{"id":"https://openalex.org/W2019640796","doi":"https://doi.org/10.1007/s10623-006-0023-5","title":"On the k-error linear complexity over $$\\mathbb{F}_p$$ of Legendre and Sidelnikov sequences","display_name":"On the k-error linear complexity over $$\\mathbb{F}_p$$ of Legendre and Sidelnikov sequences","publication_year":2006,"publication_date":"2006-08-17","ids":{"openalex":"https://openalex.org/W2019640796","doi":"https://doi.org/10.1007/s10623-006-0023-5","mag":"2019640796"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-006-0023-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-006-0023-5","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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":null,"display_name":"Hassan Aly","orcid":null},"institutions":[{"id":"https://openalex.org/I145487455","display_name":"Cairo University","ror":"https://ror.org/03q21mh05","country_code":"EG","type":"education","lineage":["https://openalex.org/I145487455"]}],"countries":["EG"],"is_corresponding":true,"raw_author_name":"Hassan Aly","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt","Department of Mathematics, Faculty of Science , Cairo University , Giza , Egypt"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt","institution_ids":["https://openalex.org/I145487455"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science , Cairo University , Giza , Egypt","institution_ids":["https://openalex.org/I145487455"]}]},{"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/I138211613","display_name":"Austrian Academy of Sciences","ror":"https://ror.org/03anc3s24","country_code":"AT","type":"government","lineage":["https://openalex.org/I138211613"]},{"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":true,"raw_author_name":"Arne Winterhof","raw_affiliation_strings":["Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergerstr. 69, 4040, Linz, Austria","Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria","Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria 4040#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenbergerstr. 69, 4040, Linz, Austria","institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]},{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria","institution_ids":["https://openalex.org/I138211613","https://openalex.org/I4210158379"]},{"raw_affiliation_string":"Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Linz, Austria 4040#TAB#","institution_ids":["https://openalex.org/I138211613"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5056642780"],"corresponding_institution_ids":["https://openalex.org/I138211613","https://openalex.org/I145487455","https://openalex.org/I4210158379"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":4.4837,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.94188716,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"40","issue":"3","first_page":"369","last_page":"374"},"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":0.9983999729156494,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9972000122070312,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.681751012802124},{"id":"https://openalex.org/keywords/legendre-polynomials","display_name":"Legendre polynomials","score":0.6761562824249268},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.472981333732605},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.45936766266822815},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.4433113932609558},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.43206480145454407},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41847410798072815},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.17753705382347107},{"id":"https://openalex.org/keywords/chemistry","display_name":"Chemistry","score":0.07184329628944397},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.06980577111244202}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.681751012802124},{"id":"https://openalex.org/C111458787","wikidata":"https://www.wikidata.org/wiki/Q215405","display_name":"Legendre polynomials","level":2,"score":0.6761562824249268},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.472981333732605},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.45936766266822815},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.4433113932609558},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.43206480145454407},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41847410798072815},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.17753705382347107},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.07184329628944397},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.06980577111244202},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-006-0023-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-006-0023-5","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321004","display_name":"\u00d6sterreichischen Akademie der Wissenschaften","ror":"https://ror.org/03anc3s24"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W8529777","https://openalex.org/W49964822","https://openalex.org/W107200252","https://openalex.org/W200083124","https://openalex.org/W574604760","https://openalex.org/W1515061872","https://openalex.org/W1530912015","https://openalex.org/W1551926475","https://openalex.org/W1559375430","https://openalex.org/W1594652978","https://openalex.org/W1660562555","https://openalex.org/W1977021660","https://openalex.org/W2031207368","https://openalex.org/W2037656036","https://openalex.org/W2048539947","https://openalex.org/W2096522361","https://openalex.org/W2120922445","https://openalex.org/W2162442687","https://openalex.org/W2164379767","https://openalex.org/W2584663318"],"related_works":["https://openalex.org/W2736737644","https://openalex.org/W3106446297","https://openalex.org/W2385225694","https://openalex.org/W2374325362","https://openalex.org/W2074688623","https://openalex.org/W1913294887","https://openalex.org/W2214763494","https://openalex.org/W2079298033","https://openalex.org/W2354480093","https://openalex.org/W2354670860"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}