{"id":"https://openalex.org/W90648621","doi":"https://doi.org/10.1007/978-3-642-28914-9_27","title":"Counterexamples to Hardness Amplification beyond Negligible","display_name":"Counterexamples to Hardness Amplification beyond Negligible","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W90648621","doi":"https://doi.org/10.1007/978-3-642-28914-9_27","mag":"90648621"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-28914-9_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-28914-9_27","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":"book-chapter","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/A5012298614","display_name":"Yevgeniy Dodis","orcid":"https://orcid.org/0000-0003-1013-6318"},"institutions":[{"id":"https://openalex.org/I57206974","display_name":"New York University","ror":"https://ror.org/0190ak572","country_code":"US","type":"education","lineage":["https://openalex.org/I57206974"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Yevgeniy Dodis","raw_affiliation_strings":["New York University (NYU), USA","New York University (NYU"],"affiliations":[{"raw_affiliation_string":"New York University (NYU), USA","institution_ids":["https://openalex.org/I57206974"]},{"raw_affiliation_string":"New York University (NYU","institution_ids":["https://openalex.org/I57206974"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100661347","display_name":"Abhishek Jain","orcid":"https://orcid.org/0000-0002-3572-7643"},"institutions":[{"id":"https://openalex.org/I161318765","display_name":"University of California, Los Angeles","ror":"https://ror.org/046rm7j60","country_code":"US","type":"education","lineage":["https://openalex.org/I161318765"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abhishek Jain","raw_affiliation_strings":["University of California (UCLA), Los Angeles, USA","University of California (UCLA), Los Angeles#TAB#"],"affiliations":[{"raw_affiliation_string":"University of California (UCLA), Los Angeles, USA","institution_ids":["https://openalex.org/I161318765"]},{"raw_affiliation_string":"University of California (UCLA), Los Angeles#TAB#","institution_ids":["https://openalex.org/I161318765"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5102871690","display_name":"Tal Moran","orcid":"https://orcid.org/0000-0002-1456-0899"},"institutions":[{"id":"https://openalex.org/I138898306","display_name":"Reichman University","ror":"https://ror.org/01px5cv07","country_code":"IL","type":"education","lineage":["https://openalex.org/I138898306"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Tal Moran","raw_affiliation_strings":["Interdisciplinary Center (IDC), Herzliya, Israel","Interdisciplinary Center (IDC) Herzliya, Israel"],"affiliations":[{"raw_affiliation_string":"Interdisciplinary Center (IDC), Herzliya, Israel","institution_ids":["https://openalex.org/I138898306"]},{"raw_affiliation_string":"Interdisciplinary Center (IDC) Herzliya, Israel","institution_ids":["https://openalex.org/I138898306"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5058929075","display_name":"Daniel Wichs","orcid":"https://orcid.org/0000-0002-4981-1643"},"institutions":[{"id":"https://openalex.org/I1341412227","display_name":"IBM (United States)","ror":"https://ror.org/05hh8d621","country_code":"US","type":"company","lineage":["https://openalex.org/I1341412227"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Daniel Wichs","raw_affiliation_strings":["IBM Research, T.J. Watson, USA","IBM Research - T.J. Watson#TAB#"],"affiliations":[{"raw_affiliation_string":"IBM Research, T.J. Watson, USA","institution_ids":["https://openalex.org/I1341412227"]},{"raw_affiliation_string":"IBM Research - T.J. Watson#TAB#","institution_ids":["https://openalex.org/I1341412227"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5012298614"],"corresponding_institution_ids":["https://openalex.org/I57206974"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.9516,"has_fulltext":false,"cited_by_count":15,"citation_normalized_percentile":{"value":0.74048869,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"476","last_page":"493"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data 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"}},"topics":[{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data 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"}},{"id":"https://openalex.org/T11424","display_name":"Security and Verification in Computing","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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.7754241824150085},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.6380171775817871},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5733683705329895},{"id":"https://openalex.org/keywords/repetition","display_name":"Repetition (rhetorical device)","score":0.5056705474853516},{"id":"https://openalex.org/keywords/direct-product","display_name":"Direct product","score":0.5020735263824463},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.49472662806510925},{"id":"https://openalex.org/keywords/hardness-of-approximation","display_name":"Hardness of approximation","score":0.479850709438324},{"id":"https://openalex.org/keywords/verifiable-secret-sharing","display_name":"Verifiable secret sharing","score":0.431357741355896},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4034424424171448},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3209919333457947},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3037336468696594},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.10388016700744629},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.07424098253250122}],"concepts":[{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.7754241824150085},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.6380171775817871},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5733683705329895},{"id":"https://openalex.org/C2776141515","wikidata":"https://www.wikidata.org/wiki/Q1274479","display_name":"Repetition (rhetorical device)","level":2,"score":0.5056705474853516},{"id":"https://openalex.org/C58193220","wikidata":"https://www.wikidata.org/wiki/Q1778193","display_name":"Direct product","level":2,"score":0.5020735263824463},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.49472662806510925},{"id":"https://openalex.org/C112955886","wikidata":"https://www.wikidata.org/wiki/Q5656275","display_name":"Hardness of approximation","level":3,"score":0.479850709438324},{"id":"https://openalex.org/C85847156","wikidata":"https://www.wikidata.org/wiki/Q59015987","display_name":"Verifiable secret sharing","level":3,"score":0.431357741355896},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4034424424171448},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3209919333457947},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3037336468696594},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.10388016700744629},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.07424098253250122},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-28914-9_27","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-28914-9_27","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":41,"referenced_works":["https://openalex.org/W1480802466","https://openalex.org/W1490590996","https://openalex.org/W1503968701","https://openalex.org/W1516703959","https://openalex.org/W1518187966","https://openalex.org/W1526379157","https://openalex.org/W1540076154","https://openalex.org/W1548880861","https://openalex.org/W1562964171","https://openalex.org/W1582240307","https://openalex.org/W1583637740","https://openalex.org/W1588518948","https://openalex.org/W1589423906","https://openalex.org/W1600808341","https://openalex.org/W1607318501","https://openalex.org/W1840639073","https://openalex.org/W1877693678","https://openalex.org/W1972464518","https://openalex.org/W1985263989","https://openalex.org/W2021733015","https://openalex.org/W2027471022","https://openalex.org/W2042585615","https://openalex.org/W2061106457","https://openalex.org/W2074929468","https://openalex.org/W2075091070","https://openalex.org/W2089800914","https://openalex.org/W2091440530","https://openalex.org/W2102421735","https://openalex.org/W2107324709","https://openalex.org/W2110019059","https://openalex.org/W2111749650","https://openalex.org/W2128292595","https://openalex.org/W2134751726","https://openalex.org/W2151413173","https://openalex.org/W2158889011","https://openalex.org/W2160361171","https://openalex.org/W2160900264","https://openalex.org/W2170795775","https://openalex.org/W2294870549","https://openalex.org/W2568739026","https://openalex.org/W3150645827"],"related_works":["https://openalex.org/W2349952486","https://openalex.org/W1489260687","https://openalex.org/W3204670144","https://openalex.org/W2163101548","https://openalex.org/W1988934358","https://openalex.org/W2587222766","https://openalex.org/W4389574038","https://openalex.org/W4387718369","https://openalex.org/W3014450817","https://openalex.org/W1547366466"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}