{"id":"https://openalex.org/W4240023909","doi":"https://doi.org/10.46298/dmtcs.380","title":"Coding partitions","display_name":"Coding partitions","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W4240023909","doi":"https://doi.org/10.46298/dmtcs.380"},"language":"en","primary_location":{"id":"doi:10.46298/dmtcs.380","doi":"https://doi.org/10.46298/dmtcs.380","is_oa":true,"landing_page_url":"https://doi.org/10.46298/dmtcs.380","pdf_url":"https://dmtcs.episciences.org/380/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","ddh","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics & Theoretical Computer Science","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://dmtcs.episciences.org/380/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061378490","display_name":"Fabio Burderi","orcid":"https://orcid.org/0000-0002-1380-867X","observed_orcids":["https://orcid.org/0000-0002-1380-867X"]},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fabio Burderi","raw_affiliation_strings":["Dipartimento di Matematica e Applicazioni [Palermo]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Applicazioni [Palermo]","institution_ids":["https://openalex.org/I900890020"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024448520","display_name":"Antonio Restivo","orcid":"https://orcid.org/0000-0002-1972-6931","observed_orcids":["https://orcid.org/0000-0002-1972-6931"]},"institutions":[{"id":"https://openalex.org/I900890020","display_name":"University of Palermo","ror":"https://ror.org/044k9ta02","country_code":"IT","type":"education","lineage":["https://openalex.org/I900890020"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Antonio Restivo","raw_affiliation_strings":["Dipartimento di Matematica e Applicazioni [Palermo]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Applicazioni [Palermo]","institution_ids":["https://openalex.org/I900890020"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I900890020"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.38034054,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":93},"biblio":{"volume":"Vol. 9 no. 2","issue":"2","first_page":"227","last_page":"239"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11567","display_name":"semigroups and automata theory","score":0.9994999766349792,"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/T11269","display_name":"Algorithms and Data Compression","score":0.00019999999494757503,"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/T11130","display_name":"Coding theory and cryptography","score":0.0,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/codes","display_name":"codes","score":0.4099999964237213},{"id":"https://openalex.org/keywords/canonical-decomposition","display_name":"canonical decomposition","score":0.9359999895095825},{"id":"https://openalex.org/keywords/rational-sets","display_name":"rational sets","score":0.781000018119812},{"id":"https://openalex.org/keywords/decidability","display_name":"decidability","score":0.8259999752044678}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7864425182342529},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6471497416496277},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.5456907153129578},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.41770845651626587},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.4110277593135834},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39247259497642517},{"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/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.46298/dmtcs.380","doi":"https://doi.org/10.46298/dmtcs.380","is_oa":true,"landing_page_url":"https://doi.org/10.46298/dmtcs.380","pdf_url":"https://dmtcs.episciences.org/380/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","ddh","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics & Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-00966522v1","doi":null,"is_oa":true,"landing_page_url":"https://inria.hal.science/hal-00966522","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4405252976","host_organization_name":"Centre pour la Communication Scientifique Directe","host_organization_lineage":["https://openalex.org/I4405252976"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics and Theoretical Computer Science, 2007, Vol. 9 no. 2 (2), pp.227--239. ⟨10.46298/dmtcs.380⟩","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:doaj.org/article:08421185794644d287a4c7e3add00e1a","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/08421185794644d287a4c7e3add00e1a","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics & Theoretical Computer Science, Vol 9, Iss 2 (2007)","raw_type":"article"},{"id":"pmh:oai:doaj.org/article:8c47081e303f4008a45a68c452e58603","doi":null,"is_oa":false,"landing_page_url":"https://doaj.org/article/8c47081e303f4008a45a68c452e58603","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete Mathematics & Theoretical Computer Science, Vol Vol. 9 no. 2 (2007)","raw_type":"article"},{"id":"pmh:oai:iris.unipa.it:10447/31532","doi":null,"is_oa":true,"landing_page_url":"http://hdl.handle.net/10447/31532","pdf_url":null,"source":{"id":"https://openalex.org/S4306401065","display_name":"Nova Science Publishers (Nova Science Publishers, Inc.)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"doi:10.46298/dmtcs.380","doi":"https://doi.org/10.46298/dmtcs.380","is_oa":true,"landing_page_url":"https://doi.org/10.46298/dmtcs.380","pdf_url":"https://dmtcs.episciences.org/380/pdf","source":{"id":"https://openalex.org/S200334879","display_name":"Discrete Mathematics & Theoretical Computer Science","issn_l":"1365-8050","issn":["1365-8050","1462-7264"],"is_oa":true,"is_in_doaj":true,"is_core":true,"listed_in":["anvur-scientific","cwts-core","ddh","doaj","dongbi-c","jufo-1","norway-1","oarl","poland-70","russia-white-list-2"],"host_organization":"https://openalex.org/P4328141799","host_organization_name":"French association","host_organization_lineage":["https://openalex.org/P4328141799"],"host_organization_lineage_names":["French association"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics & Theoretical Computer Science","raw_type":"journal-article"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4240023909.pdf","grobid_xml":"https://content.openalex.org/works/W4240023909.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W1482809074","https://openalex.org/W1560909590","https://openalex.org/W2014984958","https://openalex.org/W2049048592","https://openalex.org/W2110462090","https://openalex.org/W2129384797","https://openalex.org/W2167954650"],"related_works":["https://openalex.org/W7099042233","https://openalex.org/W1934339903","https://openalex.org/W7096453663","https://openalex.org/W2045720037","https://openalex.org/W2027374080","https://openalex.org/W7198596254","https://openalex.org/W1997747484","https://openalex.org/W2213478162","https://openalex.org/W1764356098","https://openalex.org/W1646332491"],"abstract_inverted_index":{"Motivated":[0],"by":[1],"the":[2,16,39,43,46,49,55,59,63,71,81,101,103,142,144,155,158,177],"study":[3],"of":[4,18,26,45,48,66,75,84,126,164,195],"decipherability":[5],"conditions":[6],"for":[7,30,111],"codes":[8,31],"weaker":[9],"than":[10],"Unique":[11],"Decipherability":[12],"(UD),":[13],"we":[14,61,107,174,185],"introduce":[15,80],"notion":[17,23],"coding":[19,73,133,191],"partition.":[20,50,115,134],"Such":[21],"a":[22,67,85,123,127,132,147,161,170,182],"generalizes":[24],"that":[25,32,157,176],"UD":[27],"code":[28,68,86,104,129,145],"and,":[29],"are":[33],"not":[34],"UD,":[35],"allows":[36,119],"to":[37,79,120],"recover":[38],"''unique":[40],"decipherability\"":[41],"at":[42,88],"level":[44],"classes":[47,165],"By":[51],"tacking":[52],"into":[53],"account":[54],"natural":[56],"order":[57],"between":[58,190],"partitions,":[60],"define":[62],"characteristic":[64],"partition":[65,74,125,159,179],"X":[69,130],"as":[70],"finest":[72],"X.":[76],"This":[77,135],"leads":[78],"canonical":[82,114,178],"decomposition":[83],"in":[87,117,141],"most":[89],"one":[90],"unambiguous":[91],"component":[92],"and":[93,166,193],"other":[94],"(if":[95],"any)":[96],"totally":[97],"ambiguous":[98],"components.":[99],"In":[100],"case":[102,143],"is":[105,131,138,146,169],"finite,":[106],"give":[108],"an":[109],"algorithm":[110],"computing":[112],"its":[113,152],"This,":[116],"particular,":[118],"decide":[121],"whether":[122],"given":[124],"finite":[128,162],"last":[136],"problem":[137],"then":[139],"approached":[140],"rational":[148,171],"set.":[149,172],"We":[150],"prove":[151],"decidability":[153],"under":[154],"hypothesis":[156],"contains":[160],"number":[163],"each":[167],"class":[168],"Moreover":[173],"conjecture":[175],"satisfies":[180],"such":[181],"hypothesis.":[183],"Finally":[184],"consider":[186],"also":[187],"some":[188],"relationships":[189],"partitions":[192],"varieties":[194],"codes.":[196]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2026-10-25T09:29:13.331239","created_date":"2022-05-12T00:00:00"}