{"id":"https://openalex.org/W4385210693","doi":"https://doi.org/10.1109/tit.2023.3298401","title":"Optimal Locally Recoverable Codes With Hierarchy From Nested <i>F</i>-Adic Expansions","display_name":"Optimal Locally Recoverable Codes With Hierarchy From Nested <i>F</i>-Adic Expansions","publication_year":2023,"publication_date":"2023-07-24","ids":{"openalex":"https://openalex.org/W4385210693","doi":"https://doi.org/10.1109/tit.2023.3298401"},"language":"en","primary_location":{"id":"doi:10.1109/tit.2023.3298401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2023.3298401","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/A5058600310","display_name":"Austin Dukes","orcid":null},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Austin Dukes","raw_affiliation_strings":["Department of Mathematics, University of South Florida, Tampa, FL, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Florida, Tampa, FL, USA","institution_ids":["https://openalex.org/I2613432"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5050777736","display_name":"Giacomo Micheli","orcid":"https://orcid.org/0000-0002-5265-5207"},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Giacomo Micheli","raw_affiliation_strings":["Department of Mathematics and the Center for Cryptographic Research, University of South Florida, Tampa, FL, USA"],"raw_orcid":"https://orcid.org/0000-0002-5265-5207","affiliations":[{"raw_affiliation_string":"Department of Mathematics and the Center for Cryptographic Research, University of South Florida, Tampa, FL, USA","institution_ids":["https://openalex.org/I2613432"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5010029041","display_name":"Vincenzo Pallozzi Lavorante","orcid":"https://orcid.org/0000-0002-8725-5473"},"institutions":[{"id":"https://openalex.org/I2613432","display_name":"University of South Florida","ror":"https://ror.org/032db5x82","country_code":"US","type":"education","lineage":["https://openalex.org/I2613432"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vincenzo Pallozzi Lavorante","raw_affiliation_strings":["Department of Mathematics, University of South Florida, Tampa, FL, USA"],"raw_orcid":"https://orcid.org/0000-0002-8725-5473","affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of South Florida, Tampa, FL, USA","institution_ids":["https://openalex.org/I2613432"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I2613432"],"apc_list":null,"apc_paid":null,"fwci":0.5264,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.6521548,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"69","issue":"11","first_page":"6981","last_page":"6988"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9998999834060669,"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":0.9998999834060669,"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":0.994700014591217,"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/T10237","display_name":"Cryptography and Data Security","score":0.9836999773979187,"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/hierarchy","display_name":"Hierarchy","score":0.6841273903846741},{"id":"https://openalex.org/keywords/notation","display_name":"Notation","score":0.6616336107254028},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6357360482215881},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.619644820690155},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.588874101638794},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5690034031867981},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5498358011245728},{"id":"https://openalex.org/keywords/base","display_name":"Base (topology)","score":0.5028392672538757},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49021321535110474},{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.45382368564605713},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.44371694326400757},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37251031398773193},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28629472851753235},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.15514543652534485},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.10604315996170044},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.09937569499015808}],"concepts":[{"id":"https://openalex.org/C31170391","wikidata":"https://www.wikidata.org/wiki/Q188619","display_name":"Hierarchy","level":2,"score":0.6841273903846741},{"id":"https://openalex.org/C45357846","wikidata":"https://www.wikidata.org/wiki/Q2001982","display_name":"Notation","level":2,"score":0.6616336107254028},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6357360482215881},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.619644820690155},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.588874101638794},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5690034031867981},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5498358011245728},{"id":"https://openalex.org/C42058472","wikidata":"https://www.wikidata.org/wiki/Q810214","display_name":"Base (topology)","level":2,"score":0.5028392672538757},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49021321535110474},{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.45382368564605713},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.44371694326400757},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37251031398773193},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28629472851753235},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.15514543652534485},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.10604315996170044},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.09937569499015808},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34447519","wikidata":"https://www.wikidata.org/wiki/Q179522","display_name":"Market economy","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},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tit.2023.3298401","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tit.2023.3298401","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":[{"id":"https://openalex.org/G631101471","display_name":"SaTC: CORE: Small: Applications of Galois Theory to the Search for Non-Linear Functions","funder_award_id":"2127742","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1557415002","https://openalex.org/W1715633553","https://openalex.org/W1778950143","https://openalex.org/W1866030559","https://openalex.org/W1997044393","https://openalex.org/W2021662392","https://openalex.org/W2060646539","https://openalex.org/W2069554151","https://openalex.org/W2339524574","https://openalex.org/W2582551733","https://openalex.org/W2623918255","https://openalex.org/W2963059679","https://openalex.org/W2971565883","https://openalex.org/W3010151182","https://openalex.org/W3027316775","https://openalex.org/W3100004208","https://openalex.org/W3105083253","https://openalex.org/W6711901080"],"related_works":["https://openalex.org/W2366107444","https://openalex.org/W4388145910","https://openalex.org/W2381570729","https://openalex.org/W1976205134","https://openalex.org/W4248336175","https://openalex.org/W2031260042","https://openalex.org/W2391445434","https://openalex.org/W2504004674","https://openalex.org/W3009369890","https://openalex.org/W4312490297"],"abstract_inverted_index":{"In":[0,85],"this":[1],"paper":[2],"we":[3,87,124],"construct":[4],"new":[5],"optimal":[6],"hierarchical":[7],"locally":[8],"recoverable":[9],"codes.":[10],"Our":[11],"construction":[12],"is":[13],"based":[14],"on":[15,63],"a":[16,41,93],"combination":[17],"of":[18,21,44,48,55,67,78,96,108,121],"the":[19,45,49,56,64,76,79,83,100,109,114,119,122],"ideas":[20],"Ballentine":[22],"et":[23,28],"al.,":[24,29],"(2019)":[25],"and":[26,59,112],"Sasidharan":[27],"(2015)":[30],"with":[31,75,92],"an":[32],"algebraic":[33],"number":[34],"theoretical":[35],"approach":[36],"that":[37],"allows":[38],"to":[39,60,89],"give":[40],"finer":[42],"tuning":[43],"minimum":[46],"distance":[47],"intermediate":[50],"code":[51],"(allowing":[52],"larger":[53],"dimension":[54],"final":[57],"code),":[58],"remove":[61],"restrictions":[62],"arithmetic":[65],"properties":[66],"<inline-formula":[68,102],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[69,103],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">":[70,104],"<tex-math":[71,105],"notation=\"LaTeX\">$q$":[72,106],"</tex-math></inline-formula>":[73,107],"compared":[74],"size":[77,101],"locality":[80],"sets":[81],"in":[82],"hierarchy.":[84],"turn,":[86],"manage":[88],"obtain":[90],"codes":[91,123],"wider":[94],"set":[95],"parameters":[97],"both":[98],"for":[99,113],"base":[110],"field,":[111],"hierarchy":[115],"size,":[116],"while":[117],"keeping":[118],"optimality":[120],"construct.":[125]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}