{"id":"https://openalex.org/W2166552352","doi":"https://doi.org/10.1109/allerton.2011.6120328","title":"Repair optimal erasure codes through hadamard designs","display_name":"Repair optimal erasure codes through hadamard designs","publication_year":2011,"publication_date":"2011-09-01","ids":{"openalex":"https://openalex.org/W2166552352","doi":"https://doi.org/10.1109/allerton.2011.6120328","mag":"2166552352"},"language":"en","primary_location":{"id":"doi:10.1109/allerton.2011.6120328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2011.6120328","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},"type":"conference-paper","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1106.1634","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5018630988","display_name":"Dimitris Papailiopoulos","orcid":null},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dimitris S. Papailiopoulos","raw_affiliation_strings":["Electrical Engineering, University of Southern California, Los Angeles, CA, USA","Electrical Engineering, University of Southern California,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Electrical Engineering, University of Southern California,","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014141359","display_name":"Alexandros G. Dimakis","orcid":"https://orcid.org/0000-0002-4244-7033"},"institutions":[{"id":"https://openalex.org/I1174212","display_name":"University of Southern California","ror":"https://ror.org/03taz7m60","country_code":"US","type":"education","lineage":["https://openalex.org/I1174212"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexandros G. Dimakis","raw_affiliation_strings":["Electrical Engineering, University of Southern California, Los Angeles, CA, USA","Electrical Engineering, University of Southern California,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering, University of Southern California, Los Angeles, CA, USA","institution_ids":["https://openalex.org/I1174212"]},{"raw_affiliation_string":"Electrical Engineering, University of Southern California,","institution_ids":["https://openalex.org/I1174212"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008627075","display_name":"Viveck R. Cadambe","orcid":"https://orcid.org/0000-0001-6786-8785"},"institutions":[{"id":"https://openalex.org/I204250578","display_name":"University of California, Irvine","ror":"https://ror.org/04gyf1771","country_code":"US","type":"education","lineage":["https://openalex.org/I204250578"]},{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Viveck R. Cadambe","raw_affiliation_strings":["Electrical Engineering and Computer Science, University of California Irvine, Irvine, CA, USA","Research Laboratory of Electronics Massachusetts Institute of Technology"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Electrical Engineering and Computer Science, University of California Irvine, Irvine, CA, USA","institution_ids":["https://openalex.org/I204250578"]},{"raw_affiliation_string":"Research Laboratory of Electronics Massachusetts Institute of Technology","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1382","last_page":"1389"},"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9990000128746033,"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/T11478","display_name":"Caching and Content Delivery","score":0.9988999962806702,"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-code","display_name":"Erasure code","score":0.775473952293396},{"id":"https://openalex.org/keywords/erasure","display_name":"Erasure","score":0.6068896055221558},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5926295518875122},{"id":"https://openalex.org/keywords/distributed-data-store","display_name":"Distributed data store","score":0.5525604486465454},{"id":"https://openalex.org/keywords/tornado-code","display_name":"Tornado code","score":0.4880918264389038},{"id":"https://openalex.org/keywords/hadamard-transform","display_name":"Hadamard transform","score":0.45859494805336},{"id":"https://openalex.org/keywords/online-codes","display_name":"Online codes","score":0.4569459855556488},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3606652021408081},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35811933875083923},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3555709719657898},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3184199631214142},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.30443429946899414},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.2705681324005127},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.25986891984939575},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.2529247999191284}],"concepts":[{"id":"https://openalex.org/C137529215","wikidata":"https://www.wikidata.org/wiki/Q5385031","display_name":"Erasure code","level":3,"score":0.775473952293396},{"id":"https://openalex.org/C2778790127","wikidata":"https://www.wikidata.org/wiki/Q484885","display_name":"Erasure","level":2,"score":0.6068896055221558},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5926295518875122},{"id":"https://openalex.org/C24885549","wikidata":"https://www.wikidata.org/wiki/Q339678","display_name":"Distributed data store","level":2,"score":0.5525604486465454},{"id":"https://openalex.org/C65058987","wikidata":"https://www.wikidata.org/wiki/Q7826005","display_name":"Tornado code","level":5,"score":0.4880918264389038},{"id":"https://openalex.org/C60292330","wikidata":"https://www.wikidata.org/wiki/Q1014065","display_name":"Hadamard transform","level":2,"score":0.45859494805336},{"id":"https://openalex.org/C103093684","wikidata":"https://www.wikidata.org/wiki/Q7094069","display_name":"Online codes","level":5,"score":0.4569459855556488},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3606652021408081},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35811933875083923},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3555709719657898},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3184199631214142},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.30443429946899414},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.2705681324005127},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.25986891984939575},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.2529247999191284},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/allerton.2011.6120328","is_oa":false,"landing_page_url":"https://doi.org/10.1109/allerton.2011.6120328","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2011 49th Annual Allerton Conference on Communication, Control, and Computing (Allerton)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1106.1634","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1106.1634","pdf_url":"https://arxiv.org/pdf/1106.1634","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:2166552352","is_oa":true,"landing_page_url":"http://export.arxiv.org/pdf/1106.1634","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":"pmh:oai:CiteSeerX.psu:10.1.1.754.9486","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.754.9486","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1106.1634.pdf","raw_type":"text"},{"id":"doi:10.48550/arxiv.1106.1634","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1106.1634","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":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1106.1634","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1106.1634","pdf_url":"https://arxiv.org/pdf/1106.1634","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":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2166552352.pdf"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1516255397","https://openalex.org/W1551604090","https://openalex.org/W1674001282","https://openalex.org/W1979408141","https://openalex.org/W1984324195","https://openalex.org/W2048235391","https://openalex.org/W2050413942","https://openalex.org/W2056826630","https://openalex.org/W2058863419","https://openalex.org/W2100364607","https://openalex.org/W2101863867","https://openalex.org/W2102047288","https://openalex.org/W2105185344","https://openalex.org/W2114708944","https://openalex.org/W2146987030","https://openalex.org/W2147343704","https://openalex.org/W2150777202","https://openalex.org/W2159159660","https://openalex.org/W2166253834","https://openalex.org/W2949134401","https://openalex.org/W2950813095","https://openalex.org/W2951278247","https://openalex.org/W2951303562","https://openalex.org/W2952291707","https://openalex.org/W2963178700","https://openalex.org/W3106482607","https://openalex.org/W4239670432","https://openalex.org/W6607934843","https://openalex.org/W6632981210","https://openalex.org/W6634127868","https://openalex.org/W6637399679","https://openalex.org/W6680058062","https://openalex.org/W6680954208"],"related_works":["https://openalex.org/W2105185344","https://openalex.org/W3106482607","https://openalex.org/W2949134401","https://openalex.org/W1529946666","https://openalex.org/W2963178700","https://openalex.org/W2950891324","https://openalex.org/W2161104579","https://openalex.org/W2153923251","https://openalex.org/W2143174824","https://openalex.org/W2126295689","https://openalex.org/W2102047288","https://openalex.org/W2056826630","https://openalex.org/W2050413942","https://openalex.org/W1516255397","https://openalex.org/W1977073502","https://openalex.org/W2963297206","https://openalex.org/W2949519087","https://openalex.org/W2139703052","https://openalex.org/W2058863419","https://openalex.org/W1622719107"],"abstract_inverted_index":{"In":[0,65],"distributed":[1],"storage":[2,20,35,79],"systems":[3],"that":[4,53],"employ":[5],"erasure":[6],"coding,":[7],"the":[8,12,31,34,38,44,55,74,91],"issue":[9],"of":[10,33,101,116],"minimizing":[11],"total":[13],"communication":[14,58],"required":[15],"to":[16,42,72],"exactly":[17],"rebuild":[18],"a":[19,23,61,98,110],"node":[21,88],"after":[22],"failure":[24],"arises.":[25],"This":[26],"repair":[27,39,57,83],"bandwidth":[28],"depends":[29],"on":[30,97],"structure":[32],"code":[36,80],"and":[37],"strategies":[40],"used":[41],"restore":[43],"lost":[45],"data.":[46],"Designing":[47],"high-rate":[48],"maximum-distance":[49],"separable":[50],"(MDS)":[51],"codes":[52],"achieve":[54],"optimum":[56],"has":[59],"been":[60],"well-known":[62],"open":[63],"problem.":[64],"this":[66],"work,":[67],"we":[68],"use":[69],"Hadamard":[70],"matrices":[71],"construct":[73],"first":[75],"explicit":[76],"2-parity":[77],"MDS":[78],"with":[81,109],"optimal":[82],"properties":[84],"for":[85],"all":[86],"single":[87],"failures,":[89],"including":[90],"parity":[92],"nodes.":[93],"Our":[94],"construction":[95],"relies":[96],"novel":[99],"method":[100],"achieving":[102],"perfect":[103],"interference":[104],"alignment":[105],"over":[106],"finite":[107,111],"fields":[108],"file":[112],"size,":[113],"or":[114],"number":[115],"symbol":[117],"extensions.":[118]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-14T23:27:15.235271","created_date":"2025-10-10T00:00:00"}
