{"id":"https://openalex.org/W2626296565","doi":"https://doi.org/10.1137/17m116149x","title":"Local List Recovery of High-Rate Tensor Codes and Applications","display_name":"Local List Recovery of High-Rate Tensor Codes and Applications","publication_year":2019,"publication_date":"2019-10-22","ids":{"openalex":"https://openalex.org/W2626296565","doi":"https://doi.org/10.1137/17m116149x","mag":"2626296565"},"language":"en","primary_location":{"id":"doi:10.1137/17m116149x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m116149x","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/1706.03383","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5044782086","display_name":"Brett Hemenway","orcid":"https://orcid.org/0000-0002-4344-7406"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Brett Hemenway","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053736571","display_name":"Noga Ron\u2010Zewi","orcid":"https://orcid.org/0000-0002-8416-893X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Noga Ron-Zewi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5022963784","display_name":"Mary Wootters","orcid":"https://orcid.org/0000-0002-2345-2531"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mary Wootters","raw_affiliation_strings":[],"raw_orcid":"https://orcid.org/0000-0002-2345-2531","affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.3719,"has_fulltext":true,"cited_by_count":6,"citation_normalized_percentile":{"value":0.62303989,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"49","issue":"4","first_page":"FOCS17","last_page":"157"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9984999895095825,"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"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.998199999332428,"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"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.995199978351593,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.7453116178512573},{"id":"https://openalex.org/keywords/alphabet","display_name":"Alphabet","score":0.6174646615982056},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.6049264669418335},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.5260931253433228},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5118650794029236},{"id":"https://openalex.org/keywords/raptor-code","display_name":"Raptor code","score":0.5064221620559692},{"id":"https://openalex.org/keywords/list-decoding","display_name":"List decoding","score":0.4757632613182068},{"id":"https://openalex.org/keywords/reed\u2013muller-code","display_name":"Reed\u2013Muller code","score":0.4506604075431824},{"id":"https://openalex.org/keywords/expander-code","display_name":"Expander code","score":0.4143340587615967},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.41142722964286804},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.36935198307037354},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3659462630748749},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3502071499824524},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.22749146819114685}],"concepts":[{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.7453116178512573},{"id":"https://openalex.org/C112876837","wikidata":"https://www.wikidata.org/wiki/Q837518","display_name":"Alphabet","level":2,"score":0.6174646615982056},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.6049264669418335},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.5260931253433228},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5118650794029236},{"id":"https://openalex.org/C101252705","wikidata":"https://www.wikidata.org/wiki/Q7294373","display_name":"Raptor code","level":5,"score":0.5064221620559692},{"id":"https://openalex.org/C204397858","wikidata":"https://www.wikidata.org/wiki/Q4437907","display_name":"List decoding","level":5,"score":0.4757632613182068},{"id":"https://openalex.org/C169021753","wikidata":"https://www.wikidata.org/wiki/Q201972","display_name":"Reed\u2013Muller code","level":5,"score":0.4506604075431824},{"id":"https://openalex.org/C108509264","wikidata":"https://www.wikidata.org/wiki/Q5420758","display_name":"Expander code","level":5,"score":0.4143340587615967},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.41142722964286804},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.36935198307037354},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3659462630748749},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3502071499824524},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.22749146819114685},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1137/17m116149x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m116149x","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1706.03383","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1706.03383","pdf_url":"https://arxiv.org/pdf/1706.03383","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:2626296565","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1706.03383.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":"doi:10.48550/arxiv.1706.03383","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1706.03383","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:1706.03383","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1706.03383","pdf_url":"https://arxiv.org/pdf/1706.03383","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":[{"id":"https://openalex.org/G1143464154","display_name":null,"funder_award_id":"CNS-1513671","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1429924680","display_name":null,"funder_award_id":"CCF-1657049","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1518216598","display_name":null,"funder_award_id":"CCF-1814629","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4831410161","display_name":null,"funder_award_id":"2017732","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"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2626296565.pdf","grobid_xml":"https://content.openalex.org/works/W2626296565.grobid-xml"},"referenced_works_count":40,"referenced_works":["https://openalex.org/W1556285486","https://openalex.org/W1797635110","https://openalex.org/W1880538223","https://openalex.org/W1901622511","https://openalex.org/W1966671033","https://openalex.org/W1967175855","https://openalex.org/W1973966084","https://openalex.org/W1976052006","https://openalex.org/W1983029360","https://openalex.org/W2013452229","https://openalex.org/W2014944833","https://openalex.org/W2015848652","https://openalex.org/W2024581747","https://openalex.org/W2030221686","https://openalex.org/W2032431003","https://openalex.org/W2057157452","https://openalex.org/W2065853216","https://openalex.org/W2071364701","https://openalex.org/W2072264369","https://openalex.org/W2090418561","https://openalex.org/W2095546965","https://openalex.org/W2097645564","https://openalex.org/W2098324348","https://openalex.org/W2106215079","https://openalex.org/W2125293366","https://openalex.org/W2146078064","https://openalex.org/W2293852858","https://openalex.org/W2568587977","https://openalex.org/W2611428058","https://openalex.org/W2611959999","https://openalex.org/W2617207196","https://openalex.org/W2790601937","https://openalex.org/W2791258961","https://openalex.org/W2791574816","https://openalex.org/W2795962163","https://openalex.org/W2951988467","https://openalex.org/W2964217790","https://openalex.org/W2998808137","https://openalex.org/W3101254711","https://openalex.org/W4229760579"],"related_works":["https://openalex.org/W2963018962","https://openalex.org/W2963787959","https://openalex.org/W1570983878","https://openalex.org/W189862066","https://openalex.org/W2963148175","https://openalex.org/W2012171341","https://openalex.org/W76785965","https://openalex.org/W2181708902","https://openalex.org/W1512622394","https://openalex.org/W338374402","https://openalex.org/W1957362188","https://openalex.org/W1573296009","https://openalex.org/W1580365030","https://openalex.org/W2097499124","https://openalex.org/W1994091697","https://openalex.org/W2989820098","https://openalex.org/W57000119","https://openalex.org/W2120217745","https://openalex.org/W1621893075","https://openalex.org/W2963120590"],"abstract_inverted_index":{"In":[0,37],"this":[1,153],"work,":[2],"we":[3],"give":[4],"the":[5,42,51,78,136,144,168],"first":[6,43,52],"construction":[7,40,73],"of":[8,74,107,126,157],"high-rate":[9,158,163],"locally":[10,45,132,149,164],"list-recoverable":[11,128,160],"codes.":[12,120],"List-recovery":[13],"has":[14],"been":[15],"an":[16,105],"extremely":[17],"useful":[18],"building":[19,35],"block":[20],"in":[21,86],"coding":[22],"theory,":[23],"and":[24,70,101,110,134,162],"our":[25,39],"motivation":[26],"is":[27],"to":[28],"use":[29],"these":[30],"codes":[31,47,57,76,129,161,166],"as":[32],"such":[33],"a":[34,71,147],"block.":[36],"particular,":[38],"gives":[41],"capacity-achieving":[44],"list-decodable":[46,56],"(over":[48],"constant-sized":[49,68],"alphabet);":[50,69],"capacity":[53],"achieving":[54],"globally":[55,159],"with":[58,88,146,154],"nearly":[59],"linear":[60],"time":[61],"list":[62],"decoding":[63],"algorithm":[64],"(once":[65],"more,":[66],"over":[67],"randomized":[72],"binary":[75],"on":[77,114],"Gilbert-Varshamov":[79],"bound":[80],"that":[81,123,135],"can":[82],"be":[83,140],"uniquely":[84],"decoded":[85],"near-linear-time,":[87],"higher":[89],"rate":[90],"than":[91],"was":[92],"previously":[93],"known.":[94],"Our":[95],"techniques":[96],"are":[97,102,130],"actually":[98],"quite":[99],"simple,":[100],"inspired":[103],"by":[104,142],"approach":[106],"Gopalan,":[108],"Guruswami,":[109],"Raghavendra":[111],"(Siam":[112],"Journal":[113],"Computing,":[115],"2011)":[116],"for":[117],"list-decoding":[118],"tensor":[119,124],"We":[121],"show":[122],"powers":[125],"(globally)":[127],"\"approximately\"":[131,137],"list-recoverable,":[133],"modifier":[138],"may":[139],"removed":[141],"pre-encoding":[143],"message":[145],"suitable":[148],"decodable":[150,165],"code.":[151],"Instantiating":[152],"known":[155],"constructions":[156],"finishes":[167],"construction.":[169]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}