{"id":"https://openalex.org/W2062661325","doi":"https://doi.org/10.1016/s0195-6698(83)80017-1","title":"On the Tightest Packing of Sums of Vectors","display_name":"On the Tightest Packing of Sums of Vectors","publication_year":1983,"publication_date":"1983-09-01","ids":{"openalex":"https://openalex.org/W2062661325","doi":"https://doi.org/10.1016/s0195-6698(83)80017-1","mag":"2062661325"},"language":"en","primary_location":{"id":"doi:10.1016/s0195-6698(83)80017-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0195-6698(83)80017-1","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"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":"European Journal of Combinatorics","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/A5011011757","display_name":"Jerrold R. Griggs","orcid":null},"institutions":[{"id":"https://openalex.org/I155781252","display_name":"University of South Carolina","ror":"https://ror.org/02b6qw903","country_code":"US","type":"education","lineage":["https://openalex.org/I155781252"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Jerrold R. Griggs","raw_affiliation_strings":["Department of Mathematics and Statistics, University of South Carolina, Columbia, SC 29208 U.S.A","University of South Carolina"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, University of South Carolina, Columbia, SC 29208 U.S.A","institution_ids":["https://openalex.org/I155781252"]},{"raw_affiliation_string":"University of South Carolina","institution_ids":["https://openalex.org/I155781252"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005612207","display_name":"Jeffrey C. Lagarias","orcid":"https://orcid.org/0000-0002-4157-5527"},"institutions":[{"id":"https://openalex.org/I1322087612","display_name":"Alcatel Lucent (Germany)","ror":"https://ror.org/00c5mwp75","country_code":"DE","type":"company","lineage":["https://openalex.org/I1322087612"]},{"id":"https://openalex.org/I2251713219","display_name":"NTT (Japan)","ror":"https://ror.org/00berct97","country_code":"JP","type":"company","lineage":["https://openalex.org/I2251713219"]}],"countries":["DE","JP"],"is_corresponding":false,"raw_author_name":"Jeffrey C. Lagarias","raw_affiliation_strings":["Bell Telephone Laboratories, Murray Hill, NJ 07974 U.S.A","Lucent"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bell Telephone Laboratories, Murray Hill, NJ 07974 U.S.A","institution_ids":["https://openalex.org/I2251713219"]},{"raw_affiliation_string":"Lucent","institution_ids":["https://openalex.org/I1322087612"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035952740","display_name":"Andrew Odlyzko","orcid":null},"institutions":[{"id":"https://openalex.org/I1322087612","display_name":"Alcatel Lucent (Germany)","ror":"https://ror.org/00c5mwp75","country_code":"DE","type":"company","lineage":["https://openalex.org/I1322087612"]},{"id":"https://openalex.org/I2251713219","display_name":"NTT (Japan)","ror":"https://ror.org/00berct97","country_code":"JP","type":"company","lineage":["https://openalex.org/I2251713219"]}],"countries":["DE","JP"],"is_corresponding":false,"raw_author_name":"Andrew M. Odlyzko","raw_affiliation_strings":["Bell Telephone Laboratories, Murray Hill, NJ 07974 U.S.A","Lucent"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bell Telephone Laboratories, Murray Hill, NJ 07974 U.S.A","institution_ids":["https://openalex.org/I2251713219"]},{"raw_affiliation_string":"Lucent","institution_ids":["https://openalex.org/I1322087612"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111960625","display_name":"James B. Shearer","orcid":null},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"James B. Shearer","raw_affiliation_strings":["Department of Mathematics, University California, Berkeley CA 94720, U.S.A","University of California at Berkeley"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University California, Berkeley CA 94720, U.S.A","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California at Berkeley","institution_ids":["https://openalex.org/I95457486"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5011011757"],"corresponding_institution_ids":["https://openalex.org/I155781252"],"apc_list":{"value":2880,"currency":"USD","value_usd":2880},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":14,"citation_normalized_percentile":{"value":0.23596304,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"4","issue":"3","first_page":"231","last_page":"236"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12176","display_name":"Optimization and Packing Problems","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9782999753952026,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8265230655670166},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7259065508842468}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8265230655670166},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7259065508842468}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0195-6698(83)80017-1","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0195-6698(83)80017-1","pdf_url":null,"source":{"id":"https://openalex.org/S204851967","display_name":"European Journal of Combinatorics","issn_l":"0195-6698","issn":["0195-6698","1095-9971"],"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":"European Journal of Combinatorics","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/W1982130500","https://openalex.org/W2014485295","https://openalex.org/W2084154412","https://openalex.org/W2122146382","https://openalex.org/W2584020404","https://openalex.org/W2751862591"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-09T13:55:54.758798","created_date":"2025-10-10T00:00:00"}
