Seoul National University, Seoul, South Korea","institution_ids":["https://openalex.org/I139264467"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100809892","display_name":"Habong Chung","orcid":null},"institutions":[{"id":"https://openalex.org/I94588446","display_name":"Hongik University","ror":"https://ror.org/00egdv862","country_code":"KR","type":"education","lineage":["https://openalex.org/I94588446"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Habong Chung","raw_affiliation_strings":["School of Electronics and Electrical Engineering, Hongik University, Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Electronics and Electrical Engineering, Hongik University, Seoul, South Korea","institution_ids":["https://openalex.org/I94588446"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.65,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.93565022,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"57","issue":"6","first_page":"3825","last_page":"3830"},"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/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"}},{"id":"https://openalex.org/T10849","display_name":"Finite Group Theory Research","score":0.9887999892234802,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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":0.3530639410018921},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.30551135540008545},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.21680253744125366}],"concepts":[{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.3530639410018921},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.30551135540008545},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.21680253744125366}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2011.2133730","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2133730","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/F4320321292","display_name":"Seoul National University","ror":"https://ror.org/04h9pn542"},{"id":"https://openalex.org/F4320332641","display_name":"University at Buffalo","ror":"https://ror.org/01y64my43"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1542915664","https://openalex.org/W2024483577","https://openalex.org/W2089277105","https://openalex.org/W2105476675","https://openalex.org/W2106235749","https://openalex.org/W2108998869","https://openalex.org/W2140420535","https://openalex.org/W2147468739","https://openalex.org/W2156237015","https://openalex.org/W2168997931","https://openalex.org/W2169822785","https://openalex.org/W2330548796"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W4288278856","https://openalex.org/W2572370460","https://openalex.org/W1976691234"],"abstract_inverted_index":{"For":[0],"an":[1,9],"odd":[2,10],"primepcongruent":[3],"to":[4,68],"3":[5],"modulo":[6],"4":[7],"and":[8,30,41,81],"integern,":[11],"a":[12],"new":[13],"family":[14,25,55,93],"ofp-ary":[15],"sequences":[16],"of":[17,32,50,53,91,103],"periodN=(pn-1)/2":[18],"with":[19,36],"low":[20],"correlation":[21],"is":[22,26,56,66,75,94,98],"proposed.":[23],"The":[24,43,63,89],"constructed":[27],"by":[28],"shifts":[29],"additions":[31],"two":[33],"decimated":[34],"m-sequences":[35],"the":[37,47,77,85,92,101],"decimation":[38],"factors":[39],"2":[40],"2d,d=N-pn-1.":[42],"upper":[44,64],"bound":[45,65,80],"for":[46],"maximum":[48],"magnitude":[49],"nontrivial":[51],"correlations":[52],"this":[54],"derived":[57],"using":[58],"well":[59],"known":[60],"Kloosterman":[61],"sums.":[62],"shown":[67],"be":[69],"2\u221a(N+1/2)":[70],"=":[71],"\u221a(2pn)":[72],",":[73,96],"which":[74,97],"twice":[76],"Welch's":[78],"lower":[79,87],"approximately":[82],"1.5":[83],"times":[84,100],"Sidelnikov's":[86],"bound.":[88],"size":[90],"2(pn-1)":[95],"four":[99],"period":[102],"sequences.":[104]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}