{"id":"https://openalex.org/W2029808353","doi":"https://doi.org/10.1109/itw.2011.6089509","title":"MacWilliams-type identity in poset-block spaces","display_name":"MacWilliams-type identity in poset-block spaces","publication_year":2011,"publication_date":"2011-10-01","ids":{"openalex":"https://openalex.org/W2029808353","doi":"https://doi.org/10.1109/itw.2011.6089509","mag":"2029808353"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2011.6089509","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2011.6089509","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Information Theory Workshop","raw_type":"proceedings-article"},"type":"conference-paper","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/A5025059616","display_name":"Jerry Anderson Pinheiro","orcid":"https://orcid.org/0000-0002-6567-1548"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Jerry Anderson Pinheiro","raw_affiliation_strings":["Institute of Mathematics, Statistics and Scientific Computing, State University of Campinas, Campinas, Brazil","State University of Campinas, Institute of Mathematics, Statistics and, Scientific Computing, Campinas, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Statistics and Scientific Computing, State University of Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"State University of Campinas, Institute of Mathematics, Statistics and, Scientific Computing, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5062307376","display_name":"Marcelo Firer","orcid":"https://orcid.org/0000-0001-6887-7683"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":false,"raw_author_name":"Marcelo Firer","raw_affiliation_strings":["Institute of Mathematics, Statistics and Scientific Computing, State University of Campinas, Campinas, Brazil","State University of Campinas, Institute of Mathematics, Statistics and, Scientific Computing, Campinas, Brazil"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Statistics and Scientific Computing, State University of Campinas, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]},{"raw_affiliation_string":"State University of Campinas, Institute of Mathematics, Statistics and, Scientific Computing, Campinas, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":null,"apc_paid":null,"fwci":0.9626,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75490196,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":93,"max":95},"biblio":{"volume":"2","issue":null,"first_page":"490","last_page":"494"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11703","display_name":"Rings, Modules, and Algebras","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9993000030517578,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.9645398855209351},{"id":"https://openalex.org/keywords/identity","display_name":"Identity (music)","score":0.6942346096038818},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6122238636016846},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6063880324363708},{"id":"https://openalex.org/keywords/block","display_name":"Block (permutation group theory)","score":0.5907464623451233},{"id":"https://openalex.org/keywords/type","display_name":"Type (biology)","score":0.5562898516654968},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.5175958871841431},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4566582143306732},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10041272640228271}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.9645398855209351},{"id":"https://openalex.org/C2778355321","wikidata":"https://www.wikidata.org/wiki/Q17079427","display_name":"Identity (music)","level":2,"score":0.6942346096038818},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6122238636016846},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6063880324363708},{"id":"https://openalex.org/C2777210771","wikidata":"https://www.wikidata.org/wiki/Q4927124","display_name":"Block (permutation group theory)","level":2,"score":0.5907464623451233},{"id":"https://openalex.org/C2777299769","wikidata":"https://www.wikidata.org/wiki/Q3707858","display_name":"Type (biology)","level":2,"score":0.5562898516654968},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.5175958871841431},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4566582143306732},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10041272640228271},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/itw.2011.6089509","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2011.6089509","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 IEEE Information Theory Workshop","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.6399999856948853,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320320997","display_name":"Funda\u00e7\u00e3o de Amparo \u00e0 Pesquisa do Estado de S\u00e3o Paulo","ror":"https://ror.org/02ddkpn78"},{"id":"https://openalex.org/F4320321091","display_name":"Coordena\u00e7\u00e3o de Aperfei\u00e7oamento de Pessoal de N\u00edvel Superior","ror":"https://ror.org/00x0ma614"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1606480398","https://openalex.org/W1965656255","https://openalex.org/W1998399957","https://openalex.org/W2031242533","https://openalex.org/W2039787598","https://openalex.org/W2043474783","https://openalex.org/W2079400100","https://openalex.org/W2084835202","https://openalex.org/W2090792284","https://openalex.org/W2139696556","https://openalex.org/W2613956024","https://openalex.org/W6628614173"],"related_works":["https://openalex.org/W2106070061","https://openalex.org/W1963087247","https://openalex.org/W2347443236","https://openalex.org/W4205203210","https://openalex.org/W2146274131","https://openalex.org/W174023083","https://openalex.org/W2184328455","https://openalex.org/W2073211194","https://openalex.org/W2142149766","https://openalex.org/W4320933213"],"abstract_inverted_index":{"In":[0],"this":[1],"work":[2],"we":[3],"prove":[4],"that":[5],"a":[6,10],"poset-block":[7],"space":[8],"admits":[9],"MacWilliams-type":[11],"identity":[12],"if":[13,16],"and":[14,21],"only":[15],"the":[17,26,29,32],"poset":[18],"is":[19],"hierarchical":[20],"at":[22],"any":[23],"level":[24],"of":[25],"poset,":[27],"all":[28],"blocks":[30],"have":[31],"same":[33],"dimension.":[34]},"counts_by_year":[{"year":2021,"cited_by_count":2}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}