{"id":"https://openalex.org/W2966039054","doi":"https://doi.org/10.1007/s12190-019-01286-7","title":"Hulls of linear codes revisited with applications","display_name":"Hulls of linear codes revisited with applications","publication_year":2019,"publication_date":"2019-09-18","ids":{"openalex":"https://openalex.org/W2966039054","doi":"https://doi.org/10.1007/s12190-019-01286-7","mag":"2966039054"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-019-01286-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-019-01286-7","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1907.12026","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5001796570","display_name":"Satanan Thipworawimon","orcid":null},"institutions":[{"id":"https://openalex.org/I86677382","display_name":"Silpakorn University","ror":"https://ror.org/02d0tyt78","country_code":"TH","type":"education","lineage":["https://openalex.org/I86677382"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Satanan Thipworawimon","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom, 73000, Thailand","Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom, Thailand"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom, 73000, Thailand","institution_ids":["https://openalex.org/I86677382"]},{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom, Thailand","institution_ids":["https://openalex.org/I86677382"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004408061","display_name":"Somphong Jitman","orcid":"https://orcid.org/0000-0003-1076-0866"},"institutions":[{"id":"https://openalex.org/I86677382","display_name":"Silpakorn University","ror":"https://ror.org/02d0tyt78","country_code":"TH","type":"education","lineage":["https://openalex.org/I86677382"]}],"countries":["TH"],"is_corresponding":false,"raw_author_name":"Somphong Jitman","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom, 73000, Thailand","Silpakorn University"],"raw_orcid":"https://orcid.org/0000-0003-1076-0866","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom, 73000, Thailand","institution_ids":["https://openalex.org/I86677382"]},{"raw_affiliation_string":"Silpakorn University","institution_ids":["https://openalex.org/I86677382"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I86677382"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08406046,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"62","issue":"1-2","first_page":"325","last_page":"340"},"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/T10682","display_name":"Quantum Computing Algorithms and Architecture","score":0.9975000023841858,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9934999942779541,"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/generator-matrix","display_name":"Generator matrix","score":0.9153252840042114},{"id":"https://openalex.org/keywords/finite-field","display_name":"Finite field","score":0.6931525468826294},{"id":"https://openalex.org/keywords/diagonalizable-matrix","display_name":"Diagonalizable matrix","score":0.6718440651893616},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.6299906969070435},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6174459457397461},{"id":"https://openalex.org/keywords/gramian-matrix","display_name":"Gramian matrix","score":0.5632038712501526},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.49875688552856445},{"id":"https://openalex.org/keywords/group-code","display_name":"Group code","score":0.42031237483024597},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37065887451171875},{"id":"https://openalex.org/keywords/eigenvalues-and-eigenvectors","display_name":"Eigenvalues and eigenvectors","score":0.30505508184432983},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.30361223220825195},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23022910952568054},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.17225313186645508},{"id":"https://openalex.org/keywords/symmetric-matrix","display_name":"Symmetric matrix","score":0.152631938457489}],"concepts":[{"id":"https://openalex.org/C1842014","wikidata":"https://www.wikidata.org/wiki/Q1502046","display_name":"Generator matrix","level":3,"score":0.9153252840042114},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.6931525468826294},{"id":"https://openalex.org/C30072841","wikidata":"https://www.wikidata.org/wiki/Q1767080","display_name":"Diagonalizable matrix","level":4,"score":0.6718440651893616},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.6299906969070435},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6174459457397461},{"id":"https://openalex.org/C77246614","wikidata":"https://www.wikidata.org/wiki/Q1409400","display_name":"Gramian matrix","level":3,"score":0.5632038712501526},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.49875688552856445},{"id":"https://openalex.org/C3427991","wikidata":"https://www.wikidata.org/wiki/Q651426","display_name":"Group code","level":5,"score":0.42031237483024597},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37065887451171875},{"id":"https://openalex.org/C158693339","wikidata":"https://www.wikidata.org/wiki/Q190524","display_name":"Eigenvalues and eigenvectors","level":2,"score":0.30505508184432983},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.30361223220825195},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23022910952568054},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.17225313186645508},{"id":"https://openalex.org/C54848796","wikidata":"https://www.wikidata.org/wiki/Q339011","display_name":"Symmetric matrix","level":3,"score":0.152631938457489},{"id":"https://openalex.org/C199104240","wikidata":"https://www.wikidata.org/wiki/Q118291","display_name":"Marine engineering","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s12190-019-01286-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-019-01286-7","pdf_url":null,"source":{"id":"https://openalex.org/S199913245","display_name":"Journal of Applied Mathematics and Computing","issn_l":"1598-5865","issn":["1598-5865","1865-2085"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics and Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1907.12026","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.12026","pdf_url":"https://arxiv.org/pdf/1907.12026","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2966039054","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1907.12026","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1907.12026","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1907.12026","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1907.12026","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1907.12026","pdf_url":"https://arxiv.org/pdf/1907.12026","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[{"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11","score":0.5400000214576721}],"awards":[{"id":"https://openalex.org/G2331487761","display_name":null,"funder_award_id":"RSA6280042","funder_id":"https://openalex.org/F4320322614","funder_display_name":"Thailand Research Fund"},{"id":"https://openalex.org/G7914380138","display_name":null,"funder_award_id":"RSA6280042","funder_id":"https://openalex.org/F4320323871","funder_display_name":"Silpakorn University"}],"funders":[{"id":"https://openalex.org/F4320322614","display_name":"Thailand Research Fund","ror":"https://ror.org/03gd1bh37"},{"id":"https://openalex.org/F4320323871","display_name":"Silpakorn University","ror":"https://ror.org/02d0tyt78"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2966039054.pdf","grobid_xml":"https://content.openalex.org/works/W2966039054.grobid-xml"},"referenced_works_count":30,"referenced_works":["https://openalex.org/W1963661276","https://openalex.org/W1976677460","https://openalex.org/W1980741888","https://openalex.org/W1982432882","https://openalex.org/W1999774889","https://openalex.org/W2020636832","https://openalex.org/W2026316191","https://openalex.org/W2048720492","https://openalex.org/W2051471360","https://openalex.org/W2061270859","https://openalex.org/W2076748366","https://openalex.org/W2082432729","https://openalex.org/W2119117325","https://openalex.org/W2137420814","https://openalex.org/W2137583829","https://openalex.org/W2144634231","https://openalex.org/W2172053063","https://openalex.org/W2564164928","https://openalex.org/W2592169574","https://openalex.org/W2617413272","https://openalex.org/W2787275646","https://openalex.org/W2889815472","https://openalex.org/W2897844431","https://openalex.org/W2938817748","https://openalex.org/W2962894585","https://openalex.org/W2963105100","https://openalex.org/W2963734035","https://openalex.org/W3098419466","https://openalex.org/W3121556672","https://openalex.org/W6600669965"],"related_works":["https://openalex.org/W2974676816","https://openalex.org/W2700913175","https://openalex.org/W3095860163","https://openalex.org/W2536942729","https://openalex.org/W2885836637","https://openalex.org/W3210710140","https://openalex.org/W2013711538","https://openalex.org/W2891567330","https://openalex.org/W2795810109","https://openalex.org/W2765734634","https://openalex.org/W2921605374","https://openalex.org/W2950051509","https://openalex.org/W2605912963","https://openalex.org/W1889890334","https://openalex.org/W2551442274","https://openalex.org/W2953392228","https://openalex.org/W3009873647","https://openalex.org/W2960808354","https://openalex.org/W3082966133","https://openalex.org/W2963412427"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-01T08:55:40.977307","created_date":"2025-10-10T00:00:00"}
