{"id":"https://openalex.org/W7080454819","doi":"https://doi.org/10.4230/lipics.itc.2025.4","title":"Time-Space Tradeoffs of Truncation with Preprocessing","display_name":"Time-Space Tradeoffs of Truncation with Preprocessing","publication_year":2025,"publication_date":"2025-01-01","ids":{"openalex":"https://openalex.org/W7080454819","doi":"https://doi.org/10.4230/lipics.itc.2025.4"},"language":"en","primary_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:24354","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITC.2025.4","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol343-itc2025/LIPIcs.ITC.2025.4/LIPIcs.ITC.2025.4.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol343-itc2025/LIPIcs.ITC.2025.4/LIPIcs.ITC.2025.4.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":null,"display_name":"Pietrzak, Krzysztof","orcid":"https://orcid.org/0000-0002-9139-1654"},"institutions":[{"id":"https://openalex.org/I157556583","display_name":"Institute of Science and Technology Austria","ror":"https://ror.org/03gnh5541","country_code":"AT","type":"education","lineage":["https://openalex.org/I157556583"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"Pietrzak, Krzysztof","raw_affiliation_strings":["IST, Klosterneuburg, Austria"],"affiliations":[{"raw_affiliation_string":"IST, Klosterneuburg, Austria","institution_ids":["https://openalex.org/I157556583"]}]},{"author_position":"last","author":{"id":null,"display_name":"Wang, Pengxiang","orcid":"https://orcid.org/0009-0002-2700-8363"},"institutions":[{"id":"https://openalex.org/I5124864","display_name":"\u00c9cole Polytechnique F\u00e9d\u00e9rale de Lausanne","ror":"https://ror.org/02s376052","country_code":"CH","type":"education","lineage":["https://openalex.org/I2799323385","https://openalex.org/I5124864"]}],"countries":["CH"],"is_corresponding":false,"raw_author_name":"Wang, Pengxiang","raw_affiliation_strings":["EPFL, Lausanne, Switzerland"],"affiliations":[{"raw_affiliation_string":"EPFL, Lausanne, Switzerland","institution_ids":["https://openalex.org/I5124864"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I157556583"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.52342723,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":true,"primary_topic":{"id":"https://openalex.org/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.33899998664855957,"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/T12157","display_name":"Geochemistry and Geologic Mapping","score":0.33899998664855957,"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/T13177","display_name":"Geological and Geophysical Studies","score":0.060100000351667404,"subfield":{"id":"https://openalex.org/subfields/1907","display_name":"Geology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T13067","display_name":"Geological Modeling and Analysis","score":0.029899999499320984,"subfield":{"id":"https://openalex.org/subfields/1906","display_name":"Geochemistry and Petrology"},"field":{"id":"https://openalex.org/fields/19","display_name":"Earth and Planetary Sciences"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/truncation","display_name":"Truncation (statistics)","score":0.6617000102996826},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.6485999822616577},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6031000018119812},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5989000201225281},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5597000122070312},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5284000039100647},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5120000243186951},{"id":"https://openalex.org/keywords/random-permutation","display_name":"Random permutation","score":0.5016999840736389}],"concepts":[{"id":"https://openalex.org/C106195933","wikidata":"https://www.wikidata.org/wiki/Q7847935","display_name":"Truncation (statistics)","level":2,"score":0.6617000102996826},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.6485999822616577},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6031000018119812},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5989000201225281},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5597000122070312},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5583000183105469},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5284000039100647},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5120000243186951},{"id":"https://openalex.org/C200985842","wikidata":"https://www.wikidata.org/wiki/Q3375503","display_name":"Random permutation","level":3,"score":0.5016999840736389},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.49470001459121704},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45680001378059387},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4442000091075897},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4226999878883362},{"id":"https://openalex.org/C87431388","wikidata":"https://www.wikidata.org/wiki/Q2070573","display_name":"Perfect hash function","level":4,"score":0.375},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37279999256134033},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.3626999855041504},{"id":"https://openalex.org/C15927051","wikidata":"https://www.wikidata.org/wiki/Q246593","display_name":"Cryptographic primitive","level":4,"score":0.3458999991416931},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.31060001254081726},{"id":"https://openalex.org/C148220186","wikidata":"https://www.wikidata.org/wiki/Q7111912","display_name":"Outcome (game theory)","level":2,"score":0.29170000553131104},{"id":"https://openalex.org/C187455244","wikidata":"https://www.wikidata.org/wiki/Q942353","display_name":"Boolean function","level":2,"score":0.28450000286102295},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.28209999203681946},{"id":"https://openalex.org/C201866948","wikidata":"https://www.wikidata.org/wiki/Q228206","display_name":"Random number generation","level":2,"score":0.28200000524520874},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.2533999979496002},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.2522999942302704}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:drops-oai.dagstuhl.de:24354","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITC.2025.4","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol343-itc2025/LIPIcs.ITC.2025.4/LIPIcs.ITC.2025.4.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},{"id":"doi:10.4230/lipics.itc.2025.4","is_oa":true,"landing_page_url":"https://doi.org/10.4230/lipics.itc.2025.4","pdf_url":null,"source":{"id":"https://openalex.org/S7407052059","display_name":"Dagstuhl Research Online Publication Server","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":""}],"best_oa_location":{"id":"pmh:oai:drops-oai.dagstuhl.de:24354","is_oa":true,"landing_page_url":"https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.ITC.2025.4","pdf_url":"https://drops.dagstuhl.de/storage/00lipics/lipics-vol343-itc2025/LIPIcs.ITC.2025.4/LIPIcs.ITC.2025.4.pdf","source":{"id":"https://openalex.org/S4377196569","display_name":"DROPS (Schloss Dagstuhl \u2013 Leibniz Center for Informatics)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I2799853480","host_organization_name":"Schloss Dagstuhl \u2013 Leibniz Center for Informatics","host_organization_lineage":["https://openalex.org/I2799853480"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"publishedVersion"},"sustainable_development_goals":[{"score":0.5230532288551331,"display_name":"Decent work and economic growth","id":"https://metadata.un.org/sdg/8"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":false},"content_urls":{"pdf":"https://content.openalex.org/works/W7080454819.pdf"},"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"Truncation":[0],"of":[1,102,171,201],"cryptographic":[2,31],"outputs":[3],"is":[4,23,87,241],"a":[5,37,109,156,196,199],"technique":[6],"that":[7,66,97,118,151,154,236],"was":[8],"recently":[9],"introduced":[10],"in":[11,187],"Baldimtsi":[12,16,92],"et":[13,17,93],"al.":[14],"[Foteini":[15,91],"al.,":[18,94],"2022].":[19],"The":[20],"general":[21],"idea":[22],"to":[24,29,143,212,227,252],"try":[25],"out":[26,55],"many":[27],"inputs":[28,60],"some":[30,40,45],"algorithm":[32,153],"until":[33],"the":[34,100,103,122,140,188,210,245,254,259],"output":[35,65],"(e.g.":[36],"public-key":[38],"or":[39,159],"hash":[41],"value)":[42],"falls":[43],"into":[44],"sparse":[46],"set":[47],"and":[48,129,167,225],"thus":[49],"can":[50,75,207],"be":[51],"compressed:":[52],"by":[53],"trying":[54],"an":[56,64],"expected":[57],"2^k":[58],"different":[59],"one":[61,74,192,206],"will":[62],"find":[63],"starts":[67],"with":[68,133,161,229,237],"k":[69],"zeros.":[70],"Using":[71],"such":[72],"truncation":[73,98],"for":[76,125,136,145],"example":[77],"save":[78,209],"substantial":[79],"gas":[80],"fees":[81],"on":[82,121],"Blockchains":[83],"where":[84,139,191],"storing":[85],"values":[86],"very":[88],"expensive.":[89],"While":[90],"2022]":[95],"show":[96,117,235],"preserves":[99],"security":[101],"underlying":[104],"primitive,":[105],"they":[106],"only":[107,194],"consider":[108],"setting":[110,190],"without":[111],"preprocessing.":[112],"In":[113],"this":[114],"work":[115],"we":[116],"lower":[119,182,266],"bounds":[120],"time-space":[123],"tradeoff":[124],"inverting":[126],"random":[127,157],"functions":[128],"permutations":[130],"also":[131],"hold":[132,144],"truncation,":[134,238],"except":[135],"parameters":[137],"ranges":[138],"bound":[141,183,267],"fails":[142],"\"trivial\"":[146],"reasons.":[147],"Concretely,":[148],"it\u2019s":[149],"known":[150,260],"any":[152],"inverts":[155],"function":[158,257],"permutation":[160],"range":[162,200],"N":[163,222,248,265],"making":[164],"T":[165,177,230,262],"queries":[166],"using":[168],"S":[169,218,240],"bits":[170,224,250],"auxiliary":[172],"input":[173],"must":[174,193],"satisfy":[175],"S\u22c5":[176,261],"\u2265":[178,263],"Nlog":[179,264],"N.":[180],"This":[181],"no":[184],"longer":[185],"holds":[186],"truncated":[189,256],"invert":[195,228],"challenge":[197],"from":[198],"size":[202],"N/2^k,":[203],"as":[204],"now":[205],"simply":[208],"replies":[211],"all":[213],"N/2^k":[214],"challenges,":[215],"which":[216],"requires":[217],"=":[219,231],"log":[220,246],"N\u22c5":[221,247],"/2^k":[223,249],"allows":[226],"1":[232],"query.":[233],"We":[234],"whenever":[239],"somewhat":[242],"smaller":[243],"than":[244],"required":[251],"store":[253],"entire":[255],"table,":[258],"applies.":[268]},"counts_by_year":[],"updated_date":"2026-03-11T14:59:36.786465","created_date":"2025-10-10T00:00:00"}
