{"id":"https://openalex.org/W2549679876","doi":"https://doi.org/10.1109/tit.2016.2628404","title":"List Decodability of Random Subcodes of Gabidulin Codes","display_name":"List Decodability of Random Subcodes of Gabidulin Codes","publication_year":2016,"publication_date":"2016-11-14","ids":{"openalex":"https://openalex.org/W2549679876","doi":"https://doi.org/10.1109/tit.2016.2628404","mag":"2549679876"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2016.2628404","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2628404","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/A5100453848","display_name":"Shu Liu","orcid":"https://orcid.org/0000-0001-6907-8787"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":true,"raw_author_name":"Shu Liu","raw_affiliation_strings":["Division of Mathematical Sciences, Nanyang Technological University, Singapore","Division of Mathematical Sciences; Nanyang Technological University; Singapore"],"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Division of Mathematical Sciences; Nanyang Technological University; Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019628468","display_name":"Chaoping Xing","orcid":"https://orcid.org/0000-0002-1257-1033"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Chaoping Xing","raw_affiliation_strings":["Division of Mathematical Sciences, Nanyang Technological University, Singapore","Division of Mathematical Sciences; Nanyang Technological University; Singapore"],"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Division of Mathematical Sciences; Nanyang Technological University; Singapore","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5074838647","display_name":"Chen Yuan","orcid":"https://orcid.org/0000-0002-3730-8397"},"institutions":[{"id":"https://openalex.org/I172675005","display_name":"Nanyang Technological University","ror":"https://ror.org/02e7b5302","country_code":"SG","type":"education","lineage":["https://openalex.org/I172675005"]}],"countries":["SG"],"is_corresponding":false,"raw_author_name":"Chen Yuan","raw_affiliation_strings":["Division of Mathematical Sciences, Nanyang Technological University, Singapore","Division of Mathematical Sciences; Nanyang Technological University; Singapore"],"affiliations":[{"raw_affiliation_string":"Division of Mathematical Sciences, Nanyang Technological University, Singapore","institution_ids":["https://openalex.org/I172675005"]},{"raw_affiliation_string":"Division of Mathematical Sciences; Nanyang Technological University; Singapore","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5100453848"],"corresponding_institution_ids":["https://openalex.org/I172675005"],"apc_list":null,"apc_paid":null,"fwci":1.7139,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.89352018,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"63","issue":"1","first_page":"159","last_page":"163"},"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":0.9988999962806702,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9962999820709229,"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/computer-science","display_name":"Computer science","score":0.6037303805351257},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37054723501205444},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.344184011220932}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6037303805351257},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37054723501205444},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.344184011220932}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2016.2628404","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2016.2628404","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1582484623","https://openalex.org/W2055060019","https://openalex.org/W2068593329","https://openalex.org/W2072942107","https://openalex.org/W2094420277","https://openalex.org/W2125708265","https://openalex.org/W2136571043","https://openalex.org/W2139416652","https://openalex.org/W2300305160","https://openalex.org/W2323514020","https://openalex.org/W2962976342"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2042127053","https://openalex.org/W2142036596"],"abstract_inverted_index":{"Efficient":[0],"list":[1,15,37,80,98,118],"decoding":[2,38,49,121],"of":[3,17,40,59,72,74,91,112,126],"rank-metric":[4,19],"codes":[5,13,20,42,93],"seems":[6],"more":[7],"difficult":[8],"compared":[9],"with":[10,106,120],"classical":[11],"block":[12],"although":[14],"decodability":[16],"random":[18,110],"is":[21,43],"completely":[22],"determined":[23],"by":[24,31],"Ding.":[25],"For":[26],"example,":[27],"it":[28],"was":[29],"shown":[30],"Raviv":[32],"and":[33,66],"Wachter-Zeh":[34],"that":[35,89],"the":[36,44,47,53,62,84,127],"radius":[39,122],"Gabidulin":[41,75,92,114],"same":[45],"as":[46],"unique":[48],"radius,":[50],"i.e.,":[51],"half":[52,125],"minimum":[54,128],"distance":[55],"for":[56,97],"some":[57],"instances":[58],"parameters.":[60],"On":[61],"other":[63],"hand,":[64],"Guruswami":[65],"Xing":[67],"give":[68],"an":[69],"explicit":[70],"construction":[71],"subcodes":[73,90],"codes,":[76],"which":[77],"can":[78,116],"be":[79,117],"decoded":[81,119],"up":[82],"to":[83],"Singleton":[85],"bound.":[86],"This":[87],"implies":[88],"are":[94],"good":[95],"candidates":[96],"decoding.":[99],"In":[100],"this":[101],"paper,":[102],"we":[103],"confirm":[104],"that,":[105],"overwhelming":[107],"probability,":[108],"a":[109,113],"subcode":[111],"code":[115],"far":[123],"beyond":[124],"distance.":[129]},"counts_by_year":[{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}