{"id":"https://openalex.org/W4388569738","doi":"https://doi.org/10.1007/s12095-023-00682-y","title":"Frameproof codes, separable codes and $$B_2$$ codes: Bounds and constructions","display_name":"Frameproof codes, separable codes and $$B_2$$ codes: Bounds and constructions","publication_year":2023,"publication_date":"2023-11-10","ids":{"openalex":"https://openalex.org/W4388569738","doi":"https://doi.org/10.1007/s12095-023-00682-y"},"language":"en","primary_location":{"id":"doi:10.1007/s12095-023-00682-y","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s12095-023-00682-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12095-023-00682-y.pdf","source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s12095-023-00682-y.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5100370706","display_name":"Marcel Fern\u00e1ndez","orcid":"https://orcid.org/0000-0001-7655-135X"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Marcel Fernandez","raw_affiliation_strings":["Department of Network Engineering, Universitat Polit\u00e8cnica de Catalunya, Jordi Girona, 31, Barcelona, 08034, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Network Engineering, Universitat Polit\u00e8cnica de Catalunya, Jordi Girona, 31, Barcelona, 08034, Spain","institution_ids":["https://openalex.org/I9617848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086020243","display_name":"John Livieratos","orcid":"https://orcid.org/0000-0001-6409-4286"},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"John Livieratos","raw_affiliation_strings":["Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, 84, Athens, Greece"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, National and Kapodistrian University of Athens, Panepistimioupolis, 84, Athens, Greece","institution_ids":["https://openalex.org/I200777214"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033663432","display_name":"Sebasti\u00e0 Mart\u0131\u0301n","orcid":"https://orcid.org/0000-0002-9799-6793"},"institutions":[{"id":"https://openalex.org/I9617848","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31","country_code":"ES","type":"education","lineage":["https://openalex.org/I9617848"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Sebasti\u00e0 Mart\u00edn","raw_affiliation_strings":["Department of Mathematics, Universitat Polit\u00e8cnica de Catalunya, Jordi Girona, 31, Barcelona, 08034, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Universitat Polit\u00e8cnica de Catalunya, Jordi Girona, 31, Barcelona, 08034, Spain","institution_ids":["https://openalex.org/I9617848"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5033663432"],"corresponding_institution_ids":["https://openalex.org/I9617848"],"apc_list":{"value":3190,"currency":"USD","value_usd":3190},"apc_paid":{"value":3190,"currency":"USD","value_usd":3190},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12911982,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"16","issue":"3","first_page":"481","last_page":"506"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9973999857902527,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9965000152587891,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.74387127161026},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6673685312271118},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.428158700466156},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.418264776468277},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.38591378927230835},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3809337019920349},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3286333680152893}],"concepts":[{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.74387127161026},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6673685312271118},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.428158700466156},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.418264776468277},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.38591378927230835},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3809337019920349},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3286333680152893},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s12095-023-00682-y","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s12095-023-00682-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12095-023-00682-y.pdf","source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","raw_type":"journal-article"},{"id":"pmh:oai:upcommons.upc.edu:2117/396663","is_oa":true,"landing_page_url":"https://hdl.handle.net/2117/396663","pdf_url":"https://upcommons.upc.edu/bitstreams/ffa4b130-517f-4b2e-90d1-d0e4e4bf4a34/download","source":{"id":"https://openalex.org/S4377196262","display_name":"UPCommons institutional repository (Universitat Polit\u00e8cnica de Catalunya)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I9617848","host_organization_name":"Universitat Polit\u00e8cnica de Catalunya","host_organization_lineage":["https://openalex.org/I9617848"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"doi:10.1007/s12095-023-00682-y","is_oa":true,"landing_page_url":"http://dx.doi.org/10.1007/s12095-023-00682-y","pdf_url":"https://link.springer.com/content/pdf/10.1007/s12095-023-00682-y.pdf","source":{"id":"https://openalex.org/S129219326","display_name":"Cryptography and Communications","issn_l":"1936-2447","issn":["1936-2447","1936-2455"],"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":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Cryptography and Communications","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/4","score":0.5099999904632568,"display_name":"Quality Education"}],"awards":[{"id":"https://openalex.org/G558011220","display_name":null,"funder_award_id":"PID2019-110224RB-I00","funder_id":"https://openalex.org/F4320326262","funder_display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a"},{"id":"https://openalex.org/G8474413869","display_name":null,"funder_award_id":"PID2019-109379RB-I00","funder_id":"https://openalex.org/F4320315062","funder_display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades"}],"funders":[{"id":"https://openalex.org/F4320315062","display_name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","ror":null},{"id":"https://openalex.org/F4320326262","display_name":"Ministerio de Asuntos Econ\u00f3micos y Transformaci\u00f3n Digital, Gobierno de Espa\u00f1a","ror":"https://ror.org/03sv46s19"},{"id":"https://openalex.org/F4320328447","display_name":"Universitat Polit\u00e8cnica de Catalunya","ror":"https://ror.org/03mb6wj31"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4388569738.pdf","grobid_xml":"https://content.openalex.org/works/W4388569738.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W1965994418","https://openalex.org/W1970105392","https://openalex.org/W1971815967","https://openalex.org/W1992185324","https://openalex.org/W1996118782","https://openalex.org/W2019883273","https://openalex.org/W2083992035","https://openalex.org/W2090259575","https://openalex.org/W2109693504","https://openalex.org/W2113866205","https://openalex.org/W2131762402","https://openalex.org/W2134195444","https://openalex.org/W2156775423","https://openalex.org/W2159193690","https://openalex.org/W2293452572","https://openalex.org/W2514722104","https://openalex.org/W2963896203","https://openalex.org/W2980209216","https://openalex.org/W3098916585","https://openalex.org/W4210634265","https://openalex.org/W4298072523"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W3006682748","https://openalex.org/W1097487277","https://openalex.org/W2051487156","https://openalex.org/W2949964783","https://openalex.org/W2768610039","https://openalex.org/W2735923117","https://openalex.org/W2159703794","https://openalex.org/W2089427484","https://openalex.org/W2115913661"],"abstract_inverted_index":{"Abstract":[0],"In":[1],"this":[2],"paper,":[3],"constructions":[4,51],"of":[5,20,52],"frameproof":[6],"codes,":[7,9,21,55],"separable":[8],"and":[10],"$$B_2$$":[11],"B":[12],"2":[13],"codes":[14],"are":[15],"obtained.":[16],"For":[17],"each":[18],"family":[19],"the":[22,32,43,53,58,62],"Lov\u00e1sz":[23,63],"Local":[24,64],"Lemmais":[25],"used":[26],"to":[27,49],"establish":[28],"lower":[29],"bounds":[30,36,41],"for":[31,61],"codes.":[33],"The":[34],"obtained":[35],"match":[37],"all":[38],"best":[39],"known":[40],"in":[42],"literature.":[44],"Our":[45],"strategy":[46],"allows":[47],"us":[48],"present":[50],"aforementioned":[54],"by":[56],"using":[57],"variable":[59],"framework":[60],"Lemma.":[65]},"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2023-11-11T00:00:00"}
