{"id":"https://openalex.org/W2025038814","doi":"https://doi.org/10.1016/s0747-7171(87)80061-5","title":"A modification of the LLL reduction algorithm","display_name":"A modification of the LLL reduction algorithm","publication_year":1987,"publication_date":"1987-08-01","ids":{"openalex":"https://openalex.org/W2025038814","doi":"https://doi.org/10.1016/s0747-7171(87)80061-5","mag":"2025038814"},"language":"en","primary_location":{"id":"doi:10.1016/s0747-7171(87)80061-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0747-7171(87)80061-5","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Computation","raw_type":"journal-article"},"type":"article","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/A5040566925","display_name":"Michael Pohst","orcid":"https://orcid.org/0000-0002-1691-2675"},"institutions":[{"id":"https://openalex.org/I44260953","display_name":"Heinrich Heine University D\u00fcsseldorf","ror":"https://ror.org/024z2rq82","country_code":"DE","type":"education","lineage":["https://openalex.org/I44260953"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"M. Pohst","raw_affiliation_strings":["Mathematisches Institut, Universit\u00e4t D\u00fcsseldorf 4000 D\u00fcsseldorf FRG","Mathematisches Institut, Universit\u00e4t D\u00fcsseldorf 4000 D\u00fcsseldorf FRG#TAB#"],"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t D\u00fcsseldorf 4000 D\u00fcsseldorf FRG","institution_ids":["https://openalex.org/I44260953"]},{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t D\u00fcsseldorf 4000 D\u00fcsseldorf FRG#TAB#","institution_ids":["https://openalex.org/I44260953"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5040566925"],"corresponding_institution_ids":["https://openalex.org/I44260953"],"apc_list":{"value":2770,"currency":"USD","value_usd":2770},"apc_paid":null,"fwci":1.6794,"has_fulltext":false,"cited_by_count":85,"citation_normalized_percentile":{"value":0.87125243,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"4","issue":"1","first_page":"123","last_page":"127"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9930999875068665,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9930999875068665,"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/T11567","display_name":"semigroups and automata theory","score":0.920799970626831,"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/T11181","display_name":"Advanced Data Storage Technologies","score":0.9194999933242798,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/mathematics","display_name":"Mathematics","score":0.8983245491981506},{"id":"https://openalex.org/keywords/lattice-reduction","display_name":"Lattice reduction","score":0.7936860918998718},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.6785697340965271},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6138348579406738},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.554632306098938},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4837036728858948},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4304884374141693},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36241766810417175},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10562855005264282},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.08390966057777405}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8983245491981506},{"id":"https://openalex.org/C44274781","wikidata":"https://www.wikidata.org/wiki/Q6497132","display_name":"Lattice reduction","level":4,"score":0.7936860918998718},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.6785697340965271},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6138348579406738},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.554632306098938},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4837036728858948},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4304884374141693},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36241766810417175},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10562855005264282},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.08390966057777405},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","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:10.1016/s0747-7171(87)80061-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0747-7171(87)80061-5","pdf_url":null,"source":{"id":"https://openalex.org/S18904315","display_name":"Journal of Symbolic Computation","issn_l":"0747-7171","issn":["0747-7171","1095-855X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Symbolic Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1545124619","https://openalex.org/W1566281515","https://openalex.org/W1982131042","https://openalex.org/W2141040012","https://openalex.org/W6632700752","https://openalex.org/W6681106402"],"related_works":["https://openalex.org/W3028700241","https://openalex.org/W2296657975","https://openalex.org/W2006789412","https://openalex.org/W2381112272","https://openalex.org/W2016712352","https://openalex.org/W1766548092","https://openalex.org/W2567490660","https://openalex.org/W1603921694","https://openalex.org/W2071893554","https://openalex.org/W1572157978"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":5},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}