{"id":"https://openalex.org/W2007625134","doi":"https://doi.org/10.1109/tit.2012.2197176","title":"Upper Bounds on the Weight Distribution Function for Some Classes of Linear Codes","display_name":"Upper Bounds on the Weight Distribution Function for Some Classes of Linear Codes","publication_year":2012,"publication_date":"2012-07-10","ids":{"openalex":"https://openalex.org/W2007625134","doi":"https://doi.org/10.1109/tit.2012.2197176","mag":"2007625134"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2012.2197176","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2197176","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/A5030629295","display_name":"Torleiv Kl\u00f8ve","orcid":"https://orcid.org/0000-0002-9853-4136"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"T. Klove","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, Norway","[Dept. of Inf., Univ. of Bergen, Bergen, Norway]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"[Dept. of Inf., Univ. of Bergen, Bergen, Norway]","institution_ids":["https://openalex.org/I4432739"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005937717","display_name":"Jinquan Luo","orcid":"https://orcid.org/0000-0002-6703-7241"},"institutions":[{"id":"https://openalex.org/I4432739","display_name":"University of Bergen","ror":"https://ror.org/03zga2b32","country_code":"NO","type":"education","lineage":["https://openalex.org/I4432739"]}],"countries":["NO"],"is_corresponding":false,"raw_author_name":"Jinquan Luo","raw_affiliation_strings":["Department of Informatics, University of Bergen, Bergen, Norway","[Dept. of Inf., Univ. of Bergen, Bergen, Norway]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Informatics, University of Bergen, Bergen, Norway","institution_ids":["https://openalex.org/I4432739"]},{"raw_affiliation_string":"[Dept. of Inf., Univ. of Bergen, Bergen, Norway]","institution_ids":["https://openalex.org/I4432739"]}]}],"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":1,"citation_normalized_percentile":{"value":0.08698114,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":91,"max":95},"biblio":{"volume":"58","issue":"8","first_page":"5512","last_page":"5521"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.8189871311187744},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7279675006866455},{"id":"https://openalex.org/keywords/weight-distribution","display_name":"Weight distribution","score":0.6904592514038086},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5951474905014038},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5501537919044495},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5016677379608154},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.4710400402545929},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4645417034626007},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.42788225412368774},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.30567771196365356},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.2401348352432251},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09207326173782349},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06383025646209717}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.8189871311187744},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7279675006866455},{"id":"https://openalex.org/C25432639","wikidata":"https://www.wikidata.org/wiki/Q3711790","display_name":"Weight distribution","level":2,"score":0.6904592514038086},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5951474905014038},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5501537919044495},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5016677379608154},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.4710400402545929},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4645417034626007},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.42788225412368774},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.30567771196365356},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.2401348352432251},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09207326173782349},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06383025646209717},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2012.2197176","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2012.2197176","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":[{"id":"https://metadata.un.org/sdg/10","score":0.46000000834465027,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W149695902","https://openalex.org/W993303849","https://openalex.org/W1651818244","https://openalex.org/W2014117013","https://openalex.org/W2022307734","https://openalex.org/W2040009340","https://openalex.org/W2098312120","https://openalex.org/W2488143187","https://openalex.org/W4248832625"],"related_works":["https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1789159349","https://openalex.org/W1963637513","https://openalex.org/W2113911300","https://openalex.org/W4386066307","https://openalex.org/W832867880","https://openalex.org/W2151857680","https://openalex.org/W2147254059","https://openalex.org/W917159298"],"abstract_inverted_index":{"Upper":[0],"bounds":[1],"on":[2,31,53],"the":[3,19,32,54],"weight":[4,33],"distribution":[5,34],"function":[6,35],"for":[7,36,59],"codes":[8,37,61],"of":[9,38,56],"minimum":[10,39],"distance":[11,40],"at":[12,41],"least":[13,42],"2":[14],"are":[15,25],"given.":[16,45],"Codes,":[17],"where":[18],"bound":[20,30,52],"is":[21,44,65],"met":[22],"with":[23,62],"equality,":[24],"characterized.":[26,66],"An":[27],"improved":[28],"upper":[29,51],"3":[43],"As":[46],"an":[47],"application,":[48],"a":[49],"sharp":[50],"probability":[55],"undetected":[57],"error":[58],"linear":[60],"full":[63],"support":[64]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}