{"id":"https://openalex.org/W1965797160","doi":"https://doi.org/10.1587/transfun.e96.a.1653","title":"Construction and Counting of 1-Resilient Rotation Symmetric Boolean Functions on pq Variables","display_name":"Construction and Counting of 1-Resilient Rotation Symmetric Boolean Functions on pq Variables","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W1965797160","doi":"https://doi.org/10.1587/transfun.e96.a.1653","mag":"1965797160"},"language":"en","primary_location":{"id":"doi:10.1587/transfun.e96.a.1653","doi":"https://doi.org/10.1587/transfun.e96.a.1653","is_oa":false,"landing_page_url":"https://doi.org/10.1587/transfun.e96.a.1653","pdf_url":null,"source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","raw_type":"journal-article"},"volume":null,"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/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"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jiao DU","raw_affiliation_strings":["Department of Mathematics and Information Science, Xinxiang University","State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Information Science, Xinxiang University","institution_ids":["https://openalex.org/I4210165883"]},{"raw_affiliation_string":"State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications","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"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications","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"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Science, Beijing University of Posts and Telecommunications","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"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"College of Mathematics and Information Science, Henan Normal University","institution_ids":["https://openalex.org/I75955062"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3687,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.69264876,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"E96.A","issue":"7","first_page":"1653","last_page":"1656"},"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":0.9959999918937683},{"id":"https://openalex.org/keywords/correlation-immunity","display_name":"correlation immunity","score":0.7960000038146973},{"id":"https://openalex.org/keywords/characteristic-matrix","display_name":"characteristic matrix","score":0.8820000290870667}],"concepts":[{"id":"https://openalex.org/C2776372474","wikidata":"https://www.wikidata.org/wiki/Q508291","display_name":"Simplicity","level":2,"score":0.6367367506027222},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6238176226615906},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.6126304268836975},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.570366621017456},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.5578805804252625},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5289050936698914},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38989949226379395},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3387497067451477},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3208398222923279},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1533871293067932},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.124612957239151},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1587/transfun.e96.a.1653","doi":"https://doi.org/10.1587/transfun.e96.a.1653","is_oa":false,"landing_page_url":"https://doi.org/10.1587/transfun.e96.a.1653","pdf_url":null,"source":{"id":"https://openalex.org/S166990724","display_name":"IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences","issn_l":"0916-8508","issn":["0916-8508","1745-1337"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["anvur-scientific","cwts-core","dongbi-c","jufo-1","norway-1","poland-20","russia-white-list-4"],"host_organization":"https://openalex.org/P4320800604","host_organization_name":"Institute of Electronics, Information and Communication Engineers","host_organization_lineage":["https://openalex.org/P4320800604"],"host_organization_lineage_names":["Institute of Electronics, Information and Communication Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W131501431","https://openalex.org/W1548438362","https://openalex.org/W1934481693","https://openalex.org/W2062482187","https://openalex.org/W2074071514","https://openalex.org/W2129409147","https://openalex.org/W2150155022","https://openalex.org/W2163934701","https://openalex.org/W2170858758","https://openalex.org/W2407118547"],"related_works":["https://openalex.org/W4406753342","https://openalex.org/W4415247251","https://openalex.org/W2768244114","https://openalex.org/W6990176552","https://openalex.org/W2790774616","https://openalex.org/W1963781702","https://openalex.org/W2377798154","https://openalex.org/W2594851307","https://openalex.org/W4323643035","https://openalex.org/W2583861264"],"abstract_inverted_index":{"In":[0],"this":[1,60],"letter,":[2],"a":[3,19],"property":[4,35],"of":[5,9,42,69,90],"the":[6,10,84,88],"characteristic":[7],"matrix":[8],"Rotation":[11],"Symmetric":[12],"Boolean":[13],"Functions":[14],"(RSBFs)":[15],"is":[16,32,36,97],"characterized,":[17],"and":[18,21,53,67,82],"sufficient":[20],"necessary":[22],"condition":[23],"for":[24,30,46],"RSBFs":[25,41,71,93],"being":[26],"1st":[27],"correlation-immune":[28],"(1-CI":[29],"simplicity)":[31,47],"obtained.":[33],"This":[34],"applied":[37],"to":[38,77],"construct":[39],"resilient":[40],"order":[43],"1":[44],"(1-resilient":[45],"on":[48,72,94],"pq":[49,73,95],"variables,":[50],"where":[51],"p":[52],"q":[54],"are":[55,75],"both":[56],"prime":[57],"consistently":[58],"in":[59],"letter.":[61],"The":[62],"results":[63],"show":[64],"that":[65],"construction":[66],"counting":[68,83,89],"1-resilient":[70,92],"variables":[74,96],"equivalent":[76],"solving":[78],"an":[79],"equation":[80],"system":[81],"solutions.":[85],"At":[86],"last,":[87],"all":[91],"also":[98],"proposed.":[99]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":3},{"year":2014,"cited_by_count":1}],"updated_date":"2026-10-27T15:51:10.671819","created_date":"2016-06-24T00:00:00"}
