{"id":"https://openalex.org/W2108860006","doi":"https://doi.org/10.1007/978-3-540-85363-3_39","title":"Breaking the \u03b5-Soundness Bound of the Linearity Test over GF(2)","display_name":"Breaking the \u03b5-Soundness Bound of the Linearity Test over GF(2)","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W2108860006","doi":"https://doi.org/10.1007/978-3-540-85363-3_39","mag":"2108860006"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-85363-3_39","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85363-3_39","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/A5109110331","display_name":"Tali Kaufman","orcid":null},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Tali Kaufman","raw_affiliation_strings":["IAS, Princeton, NJ 08540, USA","IAS, Princeton, USA NJ 08540#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"IAS, Princeton, NJ 08540, USA","institution_ids":[]},{"raw_affiliation_string":"IAS, Princeton, USA NJ 08540#TAB#","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5044662173","display_name":"Simon Litsyn","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Simon Litsyn","raw_affiliation_strings":["Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv, 69978, Israel","Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv, Israel 69978"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv, 69978, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Department of Electrical Engineering-Systems, Tel Aviv University, Tel Aviv, Israel 69978","institution_ids":["https://openalex.org/I16391192"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036466084","display_name":"Ning Xie","orcid":"https://orcid.org/0000-0002-1509-464X"},"institutions":[{"id":"https://openalex.org/I63966007","display_name":"Massachusetts Institute of Technology","ror":"https://ror.org/042nb2s44","country_code":"US","type":"education","lineage":["https://openalex.org/I63966007"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ning Xie","raw_affiliation_strings":["CSAIL, MIT, Cambridge, MA 02139, USA","CSAIL, MIT, Cambridge, USA MA 02139"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CSAIL, MIT, Cambridge, MA 02139, USA","institution_ids":[]},{"raw_affiliation_string":"CSAIL, MIT, Cambridge, USA MA 02139","institution_ids":["https://openalex.org/I63966007"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.5365,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.81498079,"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":"498","last_page":"511"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9973000288009644,"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":0.9973000288009644,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9919000267982483,"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/T10237","display_name":"Cryptography and Data Security","score":0.9902999997138977,"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/soundness","display_name":"Soundness","score":0.9550999402999878},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.7521752715110779},{"id":"https://openalex.org/keywords/test","display_name":"Test (biology)","score":0.5782034993171692},{"id":"https://openalex.org/keywords/linearity","display_name":"Linearity","score":0.5489138960838318},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.359447181224823},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.34510183334350586},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.3288261592388153},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.32805711030960083},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.17468002438545227},{"id":"https://openalex.org/keywords/electrical-engineering","display_name":"Electrical engineering","score":0.11780959367752075},{"id":"https://openalex.org/keywords/botany","display_name":"Botany","score":0.05328187346458435}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.9550999402999878},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7521752715110779},{"id":"https://openalex.org/C2777267654","wikidata":"https://www.wikidata.org/wiki/Q3519023","display_name":"Test (biology)","level":2,"score":0.5782034993171692},{"id":"https://openalex.org/C77170095","wikidata":"https://www.wikidata.org/wiki/Q1753188","display_name":"Linearity","level":2,"score":0.5489138960838318},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.359447181224823},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.34510183334350586},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.3288261592388153},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.32805711030960083},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.17468002438545227},{"id":"https://openalex.org/C119599485","wikidata":"https://www.wikidata.org/wiki/Q43035","display_name":"Electrical engineering","level":1,"score":0.11780959367752075},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.05328187346458435},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-85363-3_39","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-85363-3_39","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.634.8306","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.634.8306","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/2007/098/download/","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":37,"referenced_works":["https://openalex.org/W104148001","https://openalex.org/W609902030","https://openalex.org/W1532594152","https://openalex.org/W1585475679","https://openalex.org/W1936868491","https://openalex.org/W1970630090","https://openalex.org/W1975810219","https://openalex.org/W1983510457","https://openalex.org/W1991006936","https://openalex.org/W1993625811","https://openalex.org/W1997855358","https://openalex.org/W1999032440","https://openalex.org/W2002864099","https://openalex.org/W2018925011","https://openalex.org/W2064334110","https://openalex.org/W2068634831","https://openalex.org/W2087964954","https://openalex.org/W2091921997","https://openalex.org/W2097206148","https://openalex.org/W2108900323","https://openalex.org/W2111385661","https://openalex.org/W2113121172","https://openalex.org/W2134839489","https://openalex.org/W2141815340","https://openalex.org/W2144461322","https://openalex.org/W2146261818","https://openalex.org/W2152221184","https://openalex.org/W2155600383","https://openalex.org/W2170716519","https://openalex.org/W2202947145","https://openalex.org/W2242669280","https://openalex.org/W2335400162","https://openalex.org/W2396166977","https://openalex.org/W3004537778","https://openalex.org/W4231935875","https://openalex.org/W4234829843","https://openalex.org/W4256317935"],"related_works":["https://openalex.org/W1511249877","https://openalex.org/W1578828174","https://openalex.org/W2950376466","https://openalex.org/W2000943029","https://openalex.org/W2002878601","https://openalex.org/W2293004035","https://openalex.org/W18781025","https://openalex.org/W2952519015","https://openalex.org/W188034648","https://openalex.org/W2155728227"],"abstract_inverted_index":null,"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}