{"id":"https://openalex.org/W4401692963","doi":"https://doi.org/10.1109/isit57864.2024.10619130","title":"Private Repair of a Single Erasure in Reed-Solomon Codes","display_name":"Private Repair of a Single Erasure in Reed-Solomon Codes","publication_year":2024,"publication_date":"2024-07-07","ids":{"openalex":"https://openalex.org/W4401692963","doi":"https://doi.org/10.1109/isit57864.2024.10619130"},"language":"en","primary_location":{"id":"doi:10.1109/isit57864.2024.10619130","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/isit57864.2024.10619130","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},"type":"conference-paper","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/A5081266167","display_name":"Stanislav Kruglik","orcid":"https://orcid.org/0000-0001-9557-5197"},"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":"Stanislav Kruglik","raw_affiliation_strings":["Nanyang Technological University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5083157397","display_name":"Han Mao Kiah","orcid":"https://orcid.org/0000-0001-5611-0848"},"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":"Han Mao Kiah","raw_affiliation_strings":["Nanyang Technological University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031318960","display_name":"Son Hoang Dau","orcid":"https://orcid.org/0000-0002-2276-017X"},"institutions":[{"id":"https://openalex.org/I4210095297","display_name":"MIT University","ror":"https://ror.org/00v140q16","country_code":"MK","type":"education","lineage":["https://openalex.org/I4210095297"]},{"id":"https://openalex.org/I82951845","display_name":"RMIT University","ror":"https://ror.org/04ttjf776","country_code":"AU","type":"education","lineage":["https://openalex.org/I82951845"]}],"countries":["AU","MK"],"is_corresponding":false,"raw_author_name":"Son Hoang Dau","raw_affiliation_strings":["RMIT University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"RMIT University","institution_ids":["https://openalex.org/I4210095297","https://openalex.org/I82951845"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5021586372","display_name":"Eitan Yaakobi","orcid":"https://orcid.org/0000-0002-9851-5234"},"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":"Eitan Yaakobi","raw_affiliation_strings":["Nanyang Technological University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Nanyang Technological University","institution_ids":["https://openalex.org/I172675005"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"2640","last_page":"2645"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9954000115394592,"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/T10237","display_name":"Cryptography and Data Security","score":0.9954000115394592,"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/T11130","display_name":"Coding theory and cryptography","score":0.9814000129699707,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9596999883651733,"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/erasure","display_name":"Erasure","score":0.7388490438461304},{"id":"https://openalex.org/keywords/reed\u2013solomon-error-correction","display_name":"Reed\u2013Solomon error correction","score":0.7185567617416382},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6047901511192322},{"id":"https://openalex.org/keywords/erasure-code","display_name":"Erasure code","score":0.5675811171531677},{"id":"https://openalex.org/keywords/tornado-code","display_name":"Tornado code","score":0.4760463237762451},{"id":"https://openalex.org/keywords/online-codes","display_name":"Online codes","score":0.44656848907470703},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.4077273905277252},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.3280928432941437},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.3235873579978943},{"id":"https://openalex.org/keywords/concatenated-error-correction-code","display_name":"Concatenated error correction code","score":0.2528122067451477},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.23521578311920166},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.201521635055542},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.1557001769542694}],"concepts":[{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.7388490438461304},{"id":"https://openalex.org/C78065487","wikidata":"https://www.wikidata.org/wiki/Q1061598","display_name":"Reed\u2013Solomon error correction","level":5,"score":0.7185567617416382},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6047901511192322},{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.5675811171531677},{"id":"https://openalex.org/C65058987","wikidata":"https://www.wikidata.org/wiki/Q7826005","display_name":"Tornado code","level":5,"score":0.4760463237762451},{"id":"https://openalex.org/C103093684","wikidata":"https://www.wikidata.org/wiki/Q7094069","display_name":"Online codes","level":5,"score":0.44656848907470703},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.4077273905277252},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.3280928432941437},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.3235873579978943},{"id":"https://openalex.org/C78944582","wikidata":"https://www.wikidata.org/wiki/Q5158264","display_name":"Concatenated error correction code","level":4,"score":0.2528122067451477},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.23521578311920166},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.201521635055542},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.1557001769542694}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit57864.2024.10619130","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1109/isit57864.2024.10619130","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2024 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","score":0.4099999964237213,"display_name":"Sustainable cities and communities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":36,"referenced_works":["https://openalex.org/W1606480398","https://openalex.org/W2105695025","https://openalex.org/W2148575324","https://openalex.org/W2507181206","https://openalex.org/W2577154367","https://openalex.org/W2583076087","https://openalex.org/W2613593521","https://openalex.org/W2751841999","https://openalex.org/W2809388578","https://openalex.org/W2902882503","https://openalex.org/W2909960912","https://openalex.org/W2950353718","https://openalex.org/W2962858508","https://openalex.org/W2963000079","https://openalex.org/W2963072024","https://openalex.org/W2963249592","https://openalex.org/W2963413537","https://openalex.org/W2963559025","https://openalex.org/W2963677325","https://openalex.org/W2963754880","https://openalex.org/W2975646242","https://openalex.org/W2984131747","https://openalex.org/W2991649695","https://openalex.org/W3105025471","https://openalex.org/W3105184929","https://openalex.org/W3154319832","https://openalex.org/W3155022315","https://openalex.org/W3198305016","https://openalex.org/W3207208222","https://openalex.org/W4226317702","https://openalex.org/W4289713244","https://openalex.org/W4386075142","https://openalex.org/W4386075257","https://openalex.org/W4390224688","https://openalex.org/W4391877662","https://openalex.org/W4401693218"],"related_works":["https://openalex.org/W1694938350","https://openalex.org/W2127908002","https://openalex.org/W2744779861","https://openalex.org/W2982181605","https://openalex.org/W2031335939","https://openalex.org/W1533424905","https://openalex.org/W1989156844","https://openalex.org/W2004376844","https://openalex.org/W2148058880","https://openalex.org/W2149270041"],"abstract_inverted_index":{"We":[0,87],"investigate":[1],"the":[2,77,89,92,104],"problem":[3],"of":[4,50,61,79,91],"privately":[5],"recovering":[6],"a":[7,30,35,58,100,117],"single":[8],"erasure":[9],"for":[10,121],"Reed-Solomon":[11,125],"codes":[12],"with":[13,23],"low":[14],"communication":[15],"bandwidths.":[16],"For":[17],"an":[18,39],"<tex":[19,24,51,62,67,71,96],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[20,25,52,63,68,72,97],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$[n,k]_{\\mathbb{F}_{q^{\\ell}}}$</tex>":[21],"code":[22],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$n-k\\geq":[26],"q^{m}+t-1$</tex>,":[27],"we":[28],"construct":[29],"repair":[31,59,81,110],"scheme":[32,94,111,120],"that":[33],"allows":[34],"client":[36],"to":[37,47,76],"recover":[38],"arbitrary":[40],"codeword":[41],"symbol":[42],"without":[43],"leaking":[44],"its":[45],"index":[46],"any":[48],"set":[49],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$t$</tex>":[53],"colluding":[54],"helper":[55],"nodes":[56],"at":[57],"bandwidth":[60,78],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$(n-1)(\\ell-m)$</tex>":[64],"sub-symbols":[65],"in":[66],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$\\mathbb{F}_{q}$</tex>.":[69],"When":[70],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$t=1$</tex>,":[73],"this":[74],"reduces":[75],"existing":[80],"schemes":[82,105],"based":[83],"on":[84],"subspace":[85],"polynomials.":[86],"prove":[88],"optimality":[90],"proposed":[93],"when":[95],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">$n=q^{\\ell}$</tex>":[98],"under":[99],"reasonable":[101],"assumption":[102],"about":[103],"being":[106],"used.":[107],"Our":[108],"private":[109,118],"can":[112],"also":[113],"be":[114],"transformed":[115],"into":[116],"retrieval":[119],"data":[122],"encoded":[123],"by":[124],"codes.":[126]},"counts_by_year":[{"year":2025,"cited_by_count":1}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
