{"id":"https://openalex.org/W2052863749","doi":"https://doi.org/10.1109/tit.2011.2170111","title":"MDS Poset-Codes Satisfying the Asymptotic Gilbert\u2013Varshamov Bound in Hamming Weights","display_name":"MDS Poset-Codes Satisfying the Asymptotic Gilbert\u2013Varshamov Bound in Hamming Weights","publication_year":2011,"publication_date":"2011-12-01","ids":{"openalex":"https://openalex.org/W2052863749","doi":"https://doi.org/10.1109/tit.2011.2170111","mag":"2052863749"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2011.2170111","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2170111","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-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/A5017426408","display_name":"Jong Yoon Hyun","orcid":"https://orcid.org/0000-0003-2917-5704"},"institutions":[{"id":"https://openalex.org/I4210095123","display_name":"The Seoul Institute","ror":"https://ror.org/00pnt8b91","country_code":"KR","type":"government","lineage":["https://openalex.org/I2801402630","https://openalex.org/I4210095123"]},{"id":"https://openalex.org/I4210158432","display_name":"National Institute for Mathematical Sciences","ror":"https://ror.org/04n7py080","country_code":"KR","type":"education","lineage":["https://openalex.org/I4210158432"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Jong Yoon Hyun","raw_affiliation_strings":["Institute of Mathematical Sciences, Seoul, South Korea","Inst. of Math. Sci., Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Mathematical Sciences, Seoul, South Korea","institution_ids":["https://openalex.org/I4210158432"]},{"raw_affiliation_string":"Inst. of Math. Sci., Seoul, South Korea","institution_ids":["https://openalex.org/I4210095123"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100644394","display_name":"Yoonjin Lee","orcid":"https://orcid.org/0000-0001-9510-3691"},"institutions":[{"id":"https://openalex.org/I138925566","display_name":"Ewha Womans University","ror":"https://ror.org/053fp5c05","country_code":"KR","type":"education","lineage":["https://openalex.org/I138925566"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Yoonjin Lee","raw_affiliation_strings":["Department of Mathematics, Ewha Womans University, Seoul, South Korea","Dept. of Math., Ewha Womans Univ., Seoul, South Korea"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ewha Womans University, Seoul, South Korea","institution_ids":["https://openalex.org/I138925566"]},{"raw_affiliation_string":"Dept. of Math., Ewha Womans Univ., Seoul, South Korea","institution_ids":["https://openalex.org/I138925566"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.10440226,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"57","issue":"12","first_page":"8021","last_page":"8026"},"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/T11693","display_name":"Cryptography and Residue Arithmetic","score":0.996999979019165,"subfield":{"id":"https://openalex.org/subfields/1710","display_name":"Information Systems"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9968000054359436,"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/partially-ordered-set","display_name":"Partially ordered set","score":0.923985481262207},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7972292900085449},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6436942219734192},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.6105604767799377},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5849446654319763},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.5426410436630249},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.5400567650794983},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5205444097518921},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.5046113729476929},{"id":"https://openalex.org/keywords/hamming","display_name":"Hamming(7,4)","score":0.42872732877731323},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.14610853791236877},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.08861777186393738}],"concepts":[{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.923985481262207},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7972292900085449},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6436942219734192},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.6105604767799377},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5849446654319763},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.5426410436630249},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.5400567650794983},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5205444097518921},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.5046113729476929},{"id":"https://openalex.org/C112932734","wikidata":"https://www.wikidata.org/wiki/Q2322550","display_name":"Hamming(7,4)","level":5,"score":0.42872732877731323},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.14610853791236877},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.08861777186393738}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2011.2170111","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2011.2170111","pdf_url":null,"source":{"id":"https://openalex.org/S4502562","display_name":"IEEE Transactions on Information Theory","issn_l":"0018-9448","issn":["0018-9448","1557-9654"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Information Theory","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W1559343931","https://openalex.org/W1740055512","https://openalex.org/W1981518381","https://openalex.org/W2009231757","https://openalex.org/W2031242533","https://openalex.org/W2041317383","https://openalex.org/W2043474783","https://openalex.org/W2067569336","https://openalex.org/W2067929867","https://openalex.org/W2090792284","https://openalex.org/W2098121747","https://openalex.org/W2127466643","https://openalex.org/W2133644157","https://openalex.org/W2329519536","https://openalex.org/W2906680874","https://openalex.org/W2950887441","https://openalex.org/W2952664992","https://openalex.org/W3126112762","https://openalex.org/W4206775542","https://openalex.org/W4236854887","https://openalex.org/W6637725580"],"related_works":["https://openalex.org/W2008960744","https://openalex.org/W2371167013","https://openalex.org/W2105471374","https://openalex.org/W2740543340","https://openalex.org/W2014631828","https://openalex.org/W1964096323","https://openalex.org/W2119135810","https://openalex.org/W4302771537","https://openalex.org/W2921624411","https://openalex.org/W2613408642"],"abstract_inverted_index":{"We":[0,14,42],"prove":[1,43],"that":[2,44],"MDS":[3,17],"linear":[4,18,47],"poset-codes":[5,19,48],"satisfy":[6],"Gilbert-Varshamov":[7],"bound":[8],"for":[9,52],"their":[10],"Hamming":[11,56],"weights":[12,51],"asymptotically.":[13],"also":[15],"construct":[16],"on":[20],"arbitrary":[21],"poset-metric":[22],"spaces":[23],"by":[24],"using":[25],"the":[26,34],"Dilworth's":[27],"chain":[28],"decomposition":[29],"theorem":[30],"and":[31,55],"results":[32],"about":[33],"Hermite":[35],"interpolation":[36],"problem":[37],"over":[38],"a":[39],"finite":[40],"field.":[41],"there":[45],"exist":[46],"with":[49],"large":[50],"both":[53],"poset-metrics":[54],"metrics,":[57],"as":[58],"well.":[59]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
