{"id":"https://openalex.org/W2593939958","doi":"https://doi.org/10.1007/978-3-319-56614-6_4","title":"On Dual Lattice Attacks Against Small-Secret LWE and Parameter Choices in HElib and SEAL","display_name":"On Dual Lattice Attacks Against Small-Secret LWE and Parameter Choices in HElib and SEAL","publication_year":2017,"publication_date":"2017-01-01","ids":{"openalex":"https://openalex.org/W2593939958","doi":"https://doi.org/10.1007/978-3-319-56614-6_4","mag":"2593939958"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-319-56614-6_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-56614-6_4","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/A5066696423","display_name":"M. Albrecht","orcid":"https://orcid.org/0000-0003-1835-052X"},"institutions":[{"id":"https://openalex.org/I184558857","display_name":"Royal Holloway University of London","ror":"https://ror.org/04g2vpn86","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I184558857"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"Martin R. Albrecht","raw_affiliation_strings":["Information Security Group, Royal Holloway, University of London, Egham, Surrey, TW20 0EX, UK"],"affiliations":[{"raw_affiliation_string":"Information Security Group, Royal Holloway, University of London, Egham, Surrey, TW20 0EX, UK","institution_ids":["https://openalex.org/I184558857"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5066696423"],"corresponding_institution_ids":["https://openalex.org/I184558857"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":18.9326,"has_fulltext":false,"cited_by_count":128,"citation_normalized_percentile":{"value":0.99587496,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":null,"issue":null,"first_page":"103","last_page":"129"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9980999827384949,"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":0.9952999949455261,"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/homomorphic-encryption","display_name":"Homomorphic encryption","score":0.719906747341156},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.7012451887130737},{"id":"https://openalex.org/keywords/learning-with-errors","display_name":"Learning with errors","score":0.6568223237991333},{"id":"https://openalex.org/keywords/exponent","display_name":"Exponent","score":0.5880851745605469},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5805169343948364},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5780287981033325},{"id":"https://openalex.org/keywords/lattice-problem","display_name":"Lattice problem","score":0.5299084186553955},{"id":"https://openalex.org/keywords/security-parameter","display_name":"Security parameter","score":0.5086856484413147},{"id":"https://openalex.org/keywords/cryptography","display_name":"Cryptography","score":0.48896968364715576},{"id":"https://openalex.org/keywords/hamming-weight","display_name":"Hamming weight","score":0.4728389382362366},{"id":"https://openalex.org/keywords/logarithm","display_name":"Logarithm","score":0.4354536831378937},{"id":"https://openalex.org/keywords/encryption","display_name":"Encryption","score":0.4348090589046478},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.43355095386505127},{"id":"https://openalex.org/keywords/key-size","display_name":"Key size","score":0.4288439154624939},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40785545110702515},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.39025184512138367},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34784793853759766},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30334773659706116},{"id":"https://openalex.org/keywords/public-key-cryptography","display_name":"Public-key cryptography","score":0.28152018785476685},{"id":"https://openalex.org/keywords/computer-security","display_name":"Computer security","score":0.23191869258880615},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.22883236408233643},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.1229129433631897}],"concepts":[{"id":"https://openalex.org/C158338273","wikidata":"https://www.wikidata.org/wiki/Q2154943","display_name":"Homomorphic encryption","level":3,"score":0.719906747341156},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.7012451887130737},{"id":"https://openalex.org/C2779014939","wikidata":"https://www.wikidata.org/wiki/Q6510239","display_name":"Learning with errors","level":3,"score":0.6568223237991333},{"id":"https://openalex.org/C2780388253","wikidata":"https://www.wikidata.org/wiki/Q5421508","display_name":"Exponent","level":2,"score":0.5880851745605469},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5805169343948364},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5780287981033325},{"id":"https://openalex.org/C168482242","wikidata":"https://www.wikidata.org/wiki/Q6497128","display_name":"Lattice problem","level":3,"score":0.5299084186553955},{"id":"https://openalex.org/C2776711565","wikidata":"https://www.wikidata.org/wiki/Q7445058","display_name":"Security parameter","level":3,"score":0.5086856484413147},{"id":"https://openalex.org/C178489894","wikidata":"https://www.wikidata.org/wiki/Q8789","display_name":"Cryptography","level":2,"score":0.48896968364715576},{"id":"https://openalex.org/C63361517","wikidata":"https://www.wikidata.org/wiki/Q5645805","display_name":"Hamming weight","level":5,"score":0.4728389382362366},{"id":"https://openalex.org/C39927690","wikidata":"https://www.wikidata.org/wiki/Q11197","display_name":"Logarithm","level":2,"score":0.4354536831378937},{"id":"https://openalex.org/C148730421","wikidata":"https://www.wikidata.org/wiki/Q141090","display_name":"Encryption","level":2,"score":0.4348090589046478},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.43355095386505127},{"id":"https://openalex.org/C47750902","wikidata":"https://www.wikidata.org/wiki/Q1557574","display_name":"Key size","level":4,"score":0.4288439154624939},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40785545110702515},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.39025184512138367},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34784793853759766},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30334773659706116},{"id":"https://openalex.org/C203062551","wikidata":"https://www.wikidata.org/wiki/Q201339","display_name":"Public-key cryptography","level":3,"score":0.28152018785476685},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.23191869258880615},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.22883236408233643},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.1229129433631897},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"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/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-319-56614-6_4","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-319-56614-6_4","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":[{"id":"https://openalex.org/G7766065054","display_name":null,"funder_award_id":"EP/L018543/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"},{"id":"https://openalex.org/G8879269090","display_name":null,"funder_award_id":"EP/P009417/1","funder_id":"https://openalex.org/F4320334627","funder_display_name":"Engineering and Physical Sciences Research Council"}],"funders":[{"id":"https://openalex.org/F4320334627","display_name":"Engineering and Physical Sciences Research Council","ror":"https://ror.org/0439y7842"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":61,"referenced_works":["https://openalex.org/W31130112","https://openalex.org/W56544557","https://openalex.org/W70060353","https://openalex.org/W80562455","https://openalex.org/W87154849","https://openalex.org/W139993337","https://openalex.org/W148211867","https://openalex.org/W236632755","https://openalex.org/W811113453","https://openalex.org/W851707179","https://openalex.org/W924029577","https://openalex.org/W1447686308","https://openalex.org/W1504529269","https://openalex.org/W1531850752","https://openalex.org/W1547036183","https://openalex.org/W1553054560","https://openalex.org/W1570438493","https://openalex.org/W1572157978","https://openalex.org/W1595771334","https://openalex.org/W1598269861","https://openalex.org/W1760474993","https://openalex.org/W1761303171","https://openalex.org/W1953288577","https://openalex.org/W1992282993","https://openalex.org/W2005059149","https://openalex.org/W2007466965","https://openalex.org/W2048994663","https://openalex.org/W2061949491","https://openalex.org/W2089477764","https://openalex.org/W2098290658","https://openalex.org/W2106970188","https://openalex.org/W2113333997","https://openalex.org/W2123314859","https://openalex.org/W2124407183","https://openalex.org/W2142048307","https://openalex.org/W2152926062","https://openalex.org/W2162903136","https://openalex.org/W2183439951","https://openalex.org/W2201294065","https://openalex.org/W2226167778","https://openalex.org/W2233194383","https://openalex.org/W2295744963","https://openalex.org/W2397066487","https://openalex.org/W2398538644","https://openalex.org/W2400700555","https://openalex.org/W2401959250","https://openalex.org/W2463363166","https://openalex.org/W2477092523","https://openalex.org/W2494078997","https://openalex.org/W2514893051","https://openalex.org/W2519249189","https://openalex.org/W2573747521","https://openalex.org/W2577669919","https://openalex.org/W2592509728","https://openalex.org/W2780581388","https://openalex.org/W2952033682","https://openalex.org/W2962941363","https://openalex.org/W3028867652","https://openalex.org/W3029708612","https://openalex.org/W3203441933","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3029000946","https://openalex.org/W2007466965","https://openalex.org/W3030586724","https://openalex.org/W1979120705","https://openalex.org/W2061949491","https://openalex.org/W1491861813","https://openalex.org/W2330790303","https://openalex.org/W2951031027","https://openalex.org/W3193364942","https://openalex.org/W2593939958"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":10},{"year":2024,"cited_by_count":10},{"year":2023,"cited_by_count":12},{"year":2022,"cited_by_count":18},{"year":2021,"cited_by_count":11},{"year":2020,"cited_by_count":13},{"year":2019,"cited_by_count":19},{"year":2018,"cited_by_count":22},{"year":2017,"cited_by_count":13}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}