{"id":"https://openalex.org/W2051491799","doi":"https://doi.org/10.1007/s10623-011-9553-6","title":"Affine equivalence for rotation symmetric Boolean functions with 2 k variables","display_name":"Affine equivalence for rotation symmetric Boolean functions with 2 k variables","publication_year":2011,"publication_date":"2011-08-20","ids":{"openalex":"https://openalex.org/W2051491799","doi":"https://doi.org/10.1007/s10623-011-9553-6","mag":"2051491799"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-011-9553-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-011-9553-6","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":"https://openalex.org/A5010080149","display_name":"Thomas W. Cusick","orcid":"https://orcid.org/0000-0002-0087-8855"},"institutions":[{"id":"https://openalex.org/I63190737","display_name":"University at Buffalo, State University of New York","ror":"https://ror.org/01y64my43","country_code":"US","type":"education","lineage":["https://openalex.org/I63190737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Thomas W. Cusick","raw_affiliation_strings":["Department of Mathematics, University at Buffalo, 244 Mathematics Building, Buffalo, NY, 14260, USA","Department of Mathematics, University at Buffalo, Buffalo, USA 14260#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University at Buffalo, 244 Mathematics Building, Buffalo, NY, 14260, USA","institution_ids":["https://openalex.org/I63190737"]},{"raw_affiliation_string":"Department of Mathematics, University at Buffalo, Buffalo, USA 14260#TAB#","institution_ids":["https://openalex.org/I63190737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5037913850","display_name":"Younhwan Cheon","orcid":"https://orcid.org/0000-0002-0549-6194"},"institutions":[{"id":"https://openalex.org/I2799667316","display_name":"Republic of Korea Army","ror":"https://ror.org/0331rkj73","country_code":"KR","type":"government","lineage":["https://openalex.org/I2799667316"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Younhwan Cheon","raw_affiliation_strings":["Department of Mathematics, Korea Army Academy at Yeong-Cheon, 135-9 ChangHa GoGyeong, YeongCheon City, GyeongBuk, 770-849, Korea","Department of Mathematics, Korea Army Academy at Yeong-Cheon, YeongCheon City, Korea 770-849#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Korea Army Academy at Yeong-Cheon, 135-9 ChangHa GoGyeong, YeongCheon City, GyeongBuk, 770-849, Korea","institution_ids":["https://openalex.org/I2799667316"]},{"raw_affiliation_string":"Department of Mathematics, Korea Army Academy at Yeong-Cheon, YeongCheon City, Korea 770-849#TAB#","institution_ids":["https://openalex.org/I2799667316"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010080149"],"corresponding_institution_ids":["https://openalex.org/I63190737"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.638,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.90617963,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"63","issue":"2","first_page":"273","last_page":"294"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9538000226020813,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9538000226020813,"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/T12029","display_name":"DNA and Biological Computing","score":0.9466999769210815,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9316999912261963,"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/affine-transformation","display_name":"Affine transformation","score":0.8169827461242676},{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.7815662622451782},{"id":"https://openalex.org/keywords/symmetric-function","display_name":"Symmetric function","score":0.7008798122406006},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6919134855270386},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6892335414886475},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6142995357513428},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.5691885948181152},{"id":"https://openalex.org/keywords/rotation","display_name":"Rotation (mathematics)","score":0.4773966372013092},{"id":"https://openalex.org/keywords/quadratic-function","display_name":"Quadratic function","score":0.4272167980670929},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4215018153190613},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4206393361091614},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.4112752676010132},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35349488258361816}],"concepts":[{"id":"https://openalex.org/C92757383","wikidata":"https://www.wikidata.org/wiki/Q382497","display_name":"Affine transformation","level":2,"score":0.8169827461242676},{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.7815662622451782},{"id":"https://openalex.org/C3746008","wikidata":"https://www.wikidata.org/wiki/Q981351","display_name":"Symmetric function","level":2,"score":0.7008798122406006},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6919134855270386},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6892335414886475},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6142995357513428},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.5691885948181152},{"id":"https://openalex.org/C74050887","wikidata":"https://www.wikidata.org/wiki/Q848368","display_name":"Rotation (mathematics)","level":2,"score":0.4773966372013092},{"id":"https://openalex.org/C166437778","wikidata":"https://www.wikidata.org/wiki/Q50695","display_name":"Quadratic function","level":3,"score":0.4272167980670929},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4215018153190613},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4206393361091614},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.4112752676010132},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35349488258361816},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s10623-011-9553-6","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-011-9553-6","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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1880399293","https://openalex.org/W1990334133","https://openalex.org/W2062482187","https://openalex.org/W2118439495","https://openalex.org/W2170858758","https://openalex.org/W3031060042","https://openalex.org/W4298109338"],"related_works":["https://openalex.org/W2075328823","https://openalex.org/W3129818589","https://openalex.org/W2384505037","https://openalex.org/W2174416018","https://openalex.org/W2092886012","https://openalex.org/W2145874891","https://openalex.org/W2754515445","https://openalex.org/W3161355837","https://openalex.org/W2170281757","https://openalex.org/W3060999092"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":4},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}