{"id":"https://openalex.org/W3017322179","doi":"https://doi.org/10.1007/s12190-020-01348-1","title":"Optimal binary and ternary linear codes with hull dimension one","display_name":"Optimal binary and ternary linear codes with hull dimension one","publication_year":2020,"publication_date":"2020-04-18","ids":{"openalex":"https://openalex.org/W3017322179","doi":"https://doi.org/10.1007/s12190-020-01348-1","mag":"3017322179"},"language":"en","primary_location":{"id":"doi:10.1007/s12190-020-01348-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-020-01348-1","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":"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/A5052930209","display_name":"Todsapol Mankean","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":true,"raw_author_name":"Todsapol Mankean","raw_affiliation_strings":["Department of Mathematics, Faculty of Science, Silpakorn University, Nakhon Pathom, 73000, 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"]}]},{"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"],"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"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5052930209"],"corresponding_institution_ids":["https://openalex.org/I86677382"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.4077,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.68650282,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"64","issue":"1-2","first_page":"137","last_page":"155"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9901000261306763,"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"}},{"id":"https://openalex.org/T13779","display_name":"Cancer Mechanisms and Therapy","score":0.9894000291824341,"subfield":{"id":"https://openalex.org/subfields/2734","display_name":"Pathology and Forensic Medicine"},"field":{"id":"https://openalex.org/fields/27","display_name":"Medicine"},"domain":{"id":"https://openalex.org/domains/4","display_name":"Health Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8849945068359375},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.8127634525299072},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.7134575247764587},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.5905013680458069},{"id":"https://openalex.org/keywords/ternary-operation","display_name":"Ternary operation","score":0.5401486754417419},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5168862342834473},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5146830677986145},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.4809112548828125},{"id":"https://openalex.org/keywords/theory-of-computation","display_name":"Theory of computation","score":0.4803944230079651},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.4723445177078247},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.44728347659111023},{"id":"https://openalex.org/keywords/ternary-golay-code","display_name":"Ternary Golay code","score":0.4387093484401703},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.3493267893791199},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.17844444513320923},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.16496416926383972},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06179586052894592}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8849945068359375},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.8127634525299072},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.7134575247764587},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.5905013680458069},{"id":"https://openalex.org/C64452783","wikidata":"https://www.wikidata.org/wiki/Q1524945","display_name":"Ternary operation","level":2,"score":0.5401486754417419},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5168862342834473},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5146830677986145},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.4809112548828125},{"id":"https://openalex.org/C24858836","wikidata":"https://www.wikidata.org/wiki/Q844718","display_name":"Theory of computation","level":2,"score":0.4803944230079651},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.4723445177078247},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.44728347659111023},{"id":"https://openalex.org/C108906091","wikidata":"https://www.wikidata.org/wiki/Q7702927","display_name":"Ternary Golay code","level":5,"score":0.4387093484401703},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.3493267893791199},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.17844444513320923},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.16496416926383972},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06179586052894592},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s12190-020-01348-1","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s12190-020-01348-1","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"}],"best_oa_location":null,"sustainable_development_goals":[],"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"}],"funders":[{"id":"https://openalex.org/F4320322614","display_name":"Thailand Research Fund","ror":"https://ror.org/03gd1bh37"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":32,"referenced_works":["https://openalex.org/W1559343931","https://openalex.org/W1963661276","https://openalex.org/W1980741888","https://openalex.org/W1999774889","https://openalex.org/W2026316191","https://openalex.org/W2048720492","https://openalex.org/W2061270859","https://openalex.org/W2068487922","https://openalex.org/W2076748366","https://openalex.org/W2082432729","https://openalex.org/W2112194071","https://openalex.org/W2119117325","https://openalex.org/W2137420814","https://openalex.org/W2137583829","https://openalex.org/W2144634231","https://openalex.org/W2282104735","https://openalex.org/W2564164928","https://openalex.org/W2577690138","https://openalex.org/W2592169574","https://openalex.org/W2605912963","https://openalex.org/W2741525217","https://openalex.org/W2787275646","https://openalex.org/W2795594180","https://openalex.org/W2897844431","https://openalex.org/W2938817748","https://openalex.org/W2942342044","https://openalex.org/W2962894585","https://openalex.org/W2963105100","https://openalex.org/W2974676816","https://openalex.org/W2999881627","https://openalex.org/W3121556672","https://openalex.org/W4206775542"],"related_works":["https://openalex.org/W2035862129","https://openalex.org/W135568846","https://openalex.org/W2460434904","https://openalex.org/W1789159349","https://openalex.org/W2113911300","https://openalex.org/W4244929333","https://openalex.org/W2151857680","https://openalex.org/W4386066307","https://openalex.org/W832867880","https://openalex.org/W917159298"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
