{"id":"https://openalex.org/W2795577861","doi":"https://doi.org/10.1007/978-3-319-89339-6_10","title":"Development of a Dual Version of\u00a0DeepBKZ and Its Application to\u00a0Solving the LWE Challenge","display_name":"Development of a Dual Version of\u00a0DeepBKZ and Its Application to\u00a0Solving the LWE Challenge","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2795577861","doi":"https://doi.org/10.1007/978-3-319-89339-6_10","mag":"2795577861"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-89339-6_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-89339-6_10","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/A5086472078","display_name":"Masaya Yasuda","orcid":"https://orcid.org/0000-0002-1534-5648"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Masaya Yasuda","raw_affiliation_strings":["Institute of Mathematics for Industry, Kyushu University, 744 Motooka Nishi-ku, Fukuoka, 819-0395, Japan"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics for Industry, Kyushu University, 744 Motooka Nishi-ku, Fukuoka, 819-0395, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5063646725","display_name":"Junpei Yamaguchi","orcid":null},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Junpei Yamaguchi","raw_affiliation_strings":["Graduate School of Mathematics, Kyushu University, Fukuoka, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Mathematics, Kyushu University, Fukuoka, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073820709","display_name":"Michiko Ooka","orcid":null},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Michiko Ooka","raw_affiliation_strings":["Faculty of Mathematics, Kyushu University, Fukuoka, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Kyushu University, Fukuoka, Japan","institution_ids":["https://openalex.org/I135598925"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5036412030","display_name":"Satoshi Nakamura","orcid":"https://orcid.org/0000-0002-7542-8859"},"institutions":[{"id":"https://openalex.org/I135598925","display_name":"Kyushu University","ror":"https://ror.org/00p4k0j84","country_code":"JP","type":"education","lineage":["https://openalex.org/I135598925"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Satoshi Nakamura","raw_affiliation_strings":["Faculty of Mathematics, Kyushu University, Fukuoka, Japan"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics, Kyushu University, Fukuoka, Japan","institution_ids":["https://openalex.org/I135598925"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5086472078"],"corresponding_institution_ids":["https://openalex.org/I135598925"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":1.9032,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.88440142,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":null,"issue":null,"first_page":"162","last_page":"182"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9987000226974487,"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":0.9987000226974487,"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/T10951","display_name":"Cryptographic Implementations and Security","score":0.9973000288009644,"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/T11130","display_name":"Coding theory and cryptography","score":0.9922000169754028,"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/enumeration","display_name":"Enumeration","score":0.7207739949226379},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.6343296766281128},{"id":"https://openalex.org/keywords/dual","display_name":"Dual (grammatical number)","score":0.6318796277046204},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6039512157440186},{"id":"https://openalex.org/keywords/lattice-reduction","display_name":"Lattice reduction","score":0.5133751630783081},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.5026702880859375},{"id":"https://openalex.org/keywords/cryptanalysis","display_name":"Cryptanalysis","score":0.49422720074653625},{"id":"https://openalex.org/keywords/pruning","display_name":"Pruning","score":0.4348730444908142},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.37979546189308167},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36829277873039246},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.36704516410827637},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32960283756256104},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.3260585069656372}],"concepts":[{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.7207739949226379},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.6343296766281128},{"id":"https://openalex.org/C2780980858","wikidata":"https://www.wikidata.org/wiki/Q110022","display_name":"Dual (grammatical number)","level":2,"score":0.6318796277046204},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6039512157440186},{"id":"https://openalex.org/C44274781","wikidata":"https://www.wikidata.org/wiki/Q6497132","display_name":"Lattice reduction","level":4,"score":0.5133751630783081},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.5026702880859375},{"id":"https://openalex.org/C181149355","wikidata":"https://www.wikidata.org/wiki/Q897511","display_name":"Cryptanalysis","level":3,"score":0.49422720074653625},{"id":"https://openalex.org/C108010975","wikidata":"https://www.wikidata.org/wiki/Q500094","display_name":"Pruning","level":2,"score":0.4348730444908142},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37979546189308167},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36829277873039246},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.36704516410827637},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32960283756256104},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.3260585069656372},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.0},{"id":"https://openalex.org/C142362112","wikidata":"https://www.wikidata.org/wiki/Q735","display_name":"Art","level":0,"score":0.0},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.0},{"id":"https://openalex.org/C124952713","wikidata":"https://www.wikidata.org/wiki/Q8242","display_name":"Literature","level":1,"score":0.0},{"id":"https://openalex.org/C6557445","wikidata":"https://www.wikidata.org/wiki/Q173113","display_name":"Agronomy","level":1,"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/C127162648","wikidata":"https://www.wikidata.org/wiki/Q16858953","display_name":"Channel (broadcasting)","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-89339-6_10","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-89339-6_10","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":25,"referenced_works":["https://openalex.org/W80562455","https://openalex.org/W139993337","https://openalex.org/W586944954","https://openalex.org/W1485280854","https://openalex.org/W1496801598","https://openalex.org/W1499237070","https://openalex.org/W1538714775","https://openalex.org/W1547036183","https://openalex.org/W1572157978","https://openalex.org/W1598269861","https://openalex.org/W1761303171","https://openalex.org/W1845765495","https://openalex.org/W1979160832","https://openalex.org/W2061949491","https://openalex.org/W2126483728","https://openalex.org/W2141040012","https://openalex.org/W2399848133","https://openalex.org/W2400700555","https://openalex.org/W2468486877","https://openalex.org/W2489545452","https://openalex.org/W2655646574","https://openalex.org/W2794426538","https://openalex.org/W2797641805","https://openalex.org/W4246746483","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W108845024","https://openalex.org/W4300125793","https://openalex.org/W2578985712","https://openalex.org/W2406961474","https://openalex.org/W2143566611","https://openalex.org/W2013740965","https://openalex.org/W3089223619","https://openalex.org/W4288849478","https://openalex.org/W2940752727","https://openalex.org/W1561797008"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":5},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}