{"id":"https://openalex.org/W2009160369","doi":"https://doi.org/10.1109/tit.1973.1054939","title":"A note on the Griesmer bound (Corresp.)","display_name":"A note on the Griesmer bound (Corresp.)","publication_year":1973,"publication_date":"1973-01-01","ids":{"openalex":"https://openalex.org/W2009160369","doi":"https://doi.org/10.1109/tit.1973.1054939","mag":"2009160369"},"language":"en","primary_location":{"id":"doi:10.1109/tit.1973.1054939","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1973.1054939","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/A5008396055","display_name":"L. D. Baumert","orcid":null},"institutions":[{"id":"https://openalex.org/I1334627681","display_name":"Jet Propulsion Laboratory","ror":"https://ror.org/027k65916","country_code":"US","type":"facility","lineage":["https://openalex.org/I122411786","https://openalex.org/I1334627681","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"L. Baumert","raw_affiliation_strings":["Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA"],"affiliations":[{"raw_affiliation_string":"Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I1334627681"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5032497643","display_name":"Robert J. McEliece","orcid":null},"institutions":[{"id":"https://openalex.org/I1334627681","display_name":"Jet Propulsion Laboratory","ror":"https://ror.org/027k65916","country_code":"US","type":"facility","lineage":["https://openalex.org/I122411786","https://openalex.org/I1334627681","https://openalex.org/I4210124779"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"R. McEliece","raw_affiliation_strings":["Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA"],"affiliations":[{"raw_affiliation_string":"Jet Propulsion Laboratory, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I1334627681"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008396055"],"corresponding_institution_ids":["https://openalex.org/I1334627681"],"apc_list":null,"apc_paid":null,"fwci":1.6448,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.86685315,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"19","issue":"1","first_page":"134","last_page":"135"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9976999759674072,"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/T10125","display_name":"Advanced Wireless Communication Techniques","score":0.9929999709129333,"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/computer-science","display_name":"Computer science","score":0.3869817554950714},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.33179008960723877},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2718336582183838}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3869817554950714},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.33179008960723877},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2718336582183838}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.1973.1054939","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.1973.1054939","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":2,"referenced_works":["https://openalex.org/W1965097372","https://openalex.org/W2017740623"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2382290278","https://openalex.org/W2350741829","https://openalex.org/W2130043461","https://openalex.org/W2530322880","https://openalex.org/W1596801655"],"abstract_inverted_index":{"Griesmer's":[0],"lower":[1],"bound":[2],"for":[3,30],"the":[4,54],"word":[5,56],"length":[6,57],"<tex":[7,16,22,32,37,44,51],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[8,17,23,33,38,45,52],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</tex>":[9],"of":[10,14],"a":[11],"linear":[12],"code":[13],"dimension":[15],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">k</tex>":[18,34],"and":[19,49],"minimum":[20,55],"distance":[21],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">d</tex>":[24,39,53],"is":[25,40,58],"shown":[26],"to":[27],"be":[28],"sharp":[29],"fixed":[31],",":[35],"when":[36],"sufficiently":[41],"large.":[42],"For":[43],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">k":[46],"\\leq":[47],"6</tex>":[48],"all":[50],"determined.":[59]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-03-08T08:50:53.379069","created_date":"2016-06-24T00:00:00"}