{"id":"https://openalex.org/W2159865146","doi":"https://doi.org/10.1109/tit.2009.2034812","title":"New Completely Regular $q$-ary Codes Based on Kronecker Products","display_name":"New Completely Regular $q$-ary Codes Based on Kronecker Products","publication_year":2010,"publication_date":"2010-01-01","ids":{"openalex":"https://openalex.org/W2159865146","doi":"https://doi.org/10.1109/tit.2009.2034812","mag":"2159865146"},"language":"en","primary_location":{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2034812","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":null,"is_accepted":false,"is_published":false},"type":"article","type_crossref":"journal-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/A5082545070","display_name":"Josep Rif\u00e0","orcid":"https://orcid.org/0000-0001-9199-4001"},"institutions":[{"id":"https://openalex.org/I123044942","display_name":"Universitat Aut\u00f2noma de Barcelona","ror":"https://ror.org/052g8jq94","country_code":"ES","type":"education","lineage":["https://openalex.org/I123044942"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Josep Rifa","raw_affiliation_strings":["Department of Information and Communications Engineering, Universitat Aut\u00f2noma Barcelona, Bellaterra, Spain"],"affiliations":[{"raw_affiliation_string":"Department of Information and Communications Engineering, Universitat Aut\u00f2noma Barcelona, Bellaterra, Spain","institution_ids":["https://openalex.org/I123044942"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5005559475","display_name":"Victor Zinoviev","orcid":null},"institutions":[{"id":"https://openalex.org/I4210107660","display_name":"Institute for Information Transmission Problems","ror":"https://ror.org/013w2d378","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I4210097085","https://openalex.org/I4210107660"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Victor A. Zinoviev","raw_affiliation_strings":["Institute of Problems of Information Transmission, GSP-4, Russian Academy of Science, Moscow, Russia"],"affiliations":[{"raw_affiliation_string":"Institute of Problems of Information Transmission, GSP-4, Russian Academy of Science, Moscow, Russia","institution_ids":["https://openalex.org/I4210107660"]}]}],"institution_assertions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.95,"has_fulltext":true,"fulltext_origin":"ngrams","cited_by_count":26,"citation_normalized_percentile":{"value":0.901706,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":91},"biblio":{"volume":"56","issue":"1","first_page":"266","last_page":"272"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9999,"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":0.9999,"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":0.9999,"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/T10849","display_name":"Finite Group Theory Research","score":0.9981,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/kronecker-product","display_name":"Kronecker product","score":0.7193457},{"id":"https://openalex.org/keywords/coprime-integers","display_name":"Coprime integers","score":0.42422283}],"concepts":[{"id":"https://openalex.org/C39482219","wikidata":"https://www.wikidata.org/wiki/Q192826","display_name":"Kronecker delta","level":2,"score":0.8173926},{"id":"https://openalex.org/C46030957","wikidata":"https://www.wikidata.org/wiki/Q1238125","display_name":"Kronecker product","level":3,"score":0.7193457},{"id":"https://openalex.org/C174072685","wikidata":"https://www.wikidata.org/wiki/Q1667469","display_name":"Prime power","level":3,"score":0.68869317},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.66498893},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6533401},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.59101045},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.5546295},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.525882},{"id":"https://openalex.org/C184992742","wikidata":"https://www.wikidata.org/wiki/Q7243229","display_name":"Prime (order theory)","level":2,"score":0.5195173},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.5064727},{"id":"https://openalex.org/C191399111","wikidata":"https://www.wikidata.org/wiki/Q64861","display_name":"Transitive relation","level":2,"score":0.48147455},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.439628},{"id":"https://openalex.org/C23230895","wikidata":"https://www.wikidata.org/wiki/Q104752","display_name":"Coprime integers","level":2,"score":0.42422283},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21834397},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06888172},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2009.2034812","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":null,"is_accepted":false,"is_published":false}],"best_oa_location":null,"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":17,"referenced_works":["https://openalex.org/W109405981","https://openalex.org/W1492792328","https://openalex.org/W1606480398","https://openalex.org/W1983338136","https://openalex.org/W1988442902","https://openalex.org/W1990828614","https://openalex.org/W2009956376","https://openalex.org/W2015654207","https://openalex.org/W2040165727","https://openalex.org/W2102381125","https://openalex.org/W2130234052","https://openalex.org/W2138033161","https://openalex.org/W2143949584","https://openalex.org/W2159941431","https://openalex.org/W2319624714","https://openalex.org/W4285719527","https://openalex.org/W4298236575"],"related_works":["https://openalex.org/W577870507","https://openalex.org/W4375957393","https://openalex.org/W4233239985","https://openalex.org/W3102722572","https://openalex.org/W2117336295","https://openalex.org/W2090103374","https://openalex.org/W2079407403","https://openalex.org/W2073634779","https://openalex.org/W2060299328","https://openalex.org/W123417539"],"abstract_inverted_index":{"For":[0],"any":[1,8],"integer":[2],"\u00bf":[3,4,38],"1":[5],"and":[6,34],"for":[7],"prime":[9],"power":[10],"q":[11],",":[12],"an":[13,17,55],"explicit":[14,52],"construction":[15,53],"of":[16,20,54,58],"infinite":[18,56],"family":[19,57],"completely":[21,24,74],"regular":[22],"(and":[23],"transitive)":[25],"q-ary":[26,59],"codes":[27,62],"with":[28,35,67],"d":[31],"=":[32],"3":[33],"covering":[36,68],"radius":[37,69],"is":[39,44,76,85],"given.":[40,78],"The":[41],"intersection":[42],"array":[43],"also":[45,77],"computed.":[46],"Under":[47],"the":[48,51,64,82,86],"same":[49],"conditions,":[50],"uniformly":[60],"packed":[61],"(in":[63],"wide":[65],"sense)":[66],"\u00bf,":[70],"which":[71],"are":[72],"not":[73],"regular,":[75],"In":[79],"both":[80],"constructions,":[81],"Kronecker":[83],"product":[84],"basic":[87],"tool":[88],"that":[89],"has":[90],"been":[91],"used.":[92]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W2159865146","counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":5},{"year":2013,"cited_by_count":2}],"updated_date":"2025-01-16T20:26:52.629078","created_date":"2016-06-24"}