{"id":"https://openalex.org/W22242098","doi":"https://doi.org/10.1007/978-3-642-02295-1_3","title":"Probabilistic Analyses of Lattice Reduction Algorithms","display_name":"Probabilistic Analyses of Lattice Reduction Algorithms","publication_year":2009,"publication_date":"2009-01-01","ids":{"openalex":"https://openalex.org/W22242098","doi":"https://doi.org/10.1007/978-3-642-02295-1_3","mag":"22242098"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-02295-1_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-02295-1_3","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/A5082150310","display_name":"Brigitte Vall\u00e9e","orcid":"https://orcid.org/0000-0002-2794-6811"},"institutions":[{"id":"https://openalex.org/I194210350","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'Ing\u00e9nieurs de Caen","ror":"https://ror.org/01fpqqe90","country_code":"FR","type":"education","lineage":["https://openalex.org/I194210350","https://openalex.org/I4210105918"]},{"id":"https://openalex.org/I4210110254","display_name":"Laboratoire de Physique Corpusculaire de Caen","ror":"https://ror.org/022txr781","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210110254","https://openalex.org/I4210133362","https://openalex.org/I98702875"]},{"id":"https://openalex.org/I98702875","display_name":"Universit\u00e9 de Caen Normandie","ror":"https://ror.org/051kpcy16","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210105918","https://openalex.org/I98702875"]},{"id":"https://openalex.org/I4210139483","display_name":"GREYC","ror":"https://ror.org/043749971","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210105918","https://openalex.org/I4210105918","https://openalex.org/I4210139483","https://openalex.org/I4210159245","https://openalex.org/I98702875"]},{"id":"https://openalex.org/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Brigitte Vall\u00e9e","raw_affiliation_strings":["Dept. Informatique, Universit\u00e9 de Caen, Caen CX, 14032, France","Laboratoire GREYC, CNRS UMR 6072, Universit\u00e9 de Caen and ENSICAEN, F-14032, Caen, France"],"affiliations":[{"raw_affiliation_string":"Dept. Informatique, Universit\u00e9 de Caen, Caen CX, 14032, France","institution_ids":["https://openalex.org/I98702875","https://openalex.org/I4210110254"]},{"raw_affiliation_string":"Laboratoire GREYC, CNRS UMR 6072, Universit\u00e9 de Caen and ENSICAEN, F-14032, Caen, France","institution_ids":["https://openalex.org/I194210350","https://openalex.org/I4210139483","https://openalex.org/I98702875","https://openalex.org/I1294671590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056616113","display_name":"Antonio Vera","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Antonio Vera","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5082150310"],"corresponding_institution_ids":["https://openalex.org/I1294671590","https://openalex.org/I194210350","https://openalex.org/I4210110254","https://openalex.org/I4210139483","https://openalex.org/I98702875"],"apc_list":null,"apc_paid":null,"fwci":0.8683,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.71822255,"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":"71","last_page":"143"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9977999925613403,"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":0.9977999925613403,"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":0.995199978351593,"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/T11130","display_name":"Coding theory and cryptography","score":0.9932000041007996,"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/lattice-reduction","display_name":"Lattice reduction","score":0.8665881156921387},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6926096677780151},{"id":"https://openalex.org/keywords/probabilistic-analysis-of-algorithms","display_name":"Probabilistic analysis of algorithms","score":0.6469998955726624},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6406228542327881},{"id":"https://openalex.org/keywords/gauss","display_name":"Gauss","score":0.6347920894622803},{"id":"https://openalex.org/keywords/probabilistic-logic","display_name":"Probabilistic logic","score":0.5659674406051636},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.5291426777839661},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.524362325668335},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4174795150756836},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40752682089805603},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.14493831992149353},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.12864726781845093},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.12081462144851685},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.0942804217338562}],"concepts":[{"id":"https://openalex.org/C44274781","wikidata":"https://www.wikidata.org/wiki/Q6497132","display_name":"Lattice reduction","level":4,"score":0.8665881156921387},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6926096677780151},{"id":"https://openalex.org/C24404364","wikidata":"https://www.wikidata.org/wiki/Q7246846","display_name":"Probabilistic analysis of algorithms","level":3,"score":0.6469998955726624},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6406228542327881},{"id":"https://openalex.org/C161794534","wikidata":"https://www.wikidata.org/wiki/Q177493","display_name":"Gauss","level":2,"score":0.6347920894622803},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5659674406051636},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.5291426777839661},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.524362325668335},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4174795150756836},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40752682089805603},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.14493831992149353},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.12864726781845093},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.12081462144851685},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0942804217338562},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C54197355","wikidata":"https://www.wikidata.org/wiki/Q5782992","display_name":"Beamforming","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-642-02295-1_3","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-02295-1_3","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W10068438","https://openalex.org/W18426350","https://openalex.org/W340107117","https://openalex.org/W348047409","https://openalex.org/W409776672","https://openalex.org/W838321193","https://openalex.org/W1486106966","https://openalex.org/W1493353711","https://openalex.org/W1508057339","https://openalex.org/W1532770887","https://openalex.org/W1542232367","https://openalex.org/W1575390125","https://openalex.org/W1577571951","https://openalex.org/W1585924679","https://openalex.org/W1590252182","https://openalex.org/W1601924177","https://openalex.org/W1833653714","https://openalex.org/W1861663015","https://openalex.org/W1971293320","https://openalex.org/W1971749553","https://openalex.org/W1981142474","https://openalex.org/W1989510734","https://openalex.org/W1993445859","https://openalex.org/W1995348593","https://openalex.org/W2006804687","https://openalex.org/W2023560340","https://openalex.org/W2025525128","https://openalex.org/W2031168664","https://openalex.org/W2034379372","https://openalex.org/W2046699624","https://openalex.org/W2049406057","https://openalex.org/W2056364851","https://openalex.org/W2057334623","https://openalex.org/W2064749085","https://openalex.org/W2081192873","https://openalex.org/W2101040389","https://openalex.org/W2107875484","https://openalex.org/W2109879098","https://openalex.org/W2121832749","https://openalex.org/W2141040012","https://openalex.org/W2149789050","https://openalex.org/W2160299629","https://openalex.org/W2324303215","https://openalex.org/W2337959856","https://openalex.org/W2408366326","https://openalex.org/W3020892139","https://openalex.org/W4213035716","https://openalex.org/W4246269021"],"related_works":["https://openalex.org/W830096938","https://openalex.org/W2109606716","https://openalex.org/W2331935704","https://openalex.org/W2030292806","https://openalex.org/W2189202191","https://openalex.org/W2177346860","https://openalex.org/W2145856894","https://openalex.org/W1603360336","https://openalex.org/W2903940728","https://openalex.org/W2494523064"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
