{"id":"https://openalex.org/W3111265533","doi":"https://doi.org/10.1515/jmc-2020-0074","title":"Approximate Voronoi cells for lattices, revisited","display_name":"Approximate Voronoi cells for lattices, revisited","publication_year":2020,"publication_date":"2020-11-17","ids":{"openalex":"https://openalex.org/W3111265533","doi":"https://doi.org/10.1515/jmc-2020-0074","mag":"3111265533"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2020-0074","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2020-0074/pdf","source":{"id":"https://openalex.org/S100611479","display_name":"Journal of Mathematical Cryptology","issn_l":"1862-2976","issn":["1862-2976","1862-2984"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"type":"article","type_crossref":"journal-article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2020-0074/pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023482258","display_name":"Thijs Laarhoven","orcid":"https://orcid.org/0000-0002-2369-9067"},"institutions":[{"id":"https://openalex.org/I83019370","display_name":"Eindhoven University of Technology","ror":"https://ror.org/02c2kyt77","country_code":"NL","type":"education","lineage":["https://openalex.org/I83019370"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"Thijs Laarhoven","raw_affiliation_strings":["Eindhoven University of Technology , Eindhoven , The Netherlands"],"affiliations":[{"raw_affiliation_string":"Eindhoven University of Technology , Eindhoven , The Netherlands","institution_ids":["https://openalex.org/I83019370"]}]}],"institution_assertions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5023482258"],"corresponding_institution_ids":["https://openalex.org/I83019370"],"apc_list":{"value":1000,"currency":"EUR","value_usd":1078,"provenance":"doaj"},"apc_paid":{"value":1000,"currency":"EUR","value_usd":1078,"provenance":"doaj"},"fwci":0.357,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":4,"citation_normalized_percentile":{"value":0.744604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":77,"max":79},"biblio":{"volume":"15","issue":"1","first_page":"60","last_page":"71"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9999,"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":0.9999,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9991,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.9974,"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":[],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6169658},{"id":"https://openalex.org/C24881265","wikidata":"https://www.wikidata.org/wiki/Q757267","display_name":"Voronoi diagram","level":2,"score":0.5270579},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4450476},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44070643},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39627805},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.34782934},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.24512947},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21290389},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.11681014}],"mesh":[],"locations_count":5,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2020-0074","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2020-0074/pdf","source":{"id":"https://openalex.org/S100611479","display_name":"Journal of Mathematical Cryptology","issn_l":"1862-2976","issn":["1862-2976","1862-2984"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":false,"landing_page_url":"https://doaj.org/article/71c5153999b34d57a54a9e47b6d11740","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false},{"is_oa":true,"landing_page_url":"https://pure.tue.nl/ws/files/174568707/10.1515_jmc_2020_0074.pdf","pdf_url":"https://pure.tue.nl/ws/files/174568707/10.1515_jmc_2020_0074.pdf","source":null,"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://research.tue.nl/nl/publications/bba51f4b-e4f4-49dd-8779-0a9dbab4439d","pdf_url":"https://research.tue.nl/files/174568707/10.1515_jmc_2020_0074.pdf","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":["Royal Netherlands Academy of Arts and Sciences"],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true},{"is_oa":true,"landing_page_url":"https://arxiv.org/abs/1907.04630","pdf_url":"https://arxiv.org/pdf/1907.04630","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":["Cornell University"],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1515/jmc-2020-0074","pdf_url":"https://www.degruyter.com/document/doi/10.1515/jmc-2020-0074/pdf","source":{"id":"https://openalex.org/S100611479","display_name":"Journal of Mathematical Cryptology","issn_l":"1862-2976","issn":["1862-2976","1862-2984"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310313990","host_organization_name":"De Gruyter","host_organization_lineage":["https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":44,"referenced_works":["https://openalex.org/W1447686308","https://openalex.org/W1491861813","https://openalex.org/W1496447390","https://openalex.org/W1540698682","https://openalex.org/W1572143270","https://openalex.org/W1572529050","https://openalex.org/W1845765495","https://openalex.org/W1992938819","https://openalex.org/W1996271812","https://openalex.org/W1997002146","https://openalex.org/W2000956176","https://openalex.org/W2010219188","https://openalex.org/W2021907057","https://openalex.org/W2040996999","https://openalex.org/W2044180609","https://openalex.org/W2050689197","https://openalex.org/W2061949491","https://openalex.org/W2069278600","https://openalex.org/W2077244027","https://openalex.org/W2101362102","https://openalex.org/W2133083701","https://openalex.org/W2155178472","https://openalex.org/W2160639384","https://openalex.org/W2167382625","https://openalex.org/W2168676717","https://openalex.org/W2268911554","https://openalex.org/W2295744963","https://openalex.org/W2601026052","https://openalex.org/W2774544939","https://openalex.org/W2789825276","https://openalex.org/W2794791038","https://openalex.org/W2795008797","https://openalex.org/W2890428003","https://openalex.org/W2920734175","https://openalex.org/W2946791252","https://openalex.org/W2951649498","https://openalex.org/W2952033682","https://openalex.org/W2954691978","https://openalex.org/W2959677688","https://openalex.org/W2964691826","https://openalex.org/W2991397127","https://openalex.org/W3104264786","https://openalex.org/W3113861354","https://openalex.org/W4297991408"],"related_works":["https://openalex.org/W4360958759","https://openalex.org/W3020555194","https://openalex.org/W2962797788","https://openalex.org/W288156810","https://openalex.org/W2793256277","https://openalex.org/W2389906634","https://openalex.org/W2348235448","https://openalex.org/W2116218375","https://openalex.org/W176898926","https://openalex.org/W1562406979"],"abstract_inverted_index":{"Abstract":[0],"We":[1,123],"revisit":[2],"the":[3,10,22,35,42,54,58,126,135,138,141,146,188,197],"approximate":[4],"Voronoi":[5,39],"cells":[6,40],"approach":[7,154],"for":[8,196],"solving":[9],"closest":[11,198],"vector":[12,199],"problem":[13,24,128],"with":[14,149],"preprocessing":[15],"(CVPP)":[16],"on":[17,34,53],"high-dimensional":[18],"lattices,":[19],"and":[20,88,140,186],"settle":[21,125],"open":[23,127],"of":[25,30,37,57,129,137],"Doulgerakis\u2013Laarhoven\u2013De":[26],"Weger":[27],"[PQCrypto,":[28],"2019]":[29],"determining":[31],"exact":[32],"asymptotics":[33],"volume":[36],"these":[38],"under":[41],"Gaussian":[43],"heuristic.":[44],"As":[45],"a":[46,131],"result,":[47],"we":[48,89],"obtain":[49,93],"improved":[50],"upper":[51],"bounds":[52],"time":[55,143,147],"complexity":[56,148],"randomized":[59],"iterative":[60],"slicer":[61],"when":[62,97],"using":[63,98],"less":[64,99],"than":[65,100],"<m:math":[66,101,157],"xmlns:m=\"http://www.w3.org/1998/Math/MathML\">":[67,102,158],"<m:msup>":[68,103,159],"<m:mn>2</m:mn>":[69,104,168],"<m:mrow":[70,105,161,164],"class=\"MJX-TeXAtom-ORD\">":[71,106,162,165],"<m:mn>0.076</m:mn>":[72],"<m:mi>d</m:mi>":[73,78,108,113,160,163,173],"<m:mo>+</m:mo>":[74,109,169],"<m:mi>o</m:mi>":[75,110,170],"<m:mo":[76,79,111,114,171,174],"stretchy=\"false\">(</m:mo>":[77,112,172],"stretchy=\"false\">)</m:mo>":[80,115,175],"</m:mrow>":[81,116,167,176],"</m:msup>":[82,117,177],"</m:math>":[83,118,178],"$2^{0.076d":[84],"+":[85,120,180],"o(d)}$":[86,121,181],"memory,":[87],"show":[90],"how":[91],"to":[92],"time\u2013memory":[94],"trade-offs":[95],"even":[96],"<m:mn>0.048</m:mn>":[107],"$2^{0.048d":[119],"memory.":[122],"also":[124],"obtaining":[130],"continuous":[132],"trade-off":[133],"between":[134],"size":[136],"advice":[139,151],"query":[142],"complexity,":[144],"as":[145,156,192],"subexponential":[150],"in":[152],"our":[153],"scales":[155],"<m:mo>/</m:mo>":[166],"$d^{d/2":[179],"matching":[182],"worst-case":[183],"enumeration":[184,194],"bounds,":[185],"achieving":[187],"same":[189],"asymptotic":[190],"scaling":[191],"average-case":[193],"algorithms":[195],"problem.":[200]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3111265533","counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2025-01-09T13:17:35.502217","created_date":"2020-12-21"}
  <script>parent.window.postMessage('ixistenz.url:https://api.openalex.org/works/doi:10.1515%2FJMC-2020-0074', '*'); </script> <div id='browserdiffcontainer' style='position: fixed; right: 10px; top: 10vh; min-width: 60px;  border: 1px solid white; background: rgb(251, 189, 0);; opacity: 0.9; font-family: helvetica, arial, sans serif;  font-size: 12px; z-index: 20001; padding-bottom: 20px;'><div onclick="toggle('browserdiffcontainerlist'); return false;" style='background: rgb(151, 89, 0);; color: white; '><strong>&nbsp; <span class='glyphicon glyphicon-minus'></span> NODES</strong></div><div id='browserdiffcontainerlist' style='padding-left: 10px; padding-right: 5px; max-height: 50vh; overflow: auto; '></div></div>
<script>
function toggle( divname ) {
  var x = document.getElementById( divname );
  if (x.style.display === 'none') {
    x.style.display = 'block';
  } else {
    x.style.display = 'none';
  }
} </script>