{"id":"https://openalex.org/W1984386375","doi":"https://doi.org/10.1109/tit.1985.1057061","title":"An upper bound on the weight distribution of some systematic codes (Corresp.)","display_name":"An upper bound on the weight distribution of some systematic codes (Corresp.)","publication_year":1985,"publication_date":"1985-07-01","ids":{"openalex":"https://openalex.org/W1984386375","doi":"https://doi.org/10.1109/tit.1985.1057061","mag":"1984386375"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1985.1057061","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1985.1057061","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/A5111796032","display_name":"P. Piret","orcid":null},"institutions":[{"id":"https://openalex.org/I4210121059","display_name":"Canon (France)","ror":"https://ror.org/02se40x69","country_code":"FR","type":"company","lineage":["https://openalex.org/I1320697193","https://openalex.org/I4210121059"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"P. Piret","raw_affiliation_strings":["Canon Research Centre France, Cesson-S&#233;vign&#233;, France","Canon Research Centre France, Cesson-S\u00e9vign\u00e9, France#TAB#"],"affiliations":[{"raw_affiliation_string":"Canon Research Centre France, Cesson-S&#233;vign&#233;, France","institution_ids":["https://openalex.org/I4210121059"]},{"raw_affiliation_string":"Canon Research Centre France, Cesson-S\u00e9vign\u00e9, France#TAB#","institution_ids":["https://openalex.org/I4210121059"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111796032"],"corresponding_institution_ids":["https://openalex.org/I4210121059"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.09923976,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"31","issue":"4","first_page":"520","last_page":"521"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9988999962806702,"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":0.9988999962806702,"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/T12029","display_name":"DNA and Biological Computing","score":0.9878000020980835,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T10207","display_name":"Advanced biosensing and bioanalysis techniques","score":0.9796000123023987,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.7297015190124512},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5738992691040039},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5238713622093201},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48888057470321655},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4628426730632782},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3871711194515228},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3636603355407715},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32967913150787354},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24860545992851257},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.15176835656166077},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.14770802855491638}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.7297015190124512},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5738992691040039},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5238713622093201},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48888057470321655},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4628426730632782},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3871711194515228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3636603355407715},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32967913150787354},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24860545992851257},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.15176835656166077},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.14770802855491638}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1985.1057061","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1985.1057061","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1608514106","https://openalex.org/W2032029155","https://openalex.org/W2182112064","https://openalex.org/W2917893419"],"related_works":["https://openalex.org/W2002177687","https://openalex.org/W2058438338","https://openalex.org/W2019471580","https://openalex.org/W2941284322","https://openalex.org/W4224920876","https://openalex.org/W2168299207","https://openalex.org/W4323715530","https://openalex.org/W4367310677","https://openalex.org/W24519920","https://openalex.org/W2087778462"],"abstract_inverted_index":{"For":[0],"a":[1],"class":[2,20],"of":[3,7,21,36,38],"binary":[4,27],"systematic":[5],"codes":[6],"length":[8],"<tex":[9,14,23,40,51],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[10,15,24,41,52],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</tex>":[11],"and":[12],"cardinality":[13],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2^{k}</tex>":[16],",":[17],"including":[18],"the":[19,34],"linear":[22],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">(n,":[25],"k)</tex>":[26],"cyclic":[28],"codes,":[29],"it":[30],"is":[31],"shown":[32],"that":[33],"number":[35],"codewords":[37],"weight":[39],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\\lfloor":[42],"\\omega":[43],"n":[44],"\\rfloor</tex>":[45],"cannot":[46],"be":[47],"much":[48],"larger":[49],"than":[50],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">2^{kH(\\omega)</tex>":[53],".":[54]},"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
