{"id":"https://openalex.org/W2795508056","doi":"https://doi.org/10.1109/tit.2019.2946635","title":"Additive Quaternary Codes Related to Exceptional Linear Quaternary Codes","display_name":"Additive Quaternary Codes Related to Exceptional Linear Quaternary Codes","publication_year":2019,"publication_date":"2019-10-11","ids":{"openalex":"https://openalex.org/W2795508056","doi":"https://doi.org/10.1109/tit.2019.2946635","mag":"2795508056"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2019.2946635","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2946635","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":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1804.02468","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Jurgen Bierbrauer","orcid":null},"institutions":[{"id":"https://openalex.org/I11957088","display_name":"Michigan Technological University","ror":"https://ror.org/0036rpn28","country_code":"US","type":"education","lineage":["https://openalex.org/I11957088"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jurgen Bierbrauer","raw_affiliation_strings":["Department of Mathematical Sciences, Michigan Technological University, Houghton, USA","Department of Mathematical Sciences; Michigan Technological University; Houghton, MI USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Michigan Technological University, Houghton, USA","institution_ids":["https://openalex.org/I11957088"]},{"raw_affiliation_string":"Department of Mathematical Sciences; Michigan Technological University; Houghton, MI USA","institution_ids":["https://openalex.org/I11957088"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028598034","display_name":"Stefano Marcugini","orcid":"https://orcid.org/0000-0002-7961-0260"},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Stefano Marcugini","raw_affiliation_strings":["Department of Mathematics and Informatics, University of Perugia, Perugia, Italy","[Department of Mathematics and Informatics, University of Perugia, Perugia, Italy]"],"raw_orcid":"https://orcid.org/0000-0002-7961-0260","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, University of Perugia, Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]},{"raw_affiliation_string":"[Department of Mathematics and Informatics, University of Perugia, Perugia, Italy]","institution_ids":["https://openalex.org/I27483092"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010058458","display_name":"Fernanda Pambianco","orcid":"https://orcid.org/0000-0001-5476-5365"},"institutions":[{"id":"https://openalex.org/I27483092","display_name":"University of Perugia","ror":"https://ror.org/00x27da85","country_code":"IT","type":"education","lineage":["https://openalex.org/I27483092"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Fernanda Pambianco","raw_affiliation_strings":["Department of Mathematics and Informatics, University of Perugia, Perugia, Italy","[Department of Mathematics and Informatics, University of Perugia, Perugia, Italy]"],"raw_orcid":"https://orcid.org/0000-0001-5476-5365","affiliations":[{"raw_affiliation_string":"Department of Mathematics and Informatics, University of Perugia, Perugia, Italy","institution_ids":["https://openalex.org/I27483092"]},{"raw_affiliation_string":"[Department of Mathematics and Informatics, University of Perugia, Perugia, Italy]","institution_ids":["https://openalex.org/I27483092"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00400475,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"66","issue":"1","first_page":"273","last_page":"277"},"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":0.9900000095367432,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9846000075340271,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/quaternary","display_name":"Quaternary","score":0.8303791880607605},{"id":"https://openalex.org/keywords/quadric","display_name":"Quadric","score":0.6601098775863647},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.5655560493469238},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.5160896182060242},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5136070251464844},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5036100745201111},{"id":"https://openalex.org/keywords/dual-code","display_name":"Dual code","score":0.46085992455482483},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3136133551597595},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.24299085140228271},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.2419244647026062},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.23334500193595886},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07527261972427368},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.06673532724380493},{"id":"https://openalex.org/keywords/geology","display_name":"Geology","score":0.059197068214416504}],"concepts":[{"id":"https://openalex.org/C160464908","wikidata":"https://www.wikidata.org/wiki/Q26185","display_name":"Quaternary","level":2,"score":0.8303791880607605},{"id":"https://openalex.org/C2779219049","wikidata":"https://www.wikidata.org/wiki/Q852117","display_name":"Quadric","level":2,"score":0.6601098775863647},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.5655560493469238},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.5160896182060242},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5136070251464844},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5036100745201111},{"id":"https://openalex.org/C73666251","wikidata":"https://www.wikidata.org/wiki/Q5310189","display_name":"Dual code","level":5,"score":0.46085992455482483},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3136133551597595},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.24299085140228271},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2419244647026062},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.23334500193595886},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07527261972427368},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.06673532724380493},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.059197068214416504},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/tit.2019.2946635","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2019.2946635","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"},{"id":"pmh:oai:arXiv.org:1804.02468","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1804.02468","pdf_url":"https://arxiv.org/pdf/1804.02468","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:2795508056","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1804.02468.pdf","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":"pmh:oai:digitalcommons.mtu.edu:michigantech-p-2598","is_oa":false,"landing_page_url":"https://digitalcommons.mtu.edu/michigantech-p/1588","pdf_url":null,"source":{"id":"https://openalex.org/S4377196391","display_name":"Digital Commons - Michigan Tech (Michigan Technological University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I11957088","host_organization_name":"Michigan Technological University","host_organization_lineage":["https://openalex.org/I11957088"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Michigan Tech Publications, Part 1","raw_type":"text"},{"id":"doi:10.48550/arxiv.1804.02468","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1804.02468","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":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1804.02468","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1804.02468","pdf_url":"https://arxiv.org/pdf/1804.02468","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":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320311030","display_name":"Istituto Nazionale di Alta Matematica \"Francesco Severi\"","ror":"https://ror.org/01vx64p53"},{"id":"https://openalex.org/F4320321873","display_name":"Ministero dell\u2019Istruzione, dell\u2019Universit\u00e0 e della Ricerca","ror":"https://ror.org/0166hxq48"},{"id":"https://openalex.org/F4320326523","display_name":"Universit\u00e0 degli Studi di Perugia","ror":"https://ror.org/00x27da85"},{"id":"https://openalex.org/F4320334045","display_name":"Gruppo Nazionale per le Strutture Algebriche, Geometriche e le loro Applicazioni","ror":null}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2795508056.pdf","grobid_xml":"https://content.openalex.org/works/W2795508056.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W64030657","https://openalex.org/W1209578130","https://openalex.org/W1929918490","https://openalex.org/W1976677460","https://openalex.org/W2044931146","https://openalex.org/W2056498695","https://openalex.org/W2161038010","https://openalex.org/W2167413626","https://openalex.org/W3140261953"],"related_works":["https://openalex.org/W2979761620","https://openalex.org/W2350050571","https://openalex.org/W1882412879","https://openalex.org/W2097917078","https://openalex.org/W3104304785","https://openalex.org/W2483032836","https://openalex.org/W2004835146","https://openalex.org/W2035898047","https://openalex.org/W2042187478","https://openalex.org/W1617825208","https://openalex.org/W3196369316","https://openalex.org/W1547577016","https://openalex.org/W2177092276","https://openalex.org/W2988051777","https://openalex.org/W1503101510","https://openalex.org/W2051706912","https://openalex.org/W1973620888","https://openalex.org/W3016550227","https://openalex.org/W2100756859","https://openalex.org/W2077430750"],"abstract_inverted_index":{"We":[0],"study":[1],"additive":[2,45,50],"quaternary":[3,21,61],"codes":[4,23,40,46,51],"whose":[5,52],"parameters":[6,53,66],"are":[7,54,67],"close":[8],"to":[9,19],"those":[10,39,57],"of":[11,44,58],"the":[12,20,26,42],"extended":[13],"cyclic":[14],"[12,":[15],"6,":[16],"6]4-code":[17],"or":[18,32],"linear":[22,60],"generated":[24],"by":[25],"elliptic":[27],"quadric":[28],"in":[29,41],"PG(3,":[30],"4)":[31],"its":[33],"dual.":[34],"In":[35],"particular":[36],"we":[37],"characterize":[38],"category":[43],"and":[47],"construct":[48],"some":[49],"better":[55],"than":[56],"any":[59],"code.":[62],"Our":[63],"new":[64],"code":[65],"[22,":[68],"17.5,":[69],"4]4.":[70]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
