{"id":"https://openalex.org/W1719819796","doi":"https://doi.org/10.1007/978-3-642-24209-0_21","title":"On Equivalence Classes of Boolean Functions","display_name":"On Equivalence Classes of Boolean Functions","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W1719819796","doi":"https://doi.org/10.1007/978-3-642-24209-0_21","mag":"1719819796"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-24209-0_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-24209-0_21","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5023596353","display_name":"Qichun Wang","orcid":"https://orcid.org/0000-0003-3474-4115"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]},{"id":"https://openalex.org/I24943067","display_name":"Fudan University","ror":"https://ror.org/013q1eq08","country_code":"CN","type":"education","lineage":["https://openalex.org/I24943067"]},{"id":"https://openalex.org/I4210158519","display_name":"Informa (Sweden)","ror":"https://ror.org/04yt64d76","country_code":"SE","type":"company","lineage":["https://openalex.org/I4210154378","https://openalex.org/I4210158519"]}],"countries":["CN","SE"],"is_corresponding":false,"raw_author_name":"Qichun Wang","raw_affiliation_strings":["Dept. of Electrical and Information Technology, Lund University, P.O. Box 118, 221 00, Lund, Sweden","The Shanghai Key Lab of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai, 200433, P.R. China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Information Technology, Lund University, P.O. Box 118, 221 00, Lund, Sweden","institution_ids":["https://openalex.org/I187531555","https://openalex.org/I4210158519"]},{"raw_affiliation_string":"The Shanghai Key Lab of Intelligent Information Processing, School of Computer Science, Fudan University, Shanghai, 200433, P.R. China","institution_ids":["https://openalex.org/I24943067"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5019956193","display_name":"Thomas Johansson","orcid":"https://orcid.org/0000-0003-1798-570X"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]},{"id":"https://openalex.org/I4210158519","display_name":"Informa (Sweden)","ror":"https://ror.org/04yt64d76","country_code":"SE","type":"company","lineage":["https://openalex.org/I4210154378","https://openalex.org/I4210158519"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Thomas Johansson","raw_affiliation_strings":["Dept. of Electrical and Information Technology, Lund University, P.O. Box 118, 221 00, Lund, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Electrical and Information Technology, Lund University, P.O. Box 118, 221 00, Lund, Sweden","institution_ids":["https://openalex.org/I187531555","https://openalex.org/I4210158519"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.3727,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.65207891,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"311","last_page":"324"},"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9991000294685364,"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":0.9944999814033508,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.8195006847381592},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6907554864883423},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.5457625985145569},{"id":"https://openalex.org/keywords/equivalence-class","display_name":"Equivalence class (music)","score":0.5135186314582825},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.4864358901977539},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.47029492259025574},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4633750021457672},{"id":"https://openalex.org/keywords/parity-function","display_name":"Parity function","score":0.4596509635448456},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4541657567024231},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.42971283197402954},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38770461082458496},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17040562629699707}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.8195006847381592},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6907554864883423},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.5457625985145569},{"id":"https://openalex.org/C2777044963","wikidata":"https://www.wikidata.org/wiki/Q5384707","display_name":"Equivalence class (music)","level":2,"score":0.5135186314582825},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4864358901977539},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.47029492259025574},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4633750021457672},{"id":"https://openalex.org/C188183281","wikidata":"https://www.wikidata.org/wiki/Q2898309","display_name":"Parity function","level":4,"score":0.4596509635448456},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4541657567024231},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.42971283197402954},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38770461082458496},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17040562629699707},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-24209-0_21","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-24209-0_21","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:lup.lub.lu.se:836e6eaa-f351-489c-85cf-3877162572eb","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/1789355","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 0302-9743","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":47,"referenced_works":["https://openalex.org/W1699105","https://openalex.org/W19215019","https://openalex.org/W58215584","https://openalex.org/W88466764","https://openalex.org/W1481609888","https://openalex.org/W1485229544","https://openalex.org/W1509518159","https://openalex.org/W1512914916","https://openalex.org/W1542020576","https://openalex.org/W1549565053","https://openalex.org/W1554307264","https://openalex.org/W1555755354","https://openalex.org/W1572961947","https://openalex.org/W1573915663","https://openalex.org/W1604159040","https://openalex.org/W1803062158","https://openalex.org/W1821279578","https://openalex.org/W1980721209","https://openalex.org/W2020117524","https://openalex.org/W2026257203","https://openalex.org/W2069465266","https://openalex.org/W2090432705","https://openalex.org/W2095563835","https://openalex.org/W2111194052","https://openalex.org/W2123064683","https://openalex.org/W2124509406","https://openalex.org/W2128293480","https://openalex.org/W2129120739","https://openalex.org/W2147765341","https://openalex.org/W2163934701","https://openalex.org/W2228844744","https://openalex.org/W2395112489","https://openalex.org/W2398297263","https://openalex.org/W2478032277","https://openalex.org/W2480001466","https://openalex.org/W2480510614","https://openalex.org/W2484934657","https://openalex.org/W2485957127","https://openalex.org/W2491900224","https://openalex.org/W2493993829","https://openalex.org/W2495889793","https://openalex.org/W2499339068","https://openalex.org/W2915620663","https://openalex.org/W3030697291","https://openalex.org/W3097986274","https://openalex.org/W4236509984","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2106622045","https://openalex.org/W2379318067","https://openalex.org/W1991921929","https://openalex.org/W4252281389","https://openalex.org/W4312990447","https://openalex.org/W353786736","https://openalex.org/W2055594799","https://openalex.org/W2157812200","https://openalex.org/W2465207115","https://openalex.org/W3029349442"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}