{"id":"https://openalex.org/W2806224244","doi":"https://doi.org/10.1109/itw.2018.8613518","title":"Asynchronous Batch and PIR Codes from Hypergraphs","display_name":"Asynchronous Batch and PIR Codes from Hypergraphs","publication_year":2018,"publication_date":"2018-11-01","ids":{"openalex":"https://openalex.org/W2806224244","doi":"https://doi.org/10.1109/itw.2018.8613518","mag":"2806224244"},"language":"en","primary_location":{"id":"doi:10.1109/itw.2018.8613518","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2018.8613518","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/abs/1806.00592","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5003519656","display_name":"Ago-Erik Riet","orcid":"https://orcid.org/0000-0002-8310-6809"},"institutions":[{"id":"https://openalex.org/I56085075","display_name":"University of Tartu","ror":"https://ror.org/03z77qz90","country_code":"EE","type":"education","lineage":["https://openalex.org/I56085075"]}],"countries":["EE"],"is_corresponding":false,"raw_author_name":"Ago-Erik Riet","raw_affiliation_strings":["Institutes of Computer Science; Mathematics and Statistics, University of Tartu, Tartu, J. Liivi 2, Estonia","University of Tartu, Tartu, Estonia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institutes of Computer Science; Mathematics and Statistics, University of Tartu, Tartu, J. Liivi 2, Estonia","institution_ids":["https://openalex.org/I56085075"]},{"raw_affiliation_string":"University of Tartu, Tartu, Estonia","institution_ids":["https://openalex.org/I56085075"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5048122752","display_name":"Vitaly Skachek","orcid":"https://orcid.org/0000-0002-0626-2437"},"institutions":[{"id":"https://openalex.org/I56085075","display_name":"University of Tartu","ror":"https://ror.org/03z77qz90","country_code":"EE","type":"education","lineage":["https://openalex.org/I56085075"]}],"countries":["EE"],"is_corresponding":false,"raw_author_name":"Vitaly Skachek","raw_affiliation_strings":["Institutes of Computer Science; Mathematics and Statistics, University of Tartu, Tartu, J. Liivi 2, Estonia","University of Tartu, Tartu, Estonia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institutes of Computer Science; Mathematics and Statistics, University of Tartu, Tartu, J. Liivi 2, Estonia","institution_ids":["https://openalex.org/I56085075"]},{"raw_affiliation_string":"University of Tartu, Tartu, Estonia","institution_ids":["https://openalex.org/I56085075"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085650987","display_name":"Eldho K. Thomas","orcid":"https://orcid.org/0000-0001-5052-4206"},"institutions":[{"id":"https://openalex.org/I56085075","display_name":"University of Tartu","ror":"https://ror.org/03z77qz90","country_code":"EE","type":"education","lineage":["https://openalex.org/I56085075"]}],"countries":["EE"],"is_corresponding":false,"raw_author_name":"Eldho K. Thomas","raw_affiliation_strings":["Institutes of Computer Science; Mathematics and Statistics, University of Tartu, Tartu, J. Liivi 2, Estonia","University of Tartu, Tartu, Estonia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institutes of Computer Science; Mathematics and Statistics, University of Tartu, Tartu, J. Liivi 2, Estonia","institution_ids":["https://openalex.org/I56085075"]},{"raw_affiliation_string":"University of Tartu, Tartu, Estonia","institution_ids":["https://openalex.org/I56085075"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I56085075"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.06661877,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"10","issue":null,"first_page":"1","last_page":"5"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11181","display_name":"Advanced Data Storage Technologies","score":0.9987000226974487,"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":0.9987000226974487,"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/T11321","display_name":"Error Correcting Code Techniques","score":0.9911999702453613,"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":0.9876999855041504,"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/hypergraph","display_name":"Hypergraph","score":0.8377087116241455},{"id":"https://openalex.org/keywords/asynchronous-communication","display_name":"Asynchronous communication","score":0.7807810306549072},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7001539468765259},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5953466892242432},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5468981266021729},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5064913034439087},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4917903244495392},{"id":"https://openalex.org/keywords/redundancy","display_name":"Redundancy (engineering)","score":0.47804003953933716},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3098505139350891}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.8377087116241455},{"id":"https://openalex.org/C151319957","wikidata":"https://www.wikidata.org/wiki/Q752739","display_name":"Asynchronous communication","level":2,"score":0.7807810306549072},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7001539468765259},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5953466892242432},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5468981266021729},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5064913034439087},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4917903244495392},{"id":"https://openalex.org/C152124472","wikidata":"https://www.wikidata.org/wiki/Q1204361","display_name":"Redundancy (engineering)","level":2,"score":0.47804003953933716},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3098505139350891},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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":2,"locations":[{"id":"doi:10.1109/itw.2018.8613518","is_oa":false,"landing_page_url":"https://doi.org/10.1109/itw.2018.8613518","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 IEEE Information Theory Workshop (ITW)","raw_type":"proceedings-article"},{"id":"mag:2806224244","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1806.00592","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}],"best_oa_location":{"id":"mag:2806224244","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1806.00592","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},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1568934558","https://openalex.org/W1623581787","https://openalex.org/W1941604706","https://openalex.org/W2023600080","https://openalex.org/W2044422580","https://openalex.org/W2046549378","https://openalex.org/W2051745720","https://openalex.org/W2058863419","https://openalex.org/W2088336724","https://openalex.org/W2093276208","https://openalex.org/W2093699365","https://openalex.org/W2142293082","https://openalex.org/W2143456215","https://openalex.org/W2143569998","https://openalex.org/W2155085924","https://openalex.org/W2512319215","https://openalex.org/W2591083178","https://openalex.org/W2963395916","https://openalex.org/W2964050537","https://openalex.org/W6614168288","https://openalex.org/W6634269593","https://openalex.org/W6674806312","https://openalex.org/W6704865071","https://openalex.org/W6730205078","https://openalex.org/W6765898487"],"related_works":["https://openalex.org/W2962734426","https://openalex.org/W3083713959","https://openalex.org/W2908154691","https://openalex.org/W2951396255","https://openalex.org/W2952773118","https://openalex.org/W2735399061","https://openalex.org/W2982304810","https://openalex.org/W2992027010","https://openalex.org/W2281539709","https://openalex.org/W1980074516","https://openalex.org/W2958522517","https://openalex.org/W1497325939","https://openalex.org/W3198492908","https://openalex.org/W3196293640","https://openalex.org/W3009453940","https://openalex.org/W3208584311","https://openalex.org/W3099576038","https://openalex.org/W3100257087","https://openalex.org/W3132750127","https://openalex.org/W2395495808"],"abstract_inverted_index":{"We":[0,75,112],"propose":[1],"a":[2,18,87,90,98,179,202],"new":[3],"model":[4],"of":[5,14,54,84,89,101,127,144,160,165,183,205],"asynchronous":[6,23,66,147,162],"batch":[7,40,67,136,148,163],"codes":[8,41,164],"that":[9,37,52,80,155],"allow":[10],"for":[11,178,195],"parallel":[12],"recovery":[13],"information":[15,71],"symbols":[16],"from":[17],"coded":[19],"database":[20],"in":[21,86,97],"an":[22],"manner,":[24],"i.e.":[25],"when":[26],"different":[27,30],"queries":[28],"take":[29],"time":[31],"to":[32,134],"process.":[33],"Then,":[34],"we":[35,50,153],"show":[36,154],"the":[38,77,81,95,102,115,128,132,142,145,156,169],"graph-based":[39,65,146,161],"studied":[42],"by":[43,107,119],"Rawat":[44],"et":[45],"al.":[46],"are":[47],"asynchronous.":[48],"Further,":[49],"demonstrate":[51],"hypergraphs":[53],"Berge":[55,92],"girth":[56,93],"at":[57,61],"least":[58,62],"4,":[59,186,208],"respectively":[60,69],"3,":[63],"yield":[64],"codes,":[68],"private":[70],"retrieval":[72],"(PIR)":[73],"codes.":[74,151],"prove":[76],"hypergraph-theoretic":[78,103],"proposition":[79],"maximum":[82],"number":[83],"hyperedges":[85],"hypergraph":[88],"fixed":[91,181],"equals":[94],"quantity":[96],"certain":[99],"generalization":[100,126],"(6,3)-problem,":[104],"first":[105],"posed":[106],"Brown,":[108],"Erdos":[109],"and":[110,117,122,139,149],"S\u00f3s.":[111],"then":[113],"apply":[114],"constructions":[116,138],"bounds":[118,140],"Erdos,":[120],"Frankl":[121],"R\u00f6dl":[123],"about":[124],"this":[125],"(6,3)problem,":[129],"known":[130],"as":[131],"(3r-3,r)-problem,":[133],"obtain":[135],"code":[137],"on":[141],"redundancy":[143,158],"PIR":[150],"Finally,":[152],"optimal":[157],"\u03c1(k)":[159,187],"dimension":[166],"k":[167],"with":[168],"query":[170],"size":[171],"t":[172,184,206],"=":[173,188,214],"3":[174],"is":[175],"2\u221ak.":[176],"Moreover,":[177],"general":[180,203],"value":[182,204],"\u2265":[185,207],"O":[189],"(k":[190],"<sup":[191],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[192,211],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1/(2-\u03b5)</sup>":[193],")":[194],"any":[196],"small":[197],"\u03b5":[198],">":[199],"0.":[200],"For":[201],"lim":[209],"<sub":[210],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">k\u2192\u221e</sub>":[212],"\u03c1(k)\u221ak":[213],"\u221e.":[215]},"counts_by_year":[],"updated_date":"2026-06-26T08:34:08.712188","created_date":"2025-10-10T00:00:00"}
