{“id”:“https://openalex.org/W1634830450“,”doi“:”https://doi.org/10.3233/fi-2011-570“,”title“:”布尔Bent函数的二阶\u2013非线性的下界“,”display_name“:”Boolean Bent函数二阶\u 2013非线性的下限“,”publication_year“:2011,”publitation_date“:”2011-01-01“,”ids“:{”openalex“:”https://openalex.org/W1634830450“,”doi“:”https://doi.org/10.3233/fi-2011-570“,”mag“:”1634830450“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.3233/fi-2011-570“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S39012697“,”“display_name”“:”“Fundamental informaticae”“,”https://openalex.org/P4310318577“,”“host_organization_name”:“IOS新闻”,“host_organization_lineage”:[“https://openalex.org/P4310318577“],”host_organization_lineage_names“:[”IOS Press“],“type”:“journal”},“license”:null,“licence_id”:null,“version”:null,“is_accepted”:false,“is_published”:false},”type“:”article“,”type_crossref“:“jornal-article”,“indexed_in”:[”crossref“],‘open_access”:{“is_oa”:false,“oa_status”:“closed”,“oa_url”:nul,“any_repository”_has_fulltext“:false},”authorships“:[{”author_position“:”first“,”author“:{”id“:”https://openalex.org/A5060984628“,”display_name“:”Manish Garg“,”orcid“:”https://orcid.org/0000-0003-2066-5221},“机构”:[{“id”:https://openalex.org/I154851008“,”display_name“:”印度理工学院Roorkee“,”ror“:”https://ror.org/00582g326“,”country_code“:”IN“,”type“:“教育”,”世系“:[”https://openalex.org/I154851008“]}],“countries”:[“IN”],“is_corresponding”:false,“raw_author_name”:“Manish Garg”,“raw_affiation_strings”:[“印度北阿坎德邦洛克247667号洛克印度理工学院数学系。manishitr8@gmail.com#TAB#“]},{“author_position”:“last”,“author”:{“id”:“https://openalex.org/A5013399016“,”display_name“:”Sugata Gangopadhyay“,”orcid“:”https://orcid.org/0000-0002-7329-7349},“机构”:[{“id”:https://openalex.org/I154851008“,”display_name“:”印度理工学院Roorkee“,”ror“:”https://ror.org/00582g326“,”country_code“:”IN“,”type“:“教育”,”世系“:[”https://openalex.org/I154851008“]}],”countries“:[”IN“],”is_corresponding“:false,”raw_author_name“:”Sugata Gangopadhyay“,”raw _affiliation_strings“:【”(更正)印度理工学院数学系Roorkee,Roorke-247667,Uttarakhand,INDIA。gsugata@gmail.com#TAB#“]}],“countries_destict_count”:1,“institutions_disict_count”:1,“corresponding_author_ids”:[],“corresponding_institution_ids”:[],“apc_list”:null,“apc_payed”:null,“has_fulltext”:true,“fulltext_origin”:“ngrams”,“cited_by_count”:11,“cited_by_percentle_year”:{“min”:87,“max”:88},“biblio”:{“volume”:“111”,“issue”:“4”,“first_page”:“413”,“last_page“:”422“},”is_retracted“:false,”is_paratext“:fase,”primary_topic“:{”id“:”https://openalex.org/T11130“,”display_name“:”加密和纠错代码“,”score“:1.0,”subfield“:{”id“:”https://openalex.org/subfields/1702“,”display_name“:”人工智能“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T11130“,”display_name“:”加密和纠错代码“,”score“:1.0,”subfield“:{”id“:”https://openalex.org/subfields/1702“,”display_name“:”人工智能“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T11797“,”display_name“:”光码分多址“,”score“:0.9997,”subfield“:{”id“:”https://openalex.org/subfields/2208“,”display_name“:”电气与电子工程“},”字段“:{”id“:”https://openalex.org/fields/22“,”display_name“:”Engineering“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T11693“,”“display_name”:“椭圆曲线密码在安全中的应用”,“score”:0.9988,“subfield”:{“id”:“https://openalex.org/subfields/1710“,”display_name“:”Information Systems“},”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/boolean-functions网站“,”display_name“:”布尔函数“,”score“:0.561347},{”id“:”https://openalex.org/keywords/bent-functions网站“,”display_name“:”Bent Functions“,”score“:0.551494}],”concepts“:[{”id“:”https://openalex.org/C138211643,“wikidata”:https://www.wikidata.org/wiki/Q675211“,”display_name“:”弯曲分子几何“,”level“:2,”score“:0.8094239},{”id“:”https://openalex.org/C187455244,“wikidata”:https://www.wikidata.org/wiki/Q942353“,”display_name“:”布尔函数“,”level“:2,”score“:0.7527009},{”id“:”https://openalex.org/C182306322,“wikidata”:https://www.wikidata.org/wiki/Q1779371“,”display_name“:”Order(exchange)“,”level“:2,”score“:0.6376971},{”id“:”https://openalex.org/C77553402,“wikidata”:https://www.wikidata.org/wiki/Q13222579“,”display_name“:”上下限“,”level“:2,”score“:0.5535779},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.5193304},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.4114815},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.35415578},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.24652928},{”id“:”https://openalex.org/C66938386,“wikidata”:https://www.wikidata.org/wiki/Q633538“,”display_name“:”结构工程“,”level“:1,”score“:0.096368015},{”id“:”https://openalex.org/C127413603,“wikidata”:https://www.wikidata.org/wiki/Q11023“,”display_name“:”Engineering“,”level“:0,”score“:0.09618673},{”id“:”https://openalex.org/C10138342,“wikidata”:https://www.wikidata.org/wiki/Q43015“,”display_name“:”Finance“,”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}],”mesh“:[],”locations_count“:1,”location“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.3233/fi-2011-570“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S39012697“,”“display_name”“:”“Fundamental informaticae”“,”https://openalex.org/P4310318577“,”“host_organization_name”:“IOS新闻”,“host_organization_lineage”:[“https://openalex.org/P4310318577“],”host_organization_lineage_names“:[”IOS Press“],“type”:“journal”},“license”:null,“licence_id”:null,“version”:nul,“is_accepted”:false,“is_published”:false}],“best_oa_location”:null,“sustainable_development_goals”:[],“grants”:[],“datasets”:【】,“versions”:【],“referenced_works_count”:19,“refenced_works”https://openalex.org/W1568448119","https://openalex.org/W1569612250","https://openalex.org/W1606480398","https://openalex.org/W1986486920","https://openalex.org/W2010368681","https://openalex.org/W2029867410","https://openalex.org/W2057524374","https://openalex.org/W2074247189","https://openalex.org/W2078699313","https://openalex.org/W2090432705","https://openalex.org/W2096124275","https://openalex.org/W2100677873","https://openalex.org/W2111194052","https://openalex.org/W2129120739","https://openalex.org/W2136555483","https://openalex.org/W2161635222","https://openalex.org/W2397727392","https://openalex.org/W2403097992","https://openalex.org/W2408488681“],”related_works“:[”https://openalex.org/W3212703233","https://openalex.org/W3028718793","https://openalex.org/W2808103058","https://openalex.org/W2750816313","https://openalex.org/W2614614073","https://openalex.org/W2503515100","https://openalex.org/W2395115528","https://openalex.org/W1996794584","https://openalex.org/W1977927882","https://openalex.org/W1575067221“],”ngrams_url“:”https://api.openalex.org/works/W1634830450/ngrams网站“,”abstract_inverted_index“:{”In“:[0],”this“:[1],”paper“:[2],”we“:[3],”find“:[4],”a“:[5],”lower“:[6],”bound“:%7],”of“:[8,12,16],”the“:[9,17],”secondary“:[10],”nonlinearities“:[11],”Boolean“:[13],”bent“:[14],“functions”:[15],“form”:[18],”${\\rm“:[19],”f}({\\rm”:[20],“x})“:[21],”=“:[22],”{\\rms“:[23],”Tr}_{1}^{\\orm“:[24],”n}}(\\rmalpha_{1{{\\rm“:[25],”x}^{\\rm”:[26,30],“d}_{1}}”:[27],“+”:[28],“\\rmalpha_{2}{\\rms”:[29],“d_{2}})$,”:[31],“where”:[32],“dd1”:[33],“and”:[34],“d”:[35],“are”:36],“Niho”:[3],“引文ed_by_api_url“:”https://api.openalex.org/works?filter=cites:W1634830450“,”counts_by_year“:[{”year“:2023,”cited_by_count“:3},{”year“:2022,”cited_by_count”:1},}”year:2016,”citecd_by_count“:1}.,{“year”:2015,”citesd_by_count“:3}”,{年“:2014,”citted_by-count“:1},日期“:”2024-05-12T01:13:32.303621“,”创建日期“:“2016-06-24”}