{"id":"https://openalex.org/W122001617","doi":"https://doi.org/10.1007/978-3-642-02295-1_14","title":"Inapproximability Results for Computational Problems on Lattices","display_name":"Inapproximability Results for Computational Problems on Lattices","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W122001617","doi":"https://doi.org/10.1007/978-3-642-02295-1_14","mag":"122001617"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-02295-1_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-02295-1_14","pdf_url":null,"source":{"id":"https://openalex.org/S4210195952","display_name":"Information security and cryptography","issn_l":"1619-7100","issn":["1619-7100","2197-845X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Security and Cryptography","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/A5067917669","display_name":"Subhash Khot","orcid":"https://orcid.org/0009-0007-9246-4011"},"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":"Subhash Khot","raw_affiliation_strings":["New York University, New York, NY, 10012, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"New York University, New York, NY, 10012, USA","institution_ids":["https://openalex.org/I57206974"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5067917669"],"corresponding_institution_ids":["https://openalex.org/I57206974"],"apc_list":null,"apc_paid":null,"fwci":1.7757,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.85059645,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"453","last_page":"473"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9983000159263611,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9945999979972839,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/basis","display_name":"Basis (linear algebra)","score":0.5270783305168152},{"id":"https://openalex.org/keywords/preprocessor","display_name":"Preprocessor","score":0.5060831904411316},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.49624568223953247},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4778599143028259},{"id":"https://openalex.org/keywords/lattice-problem","display_name":"Lattice problem","score":0.4150456190109253},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.37288159132003784},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.36002659797668457},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3223786950111389},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.1336497962474823},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.04426279664039612},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.0441441535949707}],"concepts":[{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.5270783305168152},{"id":"https://openalex.org/C34736171","wikidata":"https://www.wikidata.org/wiki/Q918333","display_name":"Preprocessor","level":2,"score":0.5060831904411316},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.49624568223953247},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4778599143028259},{"id":"https://openalex.org/C168482242","wikidata":"https://www.wikidata.org/wiki/Q6497128","display_name":"Lattice problem","level":3,"score":0.4150456190109253},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.37288159132003784},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.36002659797668457},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3223786950111389},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.1336497962474823},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.04426279664039612},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.0441441535949707}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-02295-1_14","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-02295-1_14","pdf_url":null,"source":{"id":"https://openalex.org/S4210195952","display_name":"Information security and cryptography","issn_l":"1619-7100","issn":["1619-7100","2197-845X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Information Security and Cryptography","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":51,"referenced_works":["https://openalex.org/W1662048","https://openalex.org/W57720693","https://openalex.org/W149470655","https://openalex.org/W337358633","https://openalex.org/W1485280854","https://openalex.org/W1499237070","https://openalex.org/W1536948141","https://openalex.org/W1583211461","https://openalex.org/W1788833175","https://openalex.org/W1822243375","https://openalex.org/W1966034053","https://openalex.org/W1970259241","https://openalex.org/W1973270757","https://openalex.org/W1976456789","https://openalex.org/W1977195026","https://openalex.org/W1982051149","https://openalex.org/W2000333212","https://openalex.org/W2001093624","https://openalex.org/W2008930715","https://openalex.org/W2012589104","https://openalex.org/W2013794527","https://openalex.org/W2015281423","https://openalex.org/W2019578639","https://openalex.org/W2026129593","https://openalex.org/W2037426925","https://openalex.org/W2050689197","https://openalex.org/W2056492141","https://openalex.org/W2060296335","https://openalex.org/W2077244027","https://openalex.org/W2097678797","https://openalex.org/W2101362102","https://openalex.org/W2114616381","https://openalex.org/W2122215811","https://openalex.org/W2132050984","https://openalex.org/W2141040012","https://openalex.org/W2142048307","https://openalex.org/W2147664666","https://openalex.org/W2148352980","https://openalex.org/W2150780437","https://openalex.org/W2151241472","https://openalex.org/W2155178472","https://openalex.org/W2341366607","https://openalex.org/W2517177595","https://openalex.org/W2986418635","https://openalex.org/W3014312596","https://openalex.org/W3144422206","https://openalex.org/W3217775779","https://openalex.org/W4246973793","https://openalex.org/W6632142450","https://openalex.org/W6681106402","https://openalex.org/W6681672574"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2949749387","https://openalex.org/W2405098260","https://openalex.org/W1597211008","https://openalex.org/W2397288865","https://openalex.org/W2160639384","https://openalex.org/W2980963558","https://openalex.org/W3112306103","https://openalex.org/W1765611343","https://openalex.org/W2368524271"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}