{"id":"https://openalex.org/W2143798392","doi":"https://doi.org/10.1109/tit.2010.2040893","title":"Autocorrelation of Legendre\u2013Sidelnikov Sequences","display_name":"Autocorrelation of Legendre\u2013Sidelnikov Sequences","publication_year":2010,"publication_date":"2010-03-24","ids":{"openalex":"https://openalex.org/W2143798392","doi":"https://doi.org/10.1109/tit.2010.2040893","mag":"2143798392"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2010.2040893","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2040893","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/A5011275105","display_name":"Ming Su","orcid":"https://orcid.org/0000-0003-0021-1046"},"institutions":[{"id":"https://openalex.org/I205237279","display_name":"Nankai University","ror":"https://ror.org/01y1kjr75","country_code":"CN","type":"education","lineage":["https://openalex.org/I205237279"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Ming Su","raw_affiliation_strings":["Department of Computer Science, Nankai University, Tianjin, China","Department of Computer science, Nankai University, Tianjin, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279"]},{"raw_affiliation_string":"Department of Computer science, Nankai University, Tianjin, China","institution_ids":["https://openalex.org/I205237279"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056642780","display_name":"Arne Winterhof","orcid":"https://orcid.org/0000-0002-3863-1110"},"institutions":[{"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":"Arne Winterhof","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics, Linz, Austria","Johann Radon Inst. for Comput. & Appl. Math., Linz, Austria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics, Linz, Austria","institution_ids":["https://openalex.org/I4210158379"]},{"raw_affiliation_string":"Johann Radon Inst. for Comput. & Appl. Math., Linz, Austria","institution_ids":["https://openalex.org/I4210158379"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.9208,"has_fulltext":false,"cited_by_count":23,"citation_normalized_percentile":{"value":0.93725769,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"56","issue":"4","first_page":"1714","last_page":"1718"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9993000030517578,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9972000122070312,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.47336265444755554},{"id":"https://openalex.org/keywords/prime","display_name":"Prime (order theory)","score":0.471457302570343},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3510631322860718},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3435361385345459},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.28126388788223267},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24518120288848877},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.09982168674468994}],"concepts":[{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.47336265444755554},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.471457302570343},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3510631322860718},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3435361385345459},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.28126388788223267},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24518120288848877},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.09982168674468994},{"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:10.1109/tit.2010.2040893","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2010.2040893","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":14,"referenced_works":["https://openalex.org/W145145483","https://openalex.org/W1489774662","https://openalex.org/W1592261758","https://openalex.org/W1979902210","https://openalex.org/W2016301514","https://openalex.org/W2051450362","https://openalex.org/W2112846031","https://openalex.org/W2163751669","https://openalex.org/W2180357386","https://openalex.org/W2485820268","https://openalex.org/W2613956024","https://openalex.org/W4233185505","https://openalex.org/W4239691897","https://openalex.org/W4298013611"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W4391913857"],"abstract_inverted_index":{"We":[0,23],"combine":[1],"the":[2,12,47],"concepts":[3],"of":[4,50],"thep-periodic":[5],"Legendre":[6],"sequence,":[7],"the(q-1)-periodic":[8],"Sidelnikov":[9],"sequence":[10,19,28],"and":[11,55],"two-prime":[13],"generator":[14],"to":[15,71],"introduce":[16],"a":[17],"newp(q-1)-periodic":[18],"called":[20],"Legendre-Sidelnikov":[21],"sequence.":[22],"show":[24],"that":[25,66],"this":[26],"new":[27],"is":[29,68],"balanced":[30],"ifp=q.":[31],"For":[32],"an":[33,37,40,57],"arbitrary":[34,38],"odd":[35,41],"primepand":[36],"powerqof":[39],"prime":[42],"withgcd":[43],"(p,q-1)=1":[44],"we":[45],"determine":[46],"exact":[48],"values":[49],"its":[51,61,72],"(periodic)":[52],"autocorrelation":[53,63],"function":[54,64],"deduce":[56],"upper":[58],"bound":[59],"on":[60],"aperiodic":[62],"showing":[65],"it":[67],"small":[69],"compared":[70],"period.":[73]},"counts_by_year":[{"year":2025,"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":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":2},{"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":"2026-07-29T09:40:50.615796","created_date":"2025-10-10T00:00:00"}
