{"id":"https://openalex.org/W2070628910","doi":"https://doi.org/10.1007/bf01202355","title":"Simultaneous reduction of a lattice basis and its reciprocal basis","display_name":"Simultaneous reduction of a lattice basis and its reciprocal basis","publication_year":1993,"publication_date":"1993-09-01","ids":{"openalex":"https://openalex.org/W2070628910","doi":"https://doi.org/10.1007/bf01202355","mag":"2070628910"},"language":"en","primary_location":{"id":"doi:10.1007/bf01202355","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01202355","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","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/A5085256337","display_name":"Martin Seysen","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M. Seysen","raw_affiliation_strings":["Schei\u00dfheimer Str. 339, D-80809, M\u00fcnchen, Germany","M\u00fcnchen, Germany"],"affiliations":[{"raw_affiliation_string":"Schei\u00dfheimer Str. 339, D-80809, M\u00fcnchen, Germany","institution_ids":[]},{"raw_affiliation_string":"M\u00fcnchen, Germany","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5085256337"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.1639,"has_fulltext":false,"cited_by_count":121,"citation_normalized_percentile":{"value":0.82202577,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"13","issue":"3","first_page":"363","last_page":"376"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9983999729156494,"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":0.9972000122070312,"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/combinatorics","display_name":"Combinatorics","score":0.8178167343139648},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7970700860023499},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.6624077558517456},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.626946210861206},{"id":"https://openalex.org/keywords/reciprocal","display_name":"Reciprocal","score":0.5827605128288269},{"id":"https://openalex.org/keywords/lattice-reduction","display_name":"Lattice reduction","score":0.5591257214546204},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.4938738942146301},{"id":"https://openalex.org/keywords/reciprocal-lattice","display_name":"Reciprocal lattice","score":0.425546258687973},{"id":"https://openalex.org/keywords/reduction","display_name":"Reduction (mathematics)","score":0.4150736629962921},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3425968885421753},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.10898745059967041},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07284882664680481},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05687853693962097},{"id":"https://openalex.org/keywords/quantum-mechanics","display_name":"Quantum mechanics","score":0.04548555612564087}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8178167343139648},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7970700860023499},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.6624077558517456},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.626946210861206},{"id":"https://openalex.org/C2777742833","wikidata":"https://www.wikidata.org/wiki/Q1964083","display_name":"Reciprocal","level":2,"score":0.5827605128288269},{"id":"https://openalex.org/C44274781","wikidata":"https://www.wikidata.org/wiki/Q6497132","display_name":"Lattice reduction","level":4,"score":0.5591257214546204},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.4938738942146301},{"id":"https://openalex.org/C89957378","wikidata":"https://www.wikidata.org/wiki/Q164129","display_name":"Reciprocal lattice","level":3,"score":0.425546258687973},{"id":"https://openalex.org/C111335779","wikidata":"https://www.wikidata.org/wiki/Q3454686","display_name":"Reduction (mathematics)","level":2,"score":0.4150736629962921},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3425968885421753},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.10898745059967041},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07284882664680481},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05687853693962097},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.04548555612564087},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C207114421","wikidata":"https://www.wikidata.org/wiki/Q133900","display_name":"Diffraction","level":2,"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/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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},{"id":"https://openalex.org/C207987634","wikidata":"https://www.wikidata.org/wiki/Q176862","display_name":"MIMO","level":3,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01202355","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01202355","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorica","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W1496417058","https://openalex.org/W1536407181","https://openalex.org/W1576391039","https://openalex.org/W1589700598","https://openalex.org/W1973270757","https://openalex.org/W1989510734","https://openalex.org/W1995990042","https://openalex.org/W2015450103","https://openalex.org/W2027157239","https://openalex.org/W2067935912","https://openalex.org/W2069842959","https://openalex.org/W2084347464","https://openalex.org/W2095141442","https://openalex.org/W2114616381","https://openalex.org/W2141040012","https://openalex.org/W2150780437","https://openalex.org/W2155178472","https://openalex.org/W2752853835","https://openalex.org/W4293259454"],"related_works":["https://openalex.org/W2391753177","https://openalex.org/W4254435948","https://openalex.org/W4301269892","https://openalex.org/W2952723827","https://openalex.org/W2019884085","https://openalex.org/W1996598776","https://openalex.org/W2015061035","https://openalex.org/W3036453093","https://openalex.org/W324064673","https://openalex.org/W2016712352"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":6},{"year":2019,"cited_by_count":8},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":10},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
