{"id":"https://openalex.org/W1977674584","doi":"https://doi.org/10.1145/2739480.2754764","title":"Correlation Immunity of Boolean Functions","display_name":"Correlation Immunity of Boolean Functions","publication_year":2015,"publication_date":"2015-07-07","ids":{"openalex":"https://openalex.org/W1977674584","doi":"https://doi.org/10.1145/2739480.2754764","mag":"1977674584"},"language":"en","primary_location":{"id":"doi:10.1145/2739480.2754764","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2739480.2754764","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2015 Annual Conference on Genetic and Evolutionary Computation","raw_type":"proceedings-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"http://hdl.handle.net/2066/143724","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5024072796","display_name":"Stjepan Picek","orcid":"https://orcid.org/0000-0001-7509-4337"},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":true,"raw_author_name":"Stjepan Picek","raw_affiliation_strings":["Faculty of Electrical Engineering and Computing, University of Zagreb, Zagreb, Croatia"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering and Computing, University of Zagreb, Zagreb, Croatia","institution_ids":["https://openalex.org/I181343428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5088687711","display_name":"Claude Carlet","orcid":"https://orcid.org/0000-0002-6118-7927"},"institutions":[{"id":"https://openalex.org/I102197404","display_name":"Universit\u00e9 Paris-Sud","ror":"https://ror.org/028rypz17","country_code":"FR","type":"education","lineage":["https://openalex.org/I102197404"]},{"id":"https://openalex.org/I4210091279","display_name":"Universit\u00e9 Sorbonne Paris Nord","ror":"https://ror.org/0199hds37","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210091279"]},{"id":"https://openalex.org/I48825208","display_name":"Universit\u00e9 Paris 8","ror":"https://ror.org/04wez5e68","country_code":"FR","type":"education","lineage":["https://openalex.org/I48825208"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Claude Carlet","raw_affiliation_strings":["University of Paris XIII and University of Paris VIII, Paris, France"],"affiliations":[{"raw_affiliation_string":"University of Paris XIII and University of Paris VIII, Paris, France","institution_ids":["https://openalex.org/I48825208","https://openalex.org/I102197404","https://openalex.org/I4210091279"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029689278","display_name":"Domagoj Jakobovi\u0107","orcid":"https://orcid.org/0000-0002-9201-2994"},"institutions":[{"id":"https://openalex.org/I181343428","display_name":"University of Zagreb","ror":"https://ror.org/00mv6sv71","country_code":"HR","type":"education","lineage":["https://openalex.org/I181343428"]}],"countries":["HR"],"is_corresponding":false,"raw_author_name":"Domagoj Jakobovic","raw_affiliation_strings":["Faculty of Electrical Engineering and Computing, University of Zagreb, Zagreb, Croatia"],"affiliations":[{"raw_affiliation_string":"Faculty of Electrical Engineering and Computing, University of Zagreb, Zagreb, Croatia","institution_ids":["https://openalex.org/I181343428"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5077881387","display_name":"Julian F. Miller","orcid":"https://orcid.org/0000-0002-7692-9655"},"institutions":[{"id":"https://openalex.org/I52099693","display_name":"University of York","ror":"https://ror.org/04m01e293","country_code":"GB","type":"education","lineage":["https://openalex.org/I52099693"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Julian F. Miller","raw_affiliation_strings":["University of York, York, United Kingdom"],"affiliations":[{"raw_affiliation_string":"University of York, York, United Kingdom","institution_ids":["https://openalex.org/I52099693"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051408740","display_name":"Lejla Batina","orcid":"https://orcid.org/0000-0003-0727-3573"},"institutions":[{"id":"https://openalex.org/I145872427","display_name":"Radboud University Nijmegen","ror":"https://ror.org/016xsfp80","country_code":"NL","type":"education","lineage":["https://openalex.org/I145872427"]}],"countries":["NL"],"is_corresponding":false,"raw_author_name":"Lejla Batina","raw_affiliation_strings":["Radboud University, Nijmegen, Netherlands"],"affiliations":[{"raw_affiliation_string":"Radboud University, Nijmegen, Netherlands","institution_ids":["https://openalex.org/I145872427"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5024072796"],"corresponding_institution_ids":["https://openalex.org/I181343428"],"apc_list":null,"apc_paid":null,"fwci":3.5611,"has_fulltext":true,"cited_by_count":18,"citation_normalized_percentile":{"value":0.93513249,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1095","last_page":"1102"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998000264167786,"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":0.9998000264167786,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.988099992275238,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9879000186920166,"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":0.832284688949585},{"id":"https://openalex.org/keywords/correlation-attack","display_name":"Correlation attack","score":0.7183036804199219},{"id":"https://openalex.org/keywords/stream-cipher","display_name":"Stream cipher","score":0.6458852291107178},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.6253536343574524},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.5816574692726135},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.49405887722969055},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.48042750358581543},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.47471582889556885},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.4473961591720581},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.4417647421360016},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4229426383972168},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32947009801864624},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.3129323720932007},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.09669721126556396}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.832284688949585},{"id":"https://openalex.org/C120226833","wikidata":"https://www.wikidata.org/wiki/Q5172844","display_name":"Correlation attack","level":4,"score":0.7183036804199219},{"id":"https://openalex.org/C92950451","wikidata":"https://www.wikidata.org/wiki/Q864718","display_name":"Stream cipher","level":3,"score":0.6458852291107178},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.6253536343574524},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.5816574692726135},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.49405887722969055},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.48042750358581543},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47471582889556885},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.4473961591720581},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4417647421360016},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4229426383972168},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32947009801864624},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.3129323720932007},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.09669721126556396},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/2739480.2754764","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2739480.2754764","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 2015 Annual Conference on Genetic and Evolutionary Computation","raw_type":"proceedings-article"},{"id":"pmh:oai:repository.ubn.ru.nl:2066/143724","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/143724","pdf_url":"http://hdl.handle.net/2066/143724","source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null}],"best_oa_location":{"id":"pmh:oai:repository.ubn.ru.nl:2066/143724","is_oa":true,"landing_page_url":"http://hdl.handle.net/2066/143724","pdf_url":"http://hdl.handle.net/2066/143724","source":{"id":"https://openalex.org/S4306401067","display_name":"Radboud Repository (Radboud University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I145872427","host_organization_name":"Radboud University Nijmegen","host_organization_lineage":["https://openalex.org/I145872427"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":null},"sustainable_development_goals":[{"display_name":"Partnerships for the goals","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/17"}],"awards":[{"id":"https://openalex.org/G8532229842","display_name":null,"funder_award_id":"ProFIL 628.001.007","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"},{"id":"https://openalex.org/F4320334893","display_name":"Stichting voor de Technische Wetenschappen","ror":"https://ror.org/057tq3593"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W1977674584.pdf","grobid_xml":"https://content.openalex.org/works/W1977674584.grobid-xml"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1699105","https://openalex.org/W58215584","https://openalex.org/W119362848","https://openalex.org/W140633939","https://openalex.org/W166093442","https://openalex.org/W193810222","https://openalex.org/W200116028","https://openalex.org/W1010887924","https://openalex.org/W1480457443","https://openalex.org/W1488367145","https://openalex.org/W1501962430","https://openalex.org/W1512383952","https://openalex.org/W1534088294","https://openalex.org/W1557382432","https://openalex.org/W1589266564","https://openalex.org/W1757627485","https://openalex.org/W1892798954","https://openalex.org/W1972718799","https://openalex.org/W2002308230","https://openalex.org/W2011798878","https://openalex.org/W2040339844","https://openalex.org/W2116183729","https://openalex.org/W2154271831","https://openalex.org/W2157891080","https://openalex.org/W2402036804","https://openalex.org/W2504274129","https://openalex.org/W2504502935","https://openalex.org/W2952087868","https://openalex.org/W4298876800","https://openalex.org/W4300349690","https://openalex.org/W6639476995","https://openalex.org/W6683344045"],"related_works":["https://openalex.org/W88466764","https://openalex.org/W4389258758","https://openalex.org/W4245501402","https://openalex.org/W2533921573","https://openalex.org/W2545039056","https://openalex.org/W3174959224","https://openalex.org/W2149094354","https://openalex.org/W1979198062","https://openalex.org/W3044322697","https://openalex.org/W2613508444"],"abstract_inverted_index":{"Boolean":[0,56,94,124],"functions":[1,30,125],"are":[2],"essential":[3],"in":[4,10],"many":[5],"stream":[6],"ciphers.":[7],"When":[8],"used":[9],"combiner":[11],"generators,":[12],"they":[13],"need":[14],"to":[15],"have":[16,46],"sufficiently":[17],"high":[18],"values":[19],"of":[20,38,50,77,99],"correlation":[21,28,63,92,102,122],"immunity,":[22,64,103],"alongside":[23],"other":[24,107],"properties.":[25],"In":[26],"addition,":[27],"immune":[29,93,123],"with":[31],"small":[32],"Hamming":[33],"weight":[34],"reduce":[35],"the":[36,48,69,75,97,113],"cost":[37],"masking":[39],"countermeasures":[40],"against":[41],"side-channel":[42],"attacks.":[43],"Various":[44],"papers":[45],"examined":[47],"applicability":[49],"evolutionary":[51],"algorithms":[52],"for":[53,90],"evolving":[54,91,121],"cryptographic":[55,109],"functions.":[57,95],"However,":[58],"even":[59,128],"when":[60],"authors":[61],"considered":[62],"it":[65],"was":[66],"not":[67],"given":[68],"highest":[70],"priority.":[71],"Here,":[72],"we":[73,104],"examine":[74],"effectiveness":[76],"three":[78],"different":[79],"EAs,":[80],"namely,":[81],"Genetic":[82,84],"Algorithms,":[83],"Programming":[85],"(GP)":[86],"and":[87,101],"Cartesian":[88],"GP":[89],"Besides":[96],"properties":[98,110],"balancedness":[100],"consider":[105],"several":[106],"relevant":[108],"while":[111],"maintaining":[112],"optimal":[114],"trade-offs":[115],"among":[116],"them.":[117],"We":[118],"show":[119],"that":[120],"is":[126],"an":[127],"harder":[129],"objective":[130],"than":[131],"maximizing":[132],"nonlinearity.":[133]},"counts_by_year":[{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":2}],"updated_date":"2026-04-14T08:04:32.555800","created_date":"2016-06-24T00:00:00"}
