{"id":"https://openalex.org/W2951497230","doi":null,"title":"Simple extractors via constructions of cryptographic pseudo-random generators","display_name":"Simple extractors via constructions of cryptographic pseudo-random generators","publication_year":2005,"publication_date":"2005-01-25","ids":{"openalex":"https://openalex.org/W2951497230","mag":"2951497230"},"language":"en","primary_location":{"id":"mag:2951497230","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/cs/0501075","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"volume":null,"type":"preprint","is_traditional":true,"indexed_in":[],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/cs/0501075","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5046763801","display_name":"Marius Zimand","orcid":"https://orcid.org/0000-0002-5938-6599","observed_orcids":["https://orcid.org/0000-0002-5938-6599"]},"institutions":[{"id":"https://openalex.org/I4322298","display_name":"Towson University","ror":"https://ror.org/044w7a341","country_code":"US","type":"education","lineage":["https://openalex.org/I4322298"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Marius Zimand","raw_affiliation_strings":["Department of Computer and Information Sciences, Towson University, Baltimore, MD, United States#TAB#"],"raw_orcid":"https://orcid.org/0000-0002-5938-6599","affiliations":[{"raw_affiliation_string":"Department of Computer and Information Sciences, Towson University, Baltimore, MD, United States#TAB#","institution_ids":["https://openalex.org/I4322298"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5046763801"],"corresponding_institution_ids":["https://openalex.org/I4322298"],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.31520000100135803,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.31520000100135803,"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/T10237","display_name":"Cryptography and Data Security","score":0.19169999659061432,"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/T11130","display_name":"Coding theory and cryptography","score":0.16419999301433563,"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/extractors","display_name":"extractors","score":0.7760000228881836},{"id":"https://openalex.org/keywords/pseudorandom-number-generators","display_name":"pseudorandom number generators","score":0.9480000138282776},{"id":"https://openalex.org/keywords/one-way-permutations","display_name":"one-way permutations","score":0.9240000247955322},{"id":"https://openalex.org/keywords/hard-functions","display_name":"hard functions","score":0.8859999775886536},{"id":"https://openalex.org/keywords/min-entropy","display_name":"min-entropy","score":0.7979999780654907},{"id":"https://openalex.org/keywords/seed-length","display_name":"seed length","score":0.8349999785423279}],"concepts":[{"id":"https://openalex.org/C117978034","wikidata":"https://www.wikidata.org/wiki/Q5422192","display_name":"Extractor","level":2,"score":0.7278834581375122},{"id":"https://openalex.org/C140642157","wikidata":"https://www.wikidata.org/wiki/Q1623338","display_name":"Pseudorandom number generator","level":2,"score":0.6656871438026428},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.6500436663627625},{"id":"https://openalex.org/C2778113609","wikidata":"https://www.wikidata.org/wiki/Q10897","display_name":"Lambda","level":2,"score":0.6159253716468811},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6123456358909607},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.506674587726593},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4988977909088135},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4745909869670868},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.45255246758461},{"id":"https://openalex.org/C2777894999","wikidata":"https://www.wikidata.org/wiki/Q4781758","display_name":"Approx","level":2,"score":0.42182624340057373},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4157399535179138},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3214966356754303},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2817928194999695},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11172965168952942},{"id":"https://openalex.org/C21880701","wikidata":"https://www.wikidata.org/wiki/Q2144042","display_name":"Process engineering","level":1,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"mag:2951497230","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/cs/0501075","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.429.6113","doi":null,"is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.429.6113","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://eccc.hpi-web.de/report/2005/071/download/","raw_type":"text"}],"best_oa_location":{"id":"mag:2951497230","doi":null,"is_oa":true,"landing_page_url":"https://arxiv.org/pdf/cs/0501075","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1505096007","https://openalex.org/W1563159456","https://openalex.org/W1797136128","https://openalex.org/W1967175855","https://openalex.org/W1998918799","https://openalex.org/W2015880590","https://openalex.org/W2021736779","https://openalex.org/W2022068408","https://openalex.org/W2024970686","https://openalex.org/W2027528470","https://openalex.org/W2035532007","https://openalex.org/W2061106457","https://openalex.org/W2104965768","https://openalex.org/W2119913278","https://openalex.org/W2154198326","https://openalex.org/W2164284862","https://openalex.org/W2295969706","https://openalex.org/W2401419959","https://openalex.org/W2402405523","https://openalex.org/W2406391618"],"related_works":["https://openalex.org/W2073136473","https://openalex.org/W1967175855","https://openalex.org/W2024970686","https://openalex.org/W2404388969","https://openalex.org/W3032048587","https://openalex.org/W2135453633","https://openalex.org/W7097398817","https://openalex.org/W2033385084","https://openalex.org/W95325373","https://openalex.org/W2394509056"],"abstract_inverted_index":{"Trevisan":[0],"has":[1],"shown":[2],"that":[3,19,45,55],"constructions":[4,20],"of":[5,21],"pseudo-random":[6,22],"generators":[7,23],"from":[8,24],"hard":[9],"functions":[10],"(the":[11,27],"Nisan-Wigderson":[12],"approach)":[13,29],"also":[14],"produce":[15],"extractors.":[16],"We":[17],"show":[18],"one-way":[25],"permutations":[26],"Blum-Micali-Yao":[28],"can":[30],"be":[31],"used":[32],"for":[33,77,85],"building":[34],"extractors":[35,44,75],"as":[36],"well.":[37],"Using":[38],"this":[39],"new":[40],"technique":[41],"we":[42],"build":[43],"do":[46],"not":[47],"use":[48],"designs":[49],"and":[50,54,59,96],"polynomial-based":[51],"error-correcting":[52],"codes":[53],"are":[56],"very":[57],"simple":[58],"efficient.":[60],"For":[61],"example,":[62],"one":[63],"extractor":[64],"produces":[65],"each":[66],"output":[67,98],"bit":[68],"separately":[69],"in":[70],"$O(\\log^2":[71,94],"n)$":[72],"time.":[73],"These":[74],"work":[76],"weak":[78],"sources":[79],"with":[80],"min":[81],"entropy":[82],"$\\lambda":[83,88],"n$,":[84],"arbitrary":[86],"constant":[87],">":[89],"0$,":[90],"have":[91],"seed":[92],"length":[93,99],"n)$,":[95],"their":[97],"is":[100],"$\\approx":[101],"n^{\\lambda/3}$.":[102]},"counts_by_year":[],"updated_date":"2026-09-26T08:19:03.415552","created_date":"2019-06-27T00:00:00"}