{"id":"https://openalex.org/W2289665460","doi":"https://doi.org/10.1007/s10623-017-0378-9","title":"Coding for locality in reconstructing permutations","display_name":"Coding for locality in reconstructing permutations","publication_year":2016,"publication_date":"2016-07-01","ids":{"openalex":"https://openalex.org/W2289665460","doi":"https://doi.org/10.1007/s10623-017-0378-9","mag":"2289665460"},"language":"en","primary_location":{"id":"doi:10.1007/s10623-017-0378-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-017-0378-9","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/1601.04504","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048888817","display_name":"Netanel Raviv","orcid":"https://orcid.org/0000-0002-1686-1994"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":true,"raw_author_name":"Netanel Raviv","raw_affiliation_strings":["Department of Computer Science, Technion, 3200003, Haifa, Israel","Department of Computer Science, Technion  Haifa Israel"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion, 3200003, Haifa, Israel","institution_ids":[]},{"raw_affiliation_string":"Department of Computer Science, Technion  Haifa Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5021586372","display_name":"Eitan Yaakobi","orcid":"https://orcid.org/0000-0002-9851-5234"},"institutions":[{"id":"https://openalex.org/I174306211","display_name":"Technion \u2013 Israel Institute of Technology","ror":"https://ror.org/03qryx823","country_code":"IL","type":"education","lineage":["https://openalex.org/I174306211"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Eitan Yaakobi","raw_affiliation_strings":["Department of Computer Science, Technion, 3200003, Haifa, Israel","Department of Computer Science, Technion  Haifa Israel"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technion, 3200003, Haifa, Israel","institution_ids":[]},{"raw_affiliation_string":"Department of Computer Science, Technion  Haifa Israel","institution_ids":["https://openalex.org/I174306211"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5075370174","display_name":"Muriel M\u00e9dard","orcid":"https://orcid.org/0000-0003-4059-407X"},"institutions":[{"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":"Muriel M\u00e9dard","raw_affiliation_strings":["Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA","Research Laboratory of Electronics, Massachusetts Institute of Technology,Cambridge,USA"],"affiliations":[{"raw_affiliation_string":"Research Laboratory of Electronics, Massachusetts Institute of Technology, Cambridge, MA, USA","institution_ids":[]},{"raw_affiliation_string":"Research Laboratory of Electronics, Massachusetts Institute of Technology,Cambridge,USA","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5048888817"],"corresponding_institution_ids":["https://openalex.org/I174306211"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00600604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"86","issue":"2","first_page":"387","last_page":"418"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"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"}},"topics":[{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9997000098228455,"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/T11130","display_name":"Coding theory and cryptography","score":0.9990000128746033,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9951000213623047,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/locality","display_name":"Locality","score":0.8122098445892334},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6896275877952576},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6255697011947632},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6047393083572388},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5210415720939636},{"id":"https://openalex.org/keywords/coding","display_name":"Coding (social sciences)","score":0.4600616991519928},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.44610798358917236},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4452645182609558},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4217129945755005},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40695956349372864}],"concepts":[{"id":"https://openalex.org/C2779808786","wikidata":"https://www.wikidata.org/wiki/Q6664603","display_name":"Locality","level":2,"score":0.8122098445892334},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6896275877952576},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6255697011947632},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6047393083572388},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5210415720939636},{"id":"https://openalex.org/C179518139","wikidata":"https://www.wikidata.org/wiki/Q5140297","display_name":"Coding (social sciences)","level":2,"score":0.4600616991519928},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.44610798358917236},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4452645182609558},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4217129945755005},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40695956349372864},{"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","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}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1007/s10623-017-0378-9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10623-017-0378-9","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"},{"id":"doi:10.1109/isit.2016.7541339","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2016.7541339","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2016 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1601.04504","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.04504","pdf_url":"https://arxiv.org/pdf/1601.04504","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:2289665460","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1601.04504.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":"pmh:oai:dspace.mit.edu:1721.1/113668","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/113668","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv","raw_type":"http://purl.org/eprint/type/ConferencePaper"},{"id":"pmh:oai:dspace.mit.edu:1721.1/114517","is_oa":true,"landing_page_url":"http://hdl.handle.net/1721.1/114517","pdf_url":null,"source":{"id":"https://openalex.org/S4306400425","display_name":"DSpace@MIT (Massachusetts Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I63966007","host_organization_name":"Massachusetts Institute of Technology","host_organization_lineage":["https://openalex.org/I63966007"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Springer US","raw_type":"http://purl.org/eprint/type/JournalArticle"},{"id":"doi:10.48550/arxiv.1601.04504","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1601.04504","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"},{"id":"mag:2922699990","is_oa":false,"landing_page_url":"https://dspace.mit.edu/handle/1721.1/114517","pdf_url":null,"source":{"id":"https://openalex.org/S2764986464","display_name":"Springer US","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Springer US","raw_type":null}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1601.04504","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1601.04504","pdf_url":"https://arxiv.org/pdf/1601.04504","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/G1753304967","display_name":null,"funder_award_id":"624/14","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G2781193747","display_name":null,"funder_award_id":"10/12","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G4407449301","display_name":null,"funder_award_id":"1624/14","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"},{"id":"https://openalex.org/G7315415636","display_name":null,"funder_award_id":"Grant","funder_id":"https://openalex.org/F4320322252","funder_display_name":"Israel Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320322252","display_name":"Israel Science Foundation","ror":"https://ror.org/04sazxf24"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2289665460.pdf","grobid_xml":"https://content.openalex.org/works/W2289665460.grobid-xml"},"referenced_works_count":31,"referenced_works":["https://openalex.org/W1486212612","https://openalex.org/W1499300513","https://openalex.org/W1582713334","https://openalex.org/W1767727172","https://openalex.org/W1984841421","https://openalex.org/W1987699222","https://openalex.org/W1997044393","https://openalex.org/W2010178857","https://openalex.org/W2023488830","https://openalex.org/W2040651417","https://openalex.org/W2049706221","https://openalex.org/W2050500290","https://openalex.org/W2066218472","https://openalex.org/W2068871408","https://openalex.org/W2071002409","https://openalex.org/W2076639947","https://openalex.org/W2093282530","https://openalex.org/W2115370421","https://openalex.org/W2128970384","https://openalex.org/W2152377620","https://openalex.org/W2158398747","https://openalex.org/W2209785619","https://openalex.org/W2297559655","https://openalex.org/W2477858045","https://openalex.org/W2949677291","https://openalex.org/W2963366274","https://openalex.org/W2986959318","https://openalex.org/W4242124034","https://openalex.org/W6629624487","https://openalex.org/W6638125968","https://openalex.org/W6683941882"],"related_works":["https://openalex.org/W2922699990","https://openalex.org/W2040539833","https://openalex.org/W2914770201","https://openalex.org/W2294159173","https://openalex.org/W2888882694","https://openalex.org/W2951186689","https://openalex.org/W2163837436","https://openalex.org/W2296333624","https://openalex.org/W2521141112","https://openalex.org/W1571904702","https://openalex.org/W2925661864","https://openalex.org/W46309646","https://openalex.org/W2066218472","https://openalex.org/W1939849970","https://openalex.org/W2951732826","https://openalex.org/W2059924808","https://openalex.org/W2278556741","https://openalex.org/W1940081486","https://openalex.org/W34396323","https://openalex.org/W1553615363"],"abstract_inverted_index":{"The":[0,39],"problem":[1,27],"of":[2,18,48,56,66,100,103],"storing":[3],"permutations":[4,49,104],"in":[5,10,31,78],"a":[6,19,33,36,63,73,101],"distributed":[7],"manner":[8],"arises":[9],"several":[11,109],"common":[12],"scenarios,":[13],"such":[14],"as":[15],"efficient":[16],"updates":[17],"large,":[20],"encrypted,":[21],"or":[22,35],"compressed":[23],"data":[24],"set.":[25],"This":[26,83],"may":[28,75],"be":[29,60,76],"addressed":[30],"either":[32],"combinatorial":[34,88],"coding":[37],"approach.":[38,89],"former":[40],"approach":[41],"boils":[42],"down":[43],"to":[44,80],"presenting":[45],"large":[46],"sets":[47],"with":[50,105],"locality,":[51,106],"that":[52],"is,":[53],"any":[54],"symbol":[55],"the":[57,70,87,97,114,120],"permutation":[58,74,133],"can":[59],"computed":[61],"from":[62],"small":[64],"set":[65,102],"other":[67],"symbols.":[68],"In":[69,117],"latter":[71],"approach,":[72],"coded":[77],"order":[79],"achieve":[81],"locality.":[82],"paper":[84],"focuses":[85],"on":[86],"We":[90],"provide":[91,108,127],"upper":[92,115,121],"and":[93,107,135],"lower":[94],"bounds":[95],"for":[96],"maximal":[98],"size":[99],"simple":[110],"constructions":[111,129],"which":[112],"attain":[113],"bound.":[116],"cases":[118],"where":[119],"bound":[122],"is":[123],"not":[124],"attained,":[125],"we":[126],"alternative":[128],"using":[130],"Reed-Solomon":[131],"codes,":[132],"polynomials,":[134],"multi-permutations.":[136]},"counts_by_year":[],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}