{"id":"https://openalex.org/W7131667882","doi":"https://doi.org/10.48550/arxiv.2602.22042","title":"Maximal Recoverability: A Nexus of Coding Theory","display_name":"Maximal Recoverability: A Nexus of Coding Theory","publication_year":2026,"publication_date":"2026-02-25","ids":{"openalex":"https://openalex.org/W7131667882","doi":"https://doi.org/10.48550/arxiv.2602.22042"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2602.22042","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.22042","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":false,"raw_source_name":null,"raw_type":"Preprint"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2602.22042","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5028220417","display_name":"Joshua Brakensiek","orcid":"https://orcid.org/0000-0003-4149-7298"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Brakensiek, Joshua","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5126915387","display_name":"Venkatesan Guruswami","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Guruswami, Venkatesan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9358000159263611,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9358000159263611,"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/T11005","display_name":"Radiation Effects in Electronics","score":0.026000000536441803,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.01899999938905239,"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/redundancy","display_name":"Redundancy (engineering)","score":0.5486000180244446},{"id":"https://openalex.org/keywords/skew","display_name":"Skew","score":0.545799970626831},{"id":"https://openalex.org/keywords/coding-theory","display_name":"Coding theory","score":0.5188000202178955},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4259999990463257},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.4052000045776367},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.36419999599456787}],"concepts":[{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.5486000180244446},{"id":"https://openalex.org/C43711488","wikidata":"https://www.wikidata.org/wiki/Q7534783","display_name":"Skew","level":2,"score":0.545799970626831},{"id":"https://openalex.org/C113709454","wikidata":"https://www.wikidata.org/wiki/Q602136","display_name":"Coding theory","level":2,"score":0.5188000202178955},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.47870001196861267},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.4629000127315521},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44839999079704285},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4259999990463257},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.4052000045776367},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.36419999599456787},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36230000853538513},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3515999913215637},{"id":"https://openalex.org/C187691185","wikidata":"https://www.wikidata.org/wiki/Q2020720","display_name":"Grid","level":2,"score":0.3244999945163727},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.31839999556541443},{"id":"https://openalex.org/C52622258","wikidata":"https://www.wikidata.org/wiki/Q131222","display_name":"Information theory","level":2,"score":0.28349998593330383},{"id":"https://openalex.org/C160343418","wikidata":"https://www.wikidata.org/wiki/Q185256","display_name":"Rigidity (electromagnetism)","level":2,"score":0.2782000005245209},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.2768999934196472},{"id":"https://openalex.org/C148609458","wikidata":"https://www.wikidata.org/wiki/Q7021281","display_name":"Nexus (standard)","level":2,"score":0.2700999975204468}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2602.22042","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.22042","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"Preprint"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2602.22042","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2602.22042","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":false,"raw_source_name":null,"raw_type":"Preprint"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"In":[0,52],"the":[1,27,38,58,91,105,126,140,160,174],"modern":[2],"era":[3],"of":[4,11,30,40,60,63,83,87,128,142,164,177],"large-scale":[5],"computing":[6],"systems,":[7],"a":[8],"crucial":[9],"use":[10,127],"error":[12],"correcting":[13],"codes":[14,48,69,79,114,131,146],"is":[15,99],"to":[16,20,44,154,170],"judiciously":[17],"introduce":[18],"redundancy":[19],"ensure":[21],"recoverability":[22,42,93],"from":[23],"failure.":[24],"To":[25],"get":[26],"most":[28],"out":[29],"every":[31],"byte,":[32],"practitioners":[33],"and":[34,77,115,121],"theorists":[35],"have":[36,167],"introduced":[37],"framework":[39],"maximal":[41],"(MR)":[43],"study":[45,59],"optimal":[46,102,156],"error-correcting":[47],"in":[49,118],"various":[50],"architectures.":[51],"this":[53],"survey,":[54],"we":[55,89,107],"dive":[56],"into":[57],"two":[61,85],"families":[62,86],"MR":[64,66,113,124,138,149,165],"codes:":[65],"locally":[67],"recoverable":[68,162],"(LRCs)":[70],"(also":[71],"known":[72,100],"as":[73,95,97],"partial":[74],"MDS":[75,145],"codes)":[76],"grid":[78],"(GCs).":[80],"For":[81,123,137],"each":[82],"these":[84],"codes,":[88],"discuss":[90,108],"primary":[92],"guarantees":[94],"well":[96],"what":[98],"concerning":[101],"constructions.":[103,136],"Along":[104],"way,":[106],"many":[109,134],"surprising":[110],"connections":[111],"between":[112],"broader":[116],"questions":[117],"computer":[119],"science":[120],"mathematics.":[122],"LRCs,":[125],"skew":[129],"polynomial":[130],"has":[132],"unified":[133],"previous":[135],"GCs,":[139],"theory":[141],"higher":[143],"order":[144],"shows":[147],"that":[148],"GCs":[150,166],"can":[151],"be":[152],"used":[153],"construct":[155],"list-decodable":[157],"codes.":[158],"Furthermore,":[159],"optimally":[161],"patterns":[163],"close":[168],"ties":[169],"long-standing":[171],"problems":[172],"on":[173],"structural":[175],"rigidity":[176],"graphs.":[178]},"counts_by_year":[],"updated_date":"2026-07-28T07:46:37.118299","created_date":"2026-02-27T00:00:00"}
