{"id":"https://openalex.org/W2130192157","doi":"https://doi.org/10.1137/s0097539704443276","title":"Bounds on the Efficiency of Generic Cryptographic Constructions","display_name":"Bounds on the Efficiency of Generic Cryptographic Constructions","publication_year":2005,"publication_date":"2005-01-01","ids":{"openalex":"https://openalex.org/W2130192157","doi":"https://doi.org/10.1137/s0097539704443276","mag":"2130192157"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539704443276","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539704443276","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5013831409","display_name":"Rosario Gennaro","orcid":null},"institutions":[{"id":"https://openalex.org/I1297971548","display_name":"International Computer Science Institute","ror":"https://ror.org/01ewh7m12","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1297971548"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I4210123431","display_name":"A.S. Watson (Netherlands)","ror":"https://ror.org/030nx8440","country_code":"NL","type":"company","lineage":["https://openalex.org/I4210123431"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]},{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Rosario Gennaro","raw_affiliation_strings":["Watson Research Center","Department of Psychology, University of Illinois at Urbana-Champaign","Computer Science Division, UC Berkeley","Department of Computer Science, University of Maryland","Dept. of Computer and Information Science, University of Pennsylvania"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Watson Research Center","institution_ids":["https://openalex.org/I4210123431"]},{"raw_affiliation_string":"Department of Psychology, University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Computer Science Division, UC Berkeley","institution_ids":["https://openalex.org/I1297971548","https://openalex.org/I95457486"]},{"raw_affiliation_string":"Department of Computer Science, University of Maryland","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Dept. of Computer and Information Science, University of Pennsylvania","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5072434004","display_name":"Yael Gertner","orcid":"https://orcid.org/0000-0001-8818-8172"},"institutions":[{"id":"https://openalex.org/I1297971548","display_name":"International Computer Science Institute","ror":"https://ror.org/01ewh7m12","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1297971548"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I4210123431","display_name":"A.S. Watson (Netherlands)","ror":"https://ror.org/030nx8440","country_code":"NL","type":"company","lineage":["https://openalex.org/I4210123431"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]},{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Yael Gertner","raw_affiliation_strings":["Computer Science Division, UC Berkeley","Dept. of Computer and Information Science, University of Pennsylvania","Department of Psychology, University of Illinois at Urbana-Champaign","Watson Research Center","Department of Computer Science, University of Maryland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Division, UC Berkeley","institution_ids":["https://openalex.org/I1297971548","https://openalex.org/I95457486"]},{"raw_affiliation_string":"Dept. of Computer and Information Science, University of Pennsylvania","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Psychology, University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Watson Research Center","institution_ids":["https://openalex.org/I4210123431"]},{"raw_affiliation_string":"Department of Computer Science, University of Maryland","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053223081","display_name":"Jonathan Katz","orcid":"https://orcid.org/0000-0001-6084-9303"},"institutions":[{"id":"https://openalex.org/I1297971548","display_name":"International Computer Science Institute","ror":"https://ror.org/01ewh7m12","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1297971548"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I4210123431","display_name":"A.S. Watson (Netherlands)","ror":"https://ror.org/030nx8440","country_code":"NL","type":"company","lineage":["https://openalex.org/I4210123431"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]},{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Jonathan Katz","raw_affiliation_strings":["Dept. of Computer and Information Science, University of Pennsylvania","Computer Science Division, UC Berkeley","Watson Research Center","Department of Psychology, University of Illinois at Urbana-Champaign","Department of Computer Science, University of Maryland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Dept. of Computer and Information Science, University of Pennsylvania","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Computer Science Division, UC Berkeley","institution_ids":["https://openalex.org/I1297971548","https://openalex.org/I95457486"]},{"raw_affiliation_string":"Watson Research Center","institution_ids":["https://openalex.org/I4210123431"]},{"raw_affiliation_string":"Department of Psychology, University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Department of Computer Science, University of Maryland","institution_ids":["https://openalex.org/I66946132"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5057752375","display_name":"Luca Trevisan","orcid":"https://orcid.org/0000-0002-6982-8530"},"institutions":[{"id":"https://openalex.org/I1297971548","display_name":"International Computer Science Institute","ror":"https://ror.org/01ewh7m12","country_code":"US","type":"nonprofit","lineage":["https://openalex.org/I1297971548"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]},{"id":"https://openalex.org/I4210123431","display_name":"A.S. Watson (Netherlands)","ror":"https://ror.org/030nx8440","country_code":"NL","type":"company","lineage":["https://openalex.org/I4210123431"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]},{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]},{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["NL","US"],"is_corresponding":false,"raw_author_name":"Luca Trevisan","raw_affiliation_strings":["Department of Computer Science, University of Maryland","Computer Science Division, UC Berkeley","Dept. of Computer and Information Science, University of Pennsylvania","Watson Research Center","Department of Psychology, University of Illinois at Urbana-Champaign"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Maryland","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Computer Science Division, UC Berkeley","institution_ids":["https://openalex.org/I1297971548","https://openalex.org/I95457486"]},{"raw_affiliation_string":"Dept. of Computer and Information Science, University of Pennsylvania","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Watson Research Center","institution_ids":["https://openalex.org/I4210123431"]},{"raw_affiliation_string":"Department of Psychology, University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":9.196,"has_fulltext":false,"cited_by_count":117,"citation_normalized_percentile":{"value":0.97837352,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":99},"biblio":{"volume":"35","issue":"1","first_page":"217","last_page":"246"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9998999834060669,"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":0.9998999834060669,"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/T11130","display_name":"Coding theory and cryptography","score":0.9997000098228455,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9995999932289124,"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/cryptographic-primitive","display_name":"Cryptographic primitive","score":0.756381630897522},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.717641294002533},{"id":"https://openalex.org/keywords/pseudorandom-function-family","display_name":"Pseudorandom function family","score":0.676465630531311},{"id":"https://openalex.org/keywords/hash-function","display_name":"Hash function","score":0.6232691407203674},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.5734850168228149},{"id":"https://openalex.org/keywords/focus","display_name":"Focus (optics)","score":0.5467298626899719},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.5105642080307007},{"id":"https://openalex.org/keywords/pseudorandom-number-generator","display_name":"Pseudorandom number generator","score":0.4957664906978607},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.48074960708618164},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4678208529949188},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.45692941546440125},{"id":"https://openalex.org/keywords/one-way-function","display_name":"One-way function","score":0.45173344016075134},{"id":"https://openalex.org/keywords/key","display_name":"Key (lock)","score":0.433106005191803},{"id":"https://openalex.org/keywords/oblivious-transfer","display_name":"Oblivious transfer","score":0.4274039566516876},{"id":"https://openalex.org/keywords/pseudorandom-generator","display_name":"Pseudorandom generator","score":0.42404812574386597},{"id":"https://openalex.org/keywords/cryptographic-protocol","display_name":"Cryptographic protocol","score":0.3631429970264435},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35593098402023315},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.1928063929080963},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.17385029792785645},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.06848269701004028}],"concepts":[{"id":"https://openalex.org/C15927051","wikidata":"https://www.wikidata.org/wiki/Q246593","display_name":"Cryptographic primitive","level":4,"score":0.756381630897522},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.717641294002533},{"id":"https://openalex.org/C178774983","wikidata":"https://www.wikidata.org/wiki/Q734896","display_name":"Pseudorandom function family","level":3,"score":0.676465630531311},{"id":"https://openalex.org/C99138194","wikidata":"https://www.wikidata.org/wiki/Q183427","display_name":"Hash function","level":2,"score":0.6232691407203674},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.5734850168228149},{"id":"https://openalex.org/C192209626","wikidata":"https://www.wikidata.org/wiki/Q190909","display_name":"Focus (optics)","level":2,"score":0.5467298626899719},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.5105642080307007},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.4957664906978607},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.48074960708618164},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4678208529949188},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.45692941546440125},{"id":"https://openalex.org/C105355099","wikidata":"https://www.wikidata.org/wiki/Q720931","display_name":"One-way function","level":3,"score":0.45173344016075134},{"id":"https://openalex.org/C26517878","wikidata":"https://www.wikidata.org/wiki/Q228039","display_name":"Key (lock)","level":2,"score":0.433106005191803},{"id":"https://openalex.org/C53076038","wikidata":"https://www.wikidata.org/wiki/Q2915383","display_name":"Oblivious transfer","level":3,"score":0.4274039566516876},{"id":"https://openalex.org/C92913381","wikidata":"https://www.wikidata.org/wiki/Q7255474","display_name":"Pseudorandom generator","level":3,"score":0.42404812574386597},{"id":"https://openalex.org/C33884865","wikidata":"https://www.wikidata.org/wiki/Q1254335","display_name":"Cryptographic protocol","level":3,"score":0.3631429970264435},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35593098402023315},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.1928063929080963},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.17385029792785645},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.06848269701004028},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C120665830","wikidata":"https://www.wikidata.org/wiki/Q14620","display_name":"Optics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0097539704443276","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539704443276","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.6.2942","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.2942","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.umd.edu/~jkatz/papers/efficiency_full.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6226222468","display_name":"CAREER: Randomized Computations and Probabilistically Checkable Proofs","funder_award_id":"9984703","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W1484557542","https://openalex.org/W1499074627","https://openalex.org/W1510582395","https://openalex.org/W1548880861","https://openalex.org/W1570500348","https://openalex.org/W1588297800","https://openalex.org/W1625658248","https://openalex.org/W1969694673","https://openalex.org/W1972792640","https://openalex.org/W1974751157","https://openalex.org/W1979215153","https://openalex.org/W1996068512","https://openalex.org/W2004881597","https://openalex.org/W2011112377","https://openalex.org/W2012045293","https://openalex.org/W2015880590","https://openalex.org/W2025126575","https://openalex.org/W2061106457","https://openalex.org/W2074594718","https://openalex.org/W2088492763","https://openalex.org/W2090903439","https://openalex.org/W2098121410","https://openalex.org/W2100464382","https://openalex.org/W2117362057","https://openalex.org/W2126661026","https://openalex.org/W2133203144","https://openalex.org/W2146337447","https://openalex.org/W2151413173","https://openalex.org/W2155299787","https://openalex.org/W2164284862","https://openalex.org/W2166278075","https://openalex.org/W2233233025","https://openalex.org/W2911777915","https://openalex.org/W2990399857","https://openalex.org/W4210300416"],"related_works":["https://openalex.org/W2017520109","https://openalex.org/W2505660553","https://openalex.org/W2499643107","https://openalex.org/W2611398525","https://openalex.org/W4365935939","https://openalex.org/W1525673003","https://openalex.org/W1552471286","https://openalex.org/W2189790193","https://openalex.org/W2057811891","https://openalex.org/W2130192157"],"abstract_inverted_index":{"A":[0],"central":[1],"focus":[2,93],"of":[3,9,31,49,53,73,87,96,114,142],"modern":[4],"cryptography":[5],"is":[6],"the":[7,29,45,59,74,139],"construction":[8,52,132],"efficient,":[10],"high-level":[11],"cryptographic":[12,20,56,65],"tools":[13,57],"(e.g.,":[14,22],"encryption":[15,118],"schemes)":[16],"from":[17,58],"weaker,":[18],"low-level":[19],"primitives":[21],"one-way":[23,100,108,144],"functions).":[24],"Of":[25],"interest":[26],"are":[27],"both":[28],"existence":[30,141],"such":[32],"constructions":[33,95,113],"and":[34,62,79,81,83,90,103,116,146],"their":[35],"efficiency.":[36],"Here,":[37],"we":[38,127],"show":[39,128],"essentially":[40],"tight":[41],"lower":[42],"bounds":[43],"on":[44,94,107,121],"best":[46],"possible":[47],"efficiency":[48,135],"any":[50,130],"black-box":[51,131],"some":[54],"fundamental":[55],"most":[60],"basic":[61],"widely":[63],"used":[64],"primitives.":[66],"Our":[67],"results":[68,86],"hold":[69],"in":[70,148],"an":[71],"extension":[72],"model":[75],"introduced":[76],"by":[77],"Impagliazzo":[78],"Rudich":[80],"improve":[82],"extend":[84],"earlier":[85],"Kim,":[88],"Simon,":[89],"Tetali.":[91],"We":[92],"pseudorandom":[97],"generators,":[98],"universal":[99],"hash":[101],"functions,":[102],"digital":[104],"signatures":[105],"based":[106,120],"permutations,":[109],"as":[110,112],"well":[111],"public-":[115],"private-key":[117],"schemes":[119],"trapdoor":[122],"permutations.":[123],"In":[124],"each":[125],"case,":[126],"that":[129],"beating":[133],"our":[134],"bound":[136],"would":[137],"yield":[138],"unconditional":[140],"a":[143],"function":[145],"thus,":[147],"particular,":[149],"prove":[150],"$P":[151],"\\neq":[152],"NP$.":[153]},"counts_by_year":[{"year":2026,"cited_by_count":3},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":4},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":8},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":7},{"year":2013,"cited_by_count":6},{"year":2012,"cited_by_count":9}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}
