{"id":"https://openalex.org/W2063053790","doi":"https://doi.org/10.1109/tit.2012.2201132","title":"A New Family of $p$-Ary Sequences With Low Correlation Constructed From Decimated Sequences","display_name":"A New Family of $p$-Ary Sequences With Low Correlation Constructed From Decimated Sequences","publication_year":2012,"publication_date":"2012-08-14","ids":{"openalex":"https://openalex.org/W2063053790","doi":"https://doi.org/10.1109/tit.2012.2201132","mag":"2063053790"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2012.2201132","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2201132","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/A5036084944","display_name":"Yongbo Xia","orcid":"https://orcid.org/0000-0002-3402-5375"},"institutions":[{"id":"https://openalex.org/I174442536","display_name":"South Central Minzu University","ror":"https://ror.org/03d7sax13","country_code":"CN","type":"education","lineage":["https://openalex.org/I174442536"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongbo Xia","raw_affiliation_strings":["Department of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, China","Department of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, China#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, China","institution_ids":["https://openalex.org/I174442536"]},{"raw_affiliation_string":"Department of Mathematics and Statistics, South-Central University for Nationalities, Wuhan, China#TAB#","institution_ids":["https://openalex.org/I174442536"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081876745","display_name":"Shaoping Chen","orcid":"https://orcid.org/0000-0003-0027-1276"},"institutions":[{"id":"https://openalex.org/I174442536","display_name":"South Central Minzu University","ror":"https://ror.org/03d7sax13","country_code":"CN","type":"education","lineage":["https://openalex.org/I174442536"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shaoping Chen","raw_affiliation_strings":["Hubei Key Laboratory of Intelligent Wireless Communication, South-Central University for Nationalities, Wuhan, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Hubei Key Laboratory of Intelligent Wireless Communication, South-Central University for Nationalities, Wuhan, China","institution_ids":["https://openalex.org/I174442536"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I174442536"],"apc_list":null,"apc_paid":null,"fwci":3.0446,"has_fulltext":false,"cited_by_count":12,"citation_normalized_percentile":{"value":0.91693518,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"58","issue":"9","first_page":"6037","last_page":"6046"},"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":0.9977999925613403,"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":0.9950000047683716,"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/notation","display_name":"Notation","score":0.766322672367096},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.4670521020889282},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.457848459482193},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42013996839523315},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3523791432380676},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32270023226737976},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.13238310813903809}],"concepts":[{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.766322672367096},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.4670521020889282},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.457848459482193},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42013996839523315},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3523791432380676},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32270023226737976},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.13238310813903809}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2012.2201132","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2201132","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":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W71341483","https://openalex.org/W1556443961","https://openalex.org/W1978743030","https://openalex.org/W2003165227","https://openalex.org/W2009235680","https://openalex.org/W2011059145","https://openalex.org/W2024483577","https://openalex.org/W2035289644","https://openalex.org/W2048462185","https://openalex.org/W2083108312","https://openalex.org/W2083722181","https://openalex.org/W2089277105","https://openalex.org/W2098933212","https://openalex.org/W2106235749","https://openalex.org/W2108998869","https://openalex.org/W2122939787","https://openalex.org/W2126731485","https://openalex.org/W2130499429","https://openalex.org/W2140420535","https://openalex.org/W2143019587","https://openalex.org/W2147468739","https://openalex.org/W2154006376","https://openalex.org/W2157198168","https://openalex.org/W2165458930","https://openalex.org/W2166052125","https://openalex.org/W2168997931","https://openalex.org/W2169822785","https://openalex.org/W2216707378","https://openalex.org/W2330548796","https://openalex.org/W4243205024"],"related_works":["https://openalex.org/W1978042415","https://openalex.org/W3086542228","https://openalex.org/W2184427155","https://openalex.org/W2017331178","https://openalex.org/W2976797620","https://openalex.org/W2185671459","https://openalex.org/W2404664685","https://openalex.org/W4303684388","https://openalex.org/W2010720345","https://openalex.org/W2008228064"],"abstract_inverted_index":{"In":[0],"this":[1,94],"paper,":[2],"for":[3],"an":[4,13],"odd":[5],"prime":[6],"<formula":[7,15,28,38,65,71,83,113],"formulatype=\"inline\"":[8,16,29,39,66,72,84,114],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[9,17,30,40,67,73,85,115],"xmlns:xlink=\"http://www.w3.org/1999/xlink\"><tex":[10,31,41,68,74,86,116],"Notation=\"TeX\">$p$</tex></formula>":[11,69],"and":[12,57,78,141],"integer":[14],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[18],"<tex":[19],"Notation=\"TeX\">$n":[20],"\\geq":[21],"3$</tex></formula>":[22],",":[23,119],"a":[24,64,143],"new":[25,51,95,140],"family":[26,52,80,96,105,138,145],"of":[27,36,59,63,93,126,151],"Notation=\"TeX\">$p$</tex>":[32],"</formula>":[33,76],"-ary":[34,70],"sequences":[35,62],"period":[37],"Notation=\"TeX\">${{p^{n}-1}":[42],"\\over":[43],"{2}}$</tex></formula>":[44],"with":[45,108,131],"low":[46],"correlation":[47,91],"is":[48,53,82,97,100,106,139,148],"constructed.":[49],"The":[50,89],"constructed":[54],"by":[55],"shifts":[56],"additions":[58],"two":[60],"decimated":[61],"Notation=\"TeX\">$m$</tex>":[75],"-sequence,":[77],"its":[79,152],"size":[81],"Notation=\"TeX\">$2(p^{n}-1)$</tex></formula>":[87],".":[88],"complete":[90],"distribution":[92],"derived.":[98],"It":[99],"also":[101],"shown":[102],"that":[103],"the":[104,111,122,132],"optimal":[107],"respect":[109],"to":[110],"parameter":[112],"Notation=\"TeX\">$\\theta_{{\\rm":[117],"rms}}$</tex></formula>":[118],"which":[120,147],"denotes":[121],"root":[123],"mean":[124],"square":[125],"all":[127],"nontrivial":[128],"correlations.":[129],"Compared":[130],"known":[133],"sequence":[134,137],"families,":[135],"our":[136],"has":[142],"larger":[144],"size,":[146],"four":[149],"times":[150],"period.":[153]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
