{"id":"https://openalex.org/W1528583527","doi":"https://doi.org/10.1007/978-3-540-74240-1_35","title":"Impossibility Results on Weakly Black-Box Hardness Amplification","display_name":"Impossibility Results on Weakly Black-Box Hardness Amplification","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W1528583527","doi":"https://doi.org/10.1007/978-3-540-74240-1_35","mag":"1528583527"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-74240-1_35","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-74240-1_35","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","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/A5102911765","display_name":"Chi-Jen Lu","orcid":"https://orcid.org/0000-0003-0835-1190"},"institutions":[{"id":"https://openalex.org/I4210098366","display_name":"Institute of Information Science, Academia Sinica","ror":"https://ror.org/00z83z196","country_code":"TW","type":"facility","lineage":["https://openalex.org/I4210098366","https://openalex.org/I84653119"]},{"id":"https://openalex.org/I84653119","display_name":"Academia Sinica","ror":"https://ror.org/05bxb3784","country_code":"TW","type":"facility","lineage":["https://openalex.org/I84653119"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Chi-Jen Lu","raw_affiliation_strings":["Institute of Information Science, Academia Sinica, Taipei, Taiwan","Institute of Information Science,Academia Sinica,,Taipei,,Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Institute of Information Science, Academia Sinica, Taipei, Taiwan","institution_ids":["https://openalex.org/I4210098366"]},{"raw_affiliation_string":"Institute of Information Science,Academia Sinica,,Taipei,,Taiwan","institution_ids":["https://openalex.org/I84653119"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5027557127","display_name":"Shi\u2010Chun Tsai","orcid":"https://orcid.org/0000-0002-0085-0377"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Shi-Chun Tsai","raw_affiliation_strings":["Department of Computer Science, National Chiao-Tung University, Hsinchu, Taiwan","Department of Computer Science; National Chiao Tung University; Hsinchu; Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Chiao-Tung University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"Department of Computer Science; National Chiao Tung University; Hsinchu; Taiwan","institution_ids":["https://openalex.org/I148366613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053176204","display_name":"Hsin-Lung Wu","orcid":"https://orcid.org/0000-0002-1129-3668"},"institutions":[{"id":"https://openalex.org/I148366613","display_name":"National Yang Ming Chiao Tung University","ror":"https://ror.org/00se2k293","country_code":"TW","type":"education","lineage":["https://openalex.org/I148366613"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Hsin-Lung Wu","raw_affiliation_strings":["Department of Computer Science, National Chiao-Tung University, Hsinchu, Taiwan","Department of Computer Science; National Chiao Tung University; Hsinchu; Taiwan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Chiao-Tung University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I148366613"]},{"raw_affiliation_string":"Department of Computer Science; National Chiao Tung University; Hsinchu; Taiwan","institution_ids":["https://openalex.org/I148366613"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.04238179,"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":"400","last_page":"411"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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":0.9987999796867371,"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/T12288","display_name":"Optimization and Search Problems","score":0.9983999729156494,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/impossibility","display_name":"Impossibility","score":0.701913058757782},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5761092901229858},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.5505670309066772},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.507628321647644},{"id":"https://openalex.org/keywords/black-box","display_name":"Black box","score":0.4951845705509186},{"id":"https://openalex.org/keywords/indentation-hardness","display_name":"Indentation hardness","score":0.4916430115699768},{"id":"https://openalex.org/keywords/vickers-hardness-test","display_name":"Vickers hardness test","score":0.4428863823413849},{"id":"https://openalex.org/keywords/computable-function","display_name":"Computable function","score":0.4313647747039795},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.39491790533065796},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3737483620643616},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.30788856744766235},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.16795998811721802},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.09211409091949463},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.08441191911697388},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.06819096207618713},{"id":"https://openalex.org/keywords/microstructure","display_name":"Microstructure","score":0.053766071796417236}],"concepts":[{"id":"https://openalex.org/C2776261394","wikidata":"https://www.wikidata.org/wiki/Q315562","display_name":"Impossibility","level":2,"score":0.701913058757782},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5761092901229858},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.5505670309066772},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.507628321647644},{"id":"https://openalex.org/C94966114","wikidata":"https://www.wikidata.org/wiki/Q29256","display_name":"Black box","level":2,"score":0.4951845705509186},{"id":"https://openalex.org/C165720898","wikidata":"https://www.wikidata.org/wiki/Q3150000","display_name":"Indentation hardness","level":3,"score":0.4916430115699768},{"id":"https://openalex.org/C133392424","wikidata":"https://www.wikidata.org/wiki/Q223404","display_name":"Vickers hardness test","level":3,"score":0.4428863823413849},{"id":"https://openalex.org/C54271186","wikidata":"https://www.wikidata.org/wiki/Q1148456","display_name":"Computable function","level":2,"score":0.4313647747039795},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.39491790533065796},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3737483620643616},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.30788856744766235},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.16795998811721802},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.09211409091949463},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.08441191911697388},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.06819096207618713},{"id":"https://openalex.org/C87976508","wikidata":"https://www.wikidata.org/wiki/Q1498213","display_name":"Microstructure","level":2,"score":0.053766071796417236},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-540-74240-1_35","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-74240-1_35","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":34,"referenced_works":["https://openalex.org/W10078005","https://openalex.org/W1563159456","https://openalex.org/W1569649260","https://openalex.org/W1572772224","https://openalex.org/W1601391931","https://openalex.org/W1901622511","https://openalex.org/W1979479253","https://openalex.org/W1980327536","https://openalex.org/W1998918799","https://openalex.org/W2017290750","https://openalex.org/W2021736779","https://openalex.org/W2023915883","https://openalex.org/W2046812405","https://openalex.org/W2048284438","https://openalex.org/W2056099894","https://openalex.org/W2058859323","https://openalex.org/W2060270693","https://openalex.org/W2061106457","https://openalex.org/W2070437169","https://openalex.org/W2074876220","https://openalex.org/W2107324709","https://openalex.org/W2112962375","https://openalex.org/W2124619161","https://openalex.org/W2135453633","https://openalex.org/W2149273850","https://openalex.org/W2160403361","https://openalex.org/W2164284862","https://openalex.org/W2165293955","https://openalex.org/W2998808137","https://openalex.org/W4212956348","https://openalex.org/W4213009134","https://openalex.org/W4214936872","https://openalex.org/W4238262801","https://openalex.org/W4300577719"],"related_works":["https://openalex.org/W2384156839","https://openalex.org/W4321602641","https://openalex.org/W2394251275","https://openalex.org/W2011066616","https://openalex.org/W2188057145","https://openalex.org/W2028070978","https://openalex.org/W3003764762","https://openalex.org/W2087697067","https://openalex.org/W2389743943","https://openalex.org/W2170471682"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}