{"id":"https://openalex.org/W7203920184","doi":"https://doi.org/10.48550/arxiv.2608.19091","title":"Non-Local Search-to-Decision Reduction over F2, and More","display_name":"Non-Local Search-to-Decision Reduction over F2, and More","publication_year":2026,"publication_date":"2026-08-19","ids":{"openalex":"https://openalex.org/W7203920184","doi":"https://doi.org/10.48550/arxiv.2608.19091"},"language":"en","primary_location":{"id":"pmh:oai:arXiv.org:2608.19091","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.19091","pdf_url":"https://arxiv.org/pdf/2608.19091","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":["arxiv","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2608.19091","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5007528794","display_name":"Prabhanjan Ananth","orcid":"https://orcid.org/0000-0001-5387-5730","observed_orcids":["https://orcid.org/0000-0001-5387-5730"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Ananth, Prabhanjan","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5007528794"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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/T10237","display_name":"Cryptography and Data Security","score":0.8544999957084656,"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/T10237","display_name":"Cryptography and Data Security","score":0.8544999957084656,"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/T10020","display_name":"Quantum Information and Cryptography","score":0.14059999585151672,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.0010000000474974513,"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/copy-protection","display_name":"copy protection","score":0.7829999923706055},{"id":"https://openalex.org/keywords/finite-fields","display_name":"finite fields","score":0.6510000228881836},{"id":"https://openalex.org/keywords/binary-vectors","display_name":"binary vectors","score":0.3919999897480011},{"id":"https://openalex.org/keywords/quantum-cryptography","display_name":"quantum cryptography","score":0.4259999990463257}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.5202999711036682},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.4828000068664551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4787999987602234},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4415000081062317},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4343000054359436},{"id":"https://openalex.org/C2777151079","wikidata":"https://www.wikidata.org/wiki/Q141160","display_name":"Parity (physics)","level":2,"score":0.4255000054836273},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.42410001158714294},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.4081000089645386},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40720000863075256},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.39399999380111694},{"id":"https://openalex.org/C125411270","wikidata":"https://www.wikidata.org/wiki/Q18653","display_name":"Encoding (memory)","level":2,"score":0.33009999990463257},{"id":"https://openalex.org/C2776285698","wikidata":"https://www.wikidata.org/wiki/Q2642214","display_name":"Exposition (narrative)","level":2,"score":0.31279999017715454},{"id":"https://openalex.org/C122123141","wikidata":"https://www.wikidata.org/wiki/Q176623","display_name":"Random variable","level":2,"score":0.30079999566078186},{"id":"https://openalex.org/C157486923","wikidata":"https://www.wikidata.org/wiki/Q1376436","display_name":"String (physics)","level":2,"score":0.29760000109672546},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.2816999852657318},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.26570001244544983},{"id":"https://openalex.org/C135598885","wikidata":"https://www.wikidata.org/wiki/Q1366302","display_name":"Row","level":2,"score":0.26429998874664307},{"id":"https://openalex.org/C149441793","wikidata":"https://www.wikidata.org/wiki/Q200726","display_name":"Probability distribution","level":2,"score":0.2623000144958496},{"id":"https://openalex.org/C144901912","wikidata":"https://www.wikidata.org/wiki/Q471906","display_name":"Quantum cryptography","level":4,"score":0.26030001044273376},{"id":"https://openalex.org/C92224547","wikidata":"https://www.wikidata.org/wiki/Q1673216","display_name":"Probability of error","level":2,"score":0.25780001282691956}],"mesh":[],"locations_count":2,"locations":[{"id":"pmh:oai:arXiv.org:2608.19091","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.19091","pdf_url":"https://arxiv.org/pdf/2608.19091","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"doi:10.48550/arxiv.2608.19091","doi":"https://doi.org/10.48550/arxiv.2608.19091","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2608.19091","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2608.19091","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/abs/2608.19091","pdf_url":"https://arxiv.org/pdf/2608.19091","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"listed_in":[],"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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W7203920184.pdf","grobid_xml":"https://content.openalex.org/works/W7203920184.grobid-xml"},"referenced_works_count":20,"referenced_works":["https://openalex.org/W1594537107","https://openalex.org/W2027528470","https://openalex.org/W2802008906","https://openalex.org/W2804172638","https://openalex.org/W2979929440","https://openalex.org/W3179310467","https://openalex.org/W3201018997","https://openalex.org/W4229706427","https://openalex.org/W4313170940","https://openalex.org/W4385654027","https://openalex.org/W4399521738","https://openalex.org/W4401666538","https://openalex.org/W4403176415","https://openalex.org/W4406168055","https://openalex.org/W4416903735","https://openalex.org/W7110247636","https://openalex.org/W7125475265","https://openalex.org/W7134979579","https://openalex.org/W7170729947","https://openalex.org/W7171374062"],"related_works":["https://openalex.org/W4397028813","https://openalex.org/W7203929114","https://openalex.org/W7203795330","https://openalex.org/W7134979579","https://openalex.org/W4313170940","https://openalex.org/W3201018997","https://openalex.org/W4385654027","https://openalex.org/W7170729947","https://openalex.org/W7162645244","https://openalex.org/W4389156817"],"abstract_inverted_index":{"Non-local":[0],"search-to-decision":[1],"asks":[2],"whether":[3],"the":[4,24,31,66,74,83,96],"difficulty":[5,25],"of":[6,26,120],"two":[7],"non-communicating":[8],"(non-local)":[9],"parties":[10,28,72],"both":[11,29,71],"predicting":[12,30],"x":[13],"given":[14],"a":[15,36,112,116],"bipartite":[16],"state":[17],"(that":[18],"possibly":[19],"depends":[20],"on":[21],"x)":[22],"implies":[23],"non-local":[27],"inner":[32],"product":[33],",":[34],"for":[35,95],"uniformly":[37,76],"random":[38,77],"r.":[39],"This":[40],"problem":[41],"and":[42,49,62,100,106],"its":[43],"variants":[44],"have":[45],"been":[46],"extensively":[47],"studied":[48],"are":[50,102],"motivated":[51],"by":[52],"applications":[53],"to":[54,82],"unclonable":[55,60,122],"cryptographic":[56],"primitives":[57],"such":[58],"as":[59],"encryption":[61],"copy-protection.":[63],"We":[64,91],"study":[65],"identical-challenge":[67],"setting,":[68],"in":[69,80,88],"which":[70],"receive":[73],"same":[75],"vector":[78],"r,":[79],"contrast":[81],"independently":[84],"sampled":[85],"challenges":[86],"considered":[87],"prior":[89],"works.":[90],"demonstrate":[92],"positive":[93],"results":[94],"cases":[97],"when":[98],"$x$":[99],"r":[101],"vectors":[103],"over":[104,107],"F_2":[105],"large":[108],"finite":[109],"fields.":[110],"As":[111],"consequence,":[113],"we":[114],"obtain":[115],"conceptually":[117],"different":[118],"proof":[119],"indistinguishability-secure":[121],"encryption.":[123]},"counts_by_year":[],"updated_date":"2026-11-08T12:12:28.789561","created_date":"2026-08-22T00:00:00"}
