{"id":"https://openalex.org/W2766744273","doi":"https://doi.org/10.1109/isit.2018.8437698","title":"On the List-Decodability of Random Linear Rank-Metric Codes","display_name":"On the List-Decodability of Random Linear Rank-Metric Codes","publication_year":2018,"publication_date":"2018-06-01","ids":{"openalex":"https://openalex.org/W2766744273","doi":"https://doi.org/10.1109/isit.2018.8437698","mag":"2766744273"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2018.8437698","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437698","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1710.11516","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068388812","display_name":"Venkatesan Guruswami","orcid":"https://orcid.org/0000-0001-7926-3396"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Venkatesan Guruswami","raw_affiliation_strings":["Carnegie Mellon University, Computer Science Department, Pittsburgh, PA, USA","Carnegie Mellon University,Computer Science Department,Pittsburgh,PA,USA"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Computer Science Department, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Carnegie Mellon University,Computer Science Department,Pittsburgh,PA,USA","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065218643","display_name":"Nicolas Resch","orcid":"https://orcid.org/0000-0002-5133-5631"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Nicolas Resch","raw_affiliation_strings":["Carnegie Mellon University, Computer Science Department, Pittsburgh, PA, USA","Carnegie Mellon University,Computer Science Department,Pittsburgh,PA,USA"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University, Computer Science Department, Pittsburgh, PA, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Carnegie Mellon University,Computer Science Department,Pittsburgh,PA,USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068388812"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":0.3385,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.66647943,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"1505","last_page":"1509"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9990000128746033,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9987000226974487,"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/combinatorics","display_name":"Combinatorics","score":0.7788931131362915},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.766035795211792},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.667859673500061},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.6660648584365845},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5069056153297424},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4786014258861542},{"id":"https://openalex.org/keywords/radius","display_name":"RADIUS","score":0.42910414934158325},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4201722741127014},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07790684700012207}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7788931131362915},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.766035795211792},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.667859673500061},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.6660648584365845},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5069056153297424},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4786014258861542},{"id":"https://openalex.org/C178635117","wikidata":"https://www.wikidata.org/wiki/Q747499","display_name":"RADIUS","level":2,"score":0.42910414934158325},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4201722741127014},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07790684700012207},{"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/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","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/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1109/isit.2018.8437698","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2018.8437698","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1710.11516","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1710.11516","pdf_url":"https://arxiv.org/pdf/1710.11516","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":null},{"id":"mag:2766744273","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1710.11516","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.1710.11516","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1710.11516","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:1710.11516","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1710.11516","pdf_url":"https://arxiv.org/pdf/1710.11516","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":null},"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.41999998688697815,"id":"https://metadata.un.org/sdg/10"}],"awards":[{"id":"https://openalex.org/G5200908636","display_name":"CIF/AF: Small: Some fundamental complexity-inspired coding theory challenges","funder_award_id":"1422045","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5516271510","display_name":null,"funder_award_id":"CGSD2","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G6476964252","display_name":null,"funder_award_id":"CGSD2-502898","funder_id":"https://openalex.org/F4320334593","funder_display_name":"Natural Sciences and Engineering Research Council of Canada"},{"id":"https://openalex.org/G848032724","display_name":null,"funder_award_id":"Science","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W2766744273.pdf"},"referenced_works_count":32,"referenced_works":["https://openalex.org/W1582484623","https://openalex.org/W1662906987","https://openalex.org/W1971361630","https://openalex.org/W1993359877","https://openalex.org/W2020913456","https://openalex.org/W2025108828","https://openalex.org/W2032431003","https://openalex.org/W2055060019","https://openalex.org/W2059108911","https://openalex.org/W2068593329","https://openalex.org/W2072942107","https://openalex.org/W2089272132","https://openalex.org/W2095547380","https://openalex.org/W2106215079","https://openalex.org/W2125151663","https://openalex.org/W2126824576","https://openalex.org/W2130217481","https://openalex.org/W2130358229","https://openalex.org/W2135643259","https://openalex.org/W2136571043","https://openalex.org/W2139416652","https://openalex.org/W2323514020","https://openalex.org/W2569444610","https://openalex.org/W2571060464","https://openalex.org/W2596445528","https://openalex.org/W2604850172","https://openalex.org/W2607418994","https://openalex.org/W2951900449","https://openalex.org/W3103519306","https://openalex.org/W3114417543","https://openalex.org/W3149161352","https://openalex.org/W6679027031"],"related_works":["https://openalex.org/W2949441460","https://openalex.org/W3102272702","https://openalex.org/W2794113289","https://openalex.org/W3014984724","https://openalex.org/W2282727044","https://openalex.org/W3003254473","https://openalex.org/W3013968386","https://openalex.org/W2916106022","https://openalex.org/W3096602745","https://openalex.org/W2899380702","https://openalex.org/W2783511142","https://openalex.org/W2964072480","https://openalex.org/W2971201662","https://openalex.org/W3098779275","https://openalex.org/W994668359","https://openalex.org/W2497907440","https://openalex.org/W2171829109","https://openalex.org/W3117590150","https://openalex.org/W2908977474","https://openalex.org/W1828829691"],"abstract_inverted_index":{"The":[0,88],"list-decodability":[1],"of":[2,12,33,53,93,116],"random":[3,13,81],"linear":[4],"rank-metric":[5,14,23,82,111],"codes":[6,83],"is":[7,36,67,119],"shown":[8,37],"to":[9,38,45,85,109],"match":[10],"that":[11],"codes.":[15],"Specifically,":[16],"an":[17],"F":[18,26],"<sub":[19,27,58,64],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[20,28,31,59,65],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">q</sub>":[21,29],"-linear":[22],"code":[24],"over":[25],"<sup":[30],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">m\u00d7n</sup>":[32],"rate":[34],"R=(1-\u03c1)(1-[n/m]\u03c1)-\u03b5":[35],"be":[39],"(with":[40],"high":[41],"probability)":[42],"list-decodable":[43],"up":[44],"fractional":[46],"radius":[47],"\u03c1":[48,73],"\u2208":[49],"(0,1)":[50],"with":[51],"lists":[52],"size":[54],"at":[55,121],"most":[56],"[(C":[57],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">p,q</sub>":[60],")/(\u03b5)],":[61],"where":[62],"C":[63],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">\u03c1,q</sub>":[66],"a":[68,101],"constant":[69,86],"depending":[70],"only":[71],"on":[72],"and":[74],"q.":[75],"This":[76],"matches":[77],"the":[78,91,105,110],"bound":[79],"for":[80,104],"(up":[84],"factors).":[87],"proof":[89],"adapts":[90],"approach":[92],"Guruswami,":[94],"H\u00e5stad,":[95],"Kopparty":[96],"(STOC":[97],"2010),":[98],"who":[99],"established":[100],"similar":[102],"result":[103],"Hamming":[106],"metric":[107],"case,":[108],"setting.":[112],"A":[113],"full":[114],"version":[115],"this":[117],"paper":[118],"accessible":[120],"https://arxiv.org/abs/1710.11516.":[122]},"counts_by_year":[{"year":2018,"cited_by_count":2}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}
