{"id":"https://openalex.org/W1481999254","doi":"https://doi.org/10.1007/978-3-540-40974-8_8","title":"On the Covering Radius of Second Order Binary Reed-Muller Code in the Set of Resilient Boolean Functions","display_name":"On the Covering Radius of Second Order Binary Reed-Muller Code in the Set of Resilient Boolean Functions","publication_year":2003,"publication_date":"2003-01-01","ids":{"openalex":"https://openalex.org/W1481999254","doi":"https://doi.org/10.1007/978-3-540-40974-8_8","mag":"1481999254"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-40974-8_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-40974-8_8","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":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://lirias.kuleuven.be/handle/123456789/70146","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5017465104","display_name":"Yuri Borissov","orcid":"https://orcid.org/0000-0002-7036-5529"},"institutions":[{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Yuri Borissov","raw_affiliation_strings":["Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 8 G.Bonchev, 1113, Sofia, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, 8 G.Bonchev, 1113, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011861898","display_name":"An Braeken","orcid":"https://orcid.org/0000-0002-9965-915X"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"An Braeken","raw_affiliation_strings":["Department Electrical Engineering \u2013 ESAT/SCD/COSIC, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department Electrical Engineering \u2013 ESAT/SCD/COSIC, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5067200620","display_name":"Svetla Nikova\u22c6","orcid":"https://orcid.org/0000-0003-3133-9261"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Svetla Nikova","raw_affiliation_strings":["Department Electrical Engineering \u2013 ESAT/SCD/COSIC, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department Electrical Engineering \u2013 ESAT/SCD/COSIC, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5039506639","display_name":"Bart Preneel","orcid":"https://orcid.org/0000-0003-2005-9651"},"institutions":[{"id":"https://openalex.org/I99464096","display_name":"KU Leuven","ror":"https://ror.org/05f950310","country_code":"BE","type":"education","lineage":["https://openalex.org/I99464096"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Bart Preneel","raw_affiliation_strings":["Department Electrical Engineering \u2013 ESAT/SCD/COSIC, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department Electrical Engineering \u2013 ESAT/SCD/COSIC, Katholieke Universiteit Leuven, Kasteelpark Arenberg 10, B-3001, Leuven, Belgium","institution_ids":["https://openalex.org/I99464096"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"82","last_page":"92"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9951000213623047,"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"}},{"id":"https://openalex.org/T10951","display_name":"Cryptographic Implementations and Security","score":0.9929999709129333,"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/radius","display_name":"RADIUS","score":0.7280120849609375},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6901735663414001},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.6716483235359192},{"id":"https://openalex.org/keywords/boolean-function","display_name":"Boolean function","score":0.6340017318725586},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5987257957458496},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.565245509147644},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.555353045463562},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.4892590045928955},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.48309993743896484},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4593314528465271},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43026798963546753},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4252413511276245},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.2529586851596832},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.2459854781627655},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2012336254119873},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.15114596486091614},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.06573548913002014},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.06284385919570923},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.04962155222892761}],"concepts":[{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.7280120849609375},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6901735663414001},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.6716483235359192},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.6340017318725586},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5987257957458496},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.565245509147644},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.555353045463562},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.4892590045928955},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.48309993743896484},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4593314528465271},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43026798963546753},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4252413511276245},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2529586851596832},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.2459854781627655},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2012336254119873},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.15114596486091614},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.06573548913002014},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.06284385919570923},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.04962155222892761},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/978-3-540-40974-8_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-40974-8_8","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:lirias2repo.kuleuven.be:123456789/70146","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/70146","pdf_url":null,"source":{"id":"https://openalex.org/S7407055369","display_name":"Lirias","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Cryptography and Coding, 9th IMA International Conference, ENGLAND, ROYAL AGR COLL, CIRENCESTER, 16-18 December 2003","raw_type":"info:eu-repo/semantics/conferenceObject"},{"id":"pmh:oai:vubissmart:VUBISSMART:2000:51250","is_oa":false,"landing_page_url":"https://biblio.vub.ac.be/vubir/on-the-covering-radius-of-second-order-binary-reedmuller-code-in-the-set-of-resilient-boolean-functions(732410b8-d33f-4ebe-858c-00224235c2d6).html","pdf_url":null,"source":{"id":"https://openalex.org/S4306402573","display_name":"VUBIR (Vrije Universiteit Brussel)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I13469542","host_organization_name":"Vrije Universiteit Brussel","host_organization_lineage":["https://openalex.org/I13469542"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:lirias2repo.kuleuven.be:123456789/70146","is_oa":true,"landing_page_url":"https://lirias.kuleuven.be/handle/123456789/70146","pdf_url":null,"source":{"id":"https://openalex.org/S7407055369","display_name":"Lirias","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"Cryptography and Coding, 9th IMA International Conference, ENGLAND, ROYAL AGR COLL, CIRENCESTER, 16-18 December 2003","raw_type":"info:eu-repo/semantics/conferenceObject"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W1699105","https://openalex.org/W1490691825","https://openalex.org/W1511374591","https://openalex.org/W1513214876","https://openalex.org/W1520563459","https://openalex.org/W1557382432","https://openalex.org/W1583871653","https://openalex.org/W1589266564","https://openalex.org/W1606480398","https://openalex.org/W1854146939","https://openalex.org/W1980279697","https://openalex.org/W1992772413","https://openalex.org/W2011798878","https://openalex.org/W2042588259","https://openalex.org/W2129632939","https://openalex.org/W2153589244","https://openalex.org/W2154271831","https://openalex.org/W2158402376","https://openalex.org/W2161517294","https://openalex.org/W2167026191","https://openalex.org/W2480001466","https://openalex.org/W2480510614","https://openalex.org/W2483988241","https://openalex.org/W2494402301","https://openalex.org/W2495889793","https://openalex.org/W2496360257","https://openalex.org/W2499543211","https://openalex.org/W2911452795","https://openalex.org/W4236509984"],"related_works":["https://openalex.org/W2255644882","https://openalex.org/W2613579564","https://openalex.org/W2023943271","https://openalex.org/W2106996640","https://openalex.org/W1607868314","https://openalex.org/W2111194052","https://openalex.org/W2170147734","https://openalex.org/W1536017524","https://openalex.org/W2155732318","https://openalex.org/W4380730280"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-15T18:14:33.161393","created_date":"2025-10-10T00:00:00"}
