{"id":"https://openalex.org/W4406920250","doi":"https://doi.org/10.13154/tosc.v2018.i1.254-276","title":"Revisiting and Improving Algorithms for the 3XOR Problem","display_name":"Revisiting and Improving Algorithms for the 3XOR Problem","publication_year":2018,"publication_date":"2018-03-01","ids":{"openalex":"https://openalex.org/W4406920250","doi":"https://doi.org/10.13154/tosc.v2018.i1.254-276"},"language":"en","primary_location":{"id":"pmh:oai:HAL:hal-01655907v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01655907","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IACR Transactions on Symmetric Cryptology, 2018, ⟨10.13154/tosc.v2018.i1.254-276⟩","raw_type":"Journal articles"},"type":"article","indexed_in":["datacite","doaj"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-01655907","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5054666119","display_name":"Charles Bouillaguet","orcid":"https://orcid.org/0000-0001-9416-6244"},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Bouillaguet, Charles","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5071991273","display_name":"Claire Delaplace","orcid":"https://orcid.org/0000-0002-5314-1806"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Delaplace, Claire","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5016755346","display_name":"Pierre-Alain Fouque","orcid":"https://orcid.org/0000-0003-4997-2276"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Fouque, Pierre-Alain","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5054666119"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.2498,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.63980604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12983","display_name":"Satellite Image Processing and Photogrammetry","score":0.7199000120162964,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean 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/T12983","display_name":"Satellite Image Processing and Photogrammetry","score":0.7199000120162964,"subfield":{"id":"https://openalex.org/subfields/2212","display_name":"Ocean Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5278183221817017},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.45421302318573}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5278183221817017},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.45421302318573}],"mesh":[],"locations_count":3,"locations":[{"id":"pmh:oai:HAL:hal-01655907v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01655907","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IACR Transactions on Symmetric Cryptology, 2018, ⟨10.13154/tosc.v2018.i1.254-276⟩","raw_type":"Journal articles"},{"id":"pmh:oai:doaj.org/article:417ab7ebc15a4c1c96163b1bc252a140","is_oa":true,"landing_page_url":"https://doaj.org/article/417ab7ebc15a4c1c96163b1bc252a140","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IACR Transactions on Symmetric Cryptology, Pp 254-276 (2018)","raw_type":"article"},{"id":"doi:10.13154/tosc.v2018.i1.254-276","is_oa":true,"landing_page_url":"https://doi.org/10.13154/tosc.v2018.i1.254-276","pdf_url":null,"source":{"id":"https://openalex.org/S7407052971","display_name":"UB Bochum","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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01655907v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01655907","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"IACR Transactions on Symmetric Cryptology, 2018, ⟨10.13154/tosc.v2018.i1.254-276⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W4391913857","https://openalex.org/W2358668433","https://openalex.org/W4396701345","https://openalex.org/W2376932109"],"abstract_inverted_index":{"The":[0,65],"3SUM":[1,281],"problem":[2,6,67,153,180],"is":[3,25,34,68,142,166,175,224,227,245,286,304],"a":[4,69,110,113,121,130,194,202,280,310,319,345],"well-known":[5],"in":[7,139,215,220,273],"computer":[8],"science":[9],"and":[10,43,45,54,83,164,217,338],"many":[11],"geometric":[12],"problems":[13],"have":[14],"been":[15],"reduced":[16],"to":[17,38,48,108,127,149,161,177,229,247,251,299,321],"it.":[18],"We":[19,200,277,331],"study":[20],"the":[21,32,73,84,92,117,151,156,179,189,233,274,294,300,327],"3XOR":[22,66,152,203,301,324,347],"variant":[23],"which":[24,155,285],"more":[26,94],"cryptologically":[27],"relevant.":[28],"In":[29,186],"this":[30,187,249,334],"problem,":[31,302],"attacker":[33],"given":[35],"black-box":[36],"access":[37],"three":[39,50],"random":[40,172],"functions":[41,93],"F,G":[42],"H":[44,165],"she":[46],"has":[47],"find":[49],"inputs":[51],"x,":[52],"y":[53],"z":[55],"such":[56,129],"that":[57,205,243,257,333],"F(x)":[58],"\u2295":[59,61],"G(y)":[60],"H(z)":[62],"=":[63],"0.":[64],"difficult":[70,138],"case":[71],"of":[72,102,112,119,124,133,159,209,254,313],"more-general":[74],"k-list":[75,80],"birthday":[76,81],"problem.":[77],"Wagner\u2019s":[78,271],"celebrated":[79],"algorithm,":[82],"ones":[85],"inspired":[86],"by":[87,90,283],"it,":[88],"work":[89],"querying":[91],"than":[95,232,293],"strictly":[96],"necessary":[97],"from":[98],"an":[99,207],"information-theoretic":[100],"point":[101],"view.":[103],"This":[104,141,222],"gives":[105],"some":[106],"leeway":[107],"target":[109],"solution":[111,195],"specific":[114],"form,":[115],"at":[116,262],"expense":[118],"processing":[120],"huge":[122,131],"amount":[123,132],"data.":[125],"However,":[126],"handle":[128],"data":[134],"can":[135],"be":[136,261],"very":[137,336],"practice.":[140],"why":[143],"we":[144,241,316,339],"first":[145],"restricted":[146],"our":[147],"attention":[148],"solving":[150],"for":[154,326,348],"total":[157],"number":[158,253],"queries":[160],"F,":[162],"G":[163],"minimal.":[167],"If":[168],"they":[169],"are":[170],"n-bit":[171],"functions,":[173],"it":[174,226,244,258],"possible":[176,246],"solve":[178,322],"with":[181,211,344],"roughly":[182],"\ud835\udcaa":[183,197,213,218],"(2n/3)":[184,219],"queries.":[185],"setting,":[188],"folklore":[190],"quadratic":[191,234,295],"algorithm":[192,204,223,250,282,296],"finds":[193],"after":[196],"(22n/3)":[198],"operations.":[199],"present":[201,340],"generalizes":[206],"idea":[208],"Joux,":[210],"complexity":[212],"(22n/3/n)":[214],"times":[216,291],"space.":[221],"practical:":[225],"up":[228],"3\u00d7":[230],"faster":[231,292],"algorithm.":[235],"Furthermore,":[236],"using":[237],"Bernstein\u2019s":[238],"\u201cclamping":[239],"trick\u201d,":[240],"show":[242],"adapt":[248],"any":[252],"queries,":[255],"so":[256],"will":[259],"always":[260],"least":[263],"as":[264],"good":[265],"as,":[266],"if":[267],"not":[268],"better":[269],"than,":[270],"descendants":[272],"same":[275],"settings.":[276],"also":[278],"revisit":[279],"Baran-Demaine-P\u01cetra\u0219cu":[284],"asymptotically":[287],"n2/":[288],"log2":[289],"n":[290],"when":[297],"adapted":[298],"but":[303],"otherwise":[305],"completely":[306],"impractical.":[307],"To":[308],"gain":[309],"deeper":[311],"understanding":[312],"these":[314],"problems,":[315],"embarked":[317],"on":[318],"project":[320],"actual":[323],"instances":[325],"SHA256":[328],"hash":[329],"function.":[330],"believe":[332],"was":[335],"beneficial":[337],"practical":[341],"remarks,":[342],"along":[343],"96-bit":[346],"SHA256.":[349]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T06:51:31.235846","created_date":"2025-10-10T00:00:00"}