{"id":"https://openalex.org/W2179859445","doi":"https://doi.org/10.1109/isit.2004.1365535","title":"Cubic boolean functions with highest resiliency","display_name":"Cubic boolean functions with highest resiliency","publication_year":2004,"publication_date":"2004-12-23","ids":{"openalex":"https://openalex.org/W2179859445","doi":"https://doi.org/10.1109/isit.2004.1365535","mag":"2179859445"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2004.1365535","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365535","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-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/A5088687711","display_name":"Claude Carlet","orcid":"https://orcid.org/0000-0002-6118-7927"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"C. Carlet","raw_affiliation_strings":["INRIA Rocquencourt, Le Chesnay, France"],"affiliations":[{"raw_affiliation_string":"INRIA Rocquencourt, Le Chesnay, France","institution_ids":["https://openalex.org/I1326498283"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048217797","display_name":"Pascale Charpin","orcid":null},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"P. Charpin","raw_affiliation_strings":["INRIA Rocquencourt, Le Chesnay, France"],"affiliations":[{"raw_affiliation_string":"INRIA Rocquencourt, Le Chesnay, France","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5088687711"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":1.3491,"has_fulltext":false,"cited_by_count":4,"citation_normalized_percentile":{"value":0.85619025,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"498","last_page":"498"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T11567","display_name":"semigroups and automata theory","score":0.9961000084877014,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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":0.992900013923645,"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":0.8535747528076172},{"id":"https://openalex.org/keywords/variable","display_name":"Variable (mathematics)","score":0.5435483455657959},{"id":"https://openalex.org/keywords/boolean-expression","display_name":"Boolean expression","score":0.44797438383102417},{"id":"https://openalex.org/keywords/boolean-network","display_name":"Boolean network","score":0.4477769732475281},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44728678464889526},{"id":"https://openalex.org/keywords/walsh-function","display_name":"Walsh function","score":0.44221609830856323},{"id":"https://openalex.org/keywords/parity-function","display_name":"Parity function","score":0.4392063021659851},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3792771100997925},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3461388945579529},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.26733869314193726},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08662104606628418}],"concepts":[{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.8535747528076172},{"id":"https://openalex.org/C182365436","wikidata":"https://www.wikidata.org/wiki/Q50701","display_name":"Variable (mathematics)","level":2,"score":0.5435483455657959},{"id":"https://openalex.org/C158465420","wikidata":"https://www.wikidata.org/wiki/Q1979515","display_name":"Boolean expression","level":3,"score":0.44797438383102417},{"id":"https://openalex.org/C134444547","wikidata":"https://www.wikidata.org/wiki/Q585230","display_name":"Boolean network","level":3,"score":0.4477769732475281},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44728678464889526},{"id":"https://openalex.org/C164319782","wikidata":"https://www.wikidata.org/wiki/Q1934233","display_name":"Walsh function","level":2,"score":0.44221609830856323},{"id":"https://openalex.org/C188183281","wikidata":"https://www.wikidata.org/wiki/Q2898309","display_name":"Parity function","level":4,"score":0.4392063021659851},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3792771100997925},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3461388945579529},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.26733869314193726},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08662104606628418}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2004.1365535","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365535","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1483127851","https://openalex.org/W1512363553","https://openalex.org/W1582363331","https://openalex.org/W1583499453","https://openalex.org/W1589266564","https://openalex.org/W2011798878","https://openalex.org/W2037339745","https://openalex.org/W2038242066","https://openalex.org/W2042993834","https://openalex.org/W2096255437","https://openalex.org/W2112294703","https://openalex.org/W2154271831","https://openalex.org/W2614080401","https://openalex.org/W4285719527","https://openalex.org/W6630621434"],"related_works":["https://openalex.org/W2106622045","https://openalex.org/W4252281389","https://openalex.org/W4294811728","https://openalex.org/W1991822629","https://openalex.org/W2011175857","https://openalex.org/W2105128170","https://openalex.org/W2061512596","https://openalex.org/W3141532631","https://openalex.org/W2131164334","https://openalex.org/W2558644562"],"abstract_inverted_index":{"We":[0],"classify":[1],"those":[2],"cubic":[3],"m-variable":[4],"Boolean":[5],"functions":[6],"which":[7],"are":[8,17],"(m":[9],"$4)-resilient.":[10],"Our":[11],"main":[12],"result":[13],"is":[14],"that":[15],"there":[16],"four":[18],"types":[19],"of":[20,27,30],"such":[21],"functions,":[22],"depending":[23],"on":[24],"the":[25,28],"structure":[26],"support":[29],"their":[31],"Walsh":[32],"spectra.":[33]},"counts_by_year":[{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
