{"id":"https://openalex.org/W1963781702","doi":"https://doi.org/10.1049/iet-ifs.2013.0090","title":"Constructions of resilient rotation symmetric Boolean functions on given number of variables","display_name":"Constructions of resilient rotation symmetric Boolean functions on given number of variables","publication_year":2014,"publication_date":"2014-07-25","ids":{"openalex":"https://openalex.org/W1963781702","doi":"https://doi.org/10.1049/iet-ifs.2013.0090","mag":"1963781702"},"language":"en","primary_location":{"id":"doi:10.1049/iet-ifs.2013.0090","doi":"https://doi.org/10.1049/iet-ifs.2013.0090","is_oa":false,"landing_page_url":"https://doi.org/10.1049/iet-ifs.2013.0090","pdf_url":null,"source":{"id":"https://openalex.org/S58852226","display_name":"IET Information Security","issn_l":"1751-8709","issn":["1751-8709","1751-8717"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["ccf-c","cwts-core","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311714","host_organization_name":"Institution of Engineering and Technology","host_organization_lineage":["https://openalex.org/P4310311714"],"host_organization_lineage_names":["Institution of Engineering and Technology"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IET Information Security","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"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/A5058107432","display_name":"Jiao Du","orcid":"https://orcid.org/0000-0002-4286-2608","observed_orcids":["https://orcid.org/0000-0002-4286-2608"]},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]},{"id":"https://openalex.org/I4210165883","display_name":"Xinxiang University","ror":"https://ror.org/05qvskn85","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210165883"]},{"id":"https://openalex.org/I4392021250","display_name":"State Key Laboratory of Networking and Switching Technology","ror":"https://ror.org/00qtv5q45","country_code":"CN","type":"facility","lineage":["https://openalex.org/I139759216","https://openalex.org/I4392021250"]},{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiao Du","raw_affiliation_strings":["College of Mathematics and Information Science Henan Normal University Xinxiang 453007 People's Republic of China","Department of Mathematics and Information Science Xinxiang University Xinxiang 453003 People's Republic of China","State Key Laboratory of Networking and Switching Technology Beijing University of Posts and Telecommunications Beijing 100876 People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science Henan Normal University Xinxiang 453007 People's Republic of China","institution_ids":["https://openalex.org/I75955062"]},{"raw_affiliation_string":"Department of Mathematics and Information Science Xinxiang University Xinxiang 453003 People's Republic of China","institution_ids":["https://openalex.org/I4210165883"]},{"raw_affiliation_string":"State Key Laboratory of Networking and Switching Technology Beijing University of Posts and Telecommunications Beijing 100876 People's Republic of China","institution_ids":["https://openalex.org/I139759216","https://openalex.org/I4392021250"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071607720","display_name":"Qiaoyan Wen","orcid":"https://orcid.org/0000-0001-7142-9726","observed_orcids":["https://orcid.org/0000-0001-7142-9726"]},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]},{"id":"https://openalex.org/I4392021250","display_name":"State Key Laboratory of Networking and Switching Technology","ror":"https://ror.org/00qtv5q45","country_code":"CN","type":"facility","lineage":["https://openalex.org/I139759216","https://openalex.org/I4392021250"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Qiaoyan Wen","raw_affiliation_strings":["State Key Laboratory of Networking and Switching Technology Beijing University of Posts and Telecommunications Beijing 100876 People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Networking and Switching Technology Beijing University of Posts and Telecommunications Beijing 100876 People's Republic of China","institution_ids":["https://openalex.org/I139759216","https://openalex.org/I4392021250"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100436639","display_name":"Jie Zhang","orcid":"https://orcid.org/0000-0001-7750-2197","observed_orcids":["https://orcid.org/0000-0001-7750-2197","https://orcid.org/0000-0001-9638-574X"]},"institutions":[{"id":"https://openalex.org/I139759216","display_name":"Beijing University of Posts and Telecommunications","ror":"https://ror.org/04w9fbh59","country_code":"CN","type":"education","lineage":["https://openalex.org/I139759216"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Zhang","raw_affiliation_strings":["School of Science Beijing University of Posts and Telecommunications Beijing 100876 People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science Beijing University of Posts and Telecommunications Beijing 100876 People's Republic of China","institution_ids":["https://openalex.org/I139759216"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046364434","display_name":"Shanqi Pang","orcid":"https://orcid.org/0000-0001-9000-802X","observed_orcids":["https://orcid.org/0000-0001-9000-802X"]},"institutions":[{"id":"https://openalex.org/I75955062","display_name":"Henan Normal University","ror":"https://ror.org/00s13br28","country_code":"CN","type":"education","lineage":["https://openalex.org/I75955062"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Shanqi Pang","raw_affiliation_strings":["College of Mathematics and Information Science Henan Normal University Xinxiang 453007 People's Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science Henan Normal University Xinxiang 453007 People's Republic of China","institution_ids":["https://openalex.org/I75955062"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2610,"currency":"USD","value_usd":2610},"apc_paid":null,"fwci":2.6561,"has_fulltext":false,"cited_by_count":28,"citation_normalized_percentile":{"value":0.9010392,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":98},"biblio":{"volume":"8","issue":"5","first_page":"265","last_page":"272"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.0,"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"}},{"id":"https://openalex.org/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.0,"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/rotation-symmetric-boolean-functions","display_name":"rotation symmetric Boolean functions","score":0.9990000128746033},{"id":"https://openalex.org/keywords/resilient-boolean-functions","display_name":"resilient Boolean functions","score":0.9330000281333923},{"id":"https://openalex.org/keywords/orthogonal-arrays","display_name":"orthogonal arrays","score":0.9829999804496765},{"id":"https://openalex.org/keywords/systems-of-equations","display_name":"systems of equations","score":0.628000020980835},{"id":"https://openalex.org/keywords/cyclotomic-cosets","display_name":"cyclotomic cosets","score":0.9779999852180481},{"id":"https://openalex.org/keywords/boolean-function-construction","display_name":"Boolean function construction","score":0.6330000162124634}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7615854144096375},{"id":"https://openalex.org/C54732982","wikidata":"https://www.wikidata.org/wiki/Q1415345","display_name":"Modulo","level":2,"score":0.6982004642486572},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6869540214538574},{"id":"https://openalex.org/C85307737","wikidata":"https://www.wikidata.org/wiki/Q751969","display_name":"Coset","level":2,"score":0.6102191805839539},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6044634580612183},{"id":"https://openalex.org/C3746008","wikidata":"https://www.wikidata.org/wiki/Q981351","display_name":"Symmetric function","level":2,"score":0.5072910189628601},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.5016241073608398},{"id":"https://openalex.org/C188183281","wikidata":"https://www.wikidata.org/wiki/Q2898309","display_name":"Parity function","level":4,"score":0.43870440125465393},{"id":"https://openalex.org/C2776372474","wikidata":"https://www.wikidata.org/wiki/Q508291","display_name":"Simplicity","level":2,"score":0.4220598042011261},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3898463845252991},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.15890038013458252},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0651402473449707},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1049/iet-ifs.2013.0090","doi":"https://doi.org/10.1049/iet-ifs.2013.0090","is_oa":false,"landing_page_url":"https://doi.org/10.1049/iet-ifs.2013.0090","pdf_url":null,"source":{"id":"https://openalex.org/S58852226","display_name":"IET Information Security","issn_l":"1751-8709","issn":["1751-8709","1751-8717"],"is_oa":false,"is_in_doaj":true,"is_core":true,"listed_in":["ccf-c","cwts-core","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4310311714","host_organization_name":"Institution of Engineering and Technology","host_organization_lineage":["https://openalex.org/P4310311714"],"host_organization_lineage_names":["Institution of Engineering and Technology"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IET Information Security","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[{"id":"https://openalex.org/G2001116396","display_name":"\u8bbe\u5907\u65e0\u5173\u91cf\u5b50\u5bc6\u94a5\u5206\u914d\u534f\u8bae\u7684\u5173\u952e\u95ee\u9898\u7814\u7a76","funder_award_id":"61100203","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2511172026","display_name":null,"funder_award_id":"61202434","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G2750390525","display_name":"\u57fa\u4e8e\u4f4d\u7f6e\u7684\u91cf\u5b50\u5bc6\u7801\u5b66\u7406\u8bba\u7814\u7a76","funder_award_id":"61272057","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3002412373","display_name":null,"funder_award_id":"61102093","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3430973547","display_name":null,"funder_award_id":"61 121061","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3659238530","display_name":"\u975e\u7406\u60f3\u4fe1\u9053\u4e0b\u7684\u91cf\u5b50\u57fa\u7840\u5b89\u5168\u534f\u8bae\u7814\u7a76","funder_award_id":"61003286","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4134859505","display_name":null,"funder_award_id":"BUPT2011YB01","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G5589471761","display_name":null,"funder_award_id":"2012RC0612","funder_id":"https://openalex.org/F4320335787","funder_display_name":"Fundamental Research Funds for the Central Universities"},{"id":"https://openalex.org/G6494198124","display_name":"\u91cf\u5b50\u5bc6\u7801\u57fa\u672c\u534f\u8bae\u7406\u8bba\u7814\u7a76","funder_award_id":"61170270","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7737154390","display_name":null,"funder_award_id":"11171093","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320335787","display_name":"Fundamental Research Funds for the Central Universities","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W131501431","https://openalex.org/W1512363553","https://openalex.org/W1554311607","https://openalex.org/W1564851598","https://openalex.org/W1606480398","https://openalex.org/W1934481693","https://openalex.org/W1996400076","https://openalex.org/W1996931565","https://openalex.org/W2007661134","https://openalex.org/W2026118194","https://openalex.org/W2032114495","https://openalex.org/W2038435237","https://openalex.org/W2059877682","https://openalex.org/W2062482187","https://openalex.org/W2069788171","https://openalex.org/W2071282074","https://openalex.org/W2074071514","https://openalex.org/W2093821665","https://openalex.org/W2096101536","https://openalex.org/W2099870437","https://openalex.org/W2121178597","https://openalex.org/W2129409147","https://openalex.org/W2150155022","https://openalex.org/W2154271831","https://openalex.org/W2161284257","https://openalex.org/W2163934701","https://openalex.org/W2170500309","https://openalex.org/W2283688205","https://openalex.org/W3098014432","https://openalex.org/W4231012974","https://openalex.org/W4243205024","https://openalex.org/W4292002940","https://openalex.org/W4298109338"],"related_works":["https://openalex.org/W4406753342","https://openalex.org/W2790774616","https://openalex.org/W2377798154","https://openalex.org/W2768244114","https://openalex.org/W4323643035","https://openalex.org/W1965797160","https://openalex.org/W7139136269","https://openalex.org/W7164877097","https://openalex.org/W4391664523","https://openalex.org/W7055481670"],"abstract_inverted_index":{"In":[0],"this":[1],"study,":[2],"the":[3,6,36,45,48,51,60,78,85,90,116,127],"properties":[4,49],"of":[5,9,47,54,62,68,80,87,89,118],"support":[7,52],"tables":[8,53],"rotation":[10],"symmetric":[11],"Boolean":[12],"functions":[13,40,81],"(RSBFs":[14],"for":[15,25,99],"simplicity)":[16],"are":[17,31,70,96,123],"studied,":[18],"and":[19,22,29,41,77],"two":[20],"sufficient":[21],"necessary":[23],"conditions":[24],"RSBFs":[26,64,122],"being":[27],"1\u2010":[28],"2\u2010resilient":[30,100],"obtained,":[32],"respectively.":[33],"Based":[34],"on":[35,65],"relations":[37],"between":[38],"resilient":[39],"orthogonal":[42],"arrays,":[43],"with":[44,137],"help":[46],"about":[50],"RSBFs,":[55],"it":[56],"is":[57,82,106],"shown":[58],"that":[59,115],"constructions":[61,117],"1\u2010resilient":[63,121],"given":[66,107],"number":[67,79,86],"variables":[69],"equivalent":[71,124],"to":[72,84,108,125,139],"solving":[73],"an":[74],"equation":[75,91],"system,":[76],"equal":[83],"solutions":[88],"system.":[92],"Moreover,":[93],"similar":[94],"results":[95,113],"also":[97],"obtained":[98],"RSBFs.":[101],"Lastly,":[102],"a":[103],"simple":[104],"example":[105],"demonstrate":[109],"our":[110],"method.":[111],"The":[112],"indicate":[114],"n":[119,134],"\u2010variable":[120],"studying":[126],"cyclotomic":[128],"cosets":[129],"C":[130],"s":[131],"modulo":[132],"2":[133],"\u2212":[135],"1":[136],"respect":[138],"2.":[140]},"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":2},{"year":2014,"cited_by_count":1}],"updated_date":"2026-10-30T12:39:25.321706","created_date":"2016-06-24T00:00:00"}