{"id":"https://openalex.org/W2080892006","doi":"https://doi.org/10.1007/bf01388486","title":"Bounds for binary multiple covering codes","display_name":"Bounds for binary multiple covering codes","publication_year":1993,"publication_date":"1993-07-01","ids":{"openalex":"https://openalex.org/W2080892006","doi":"https://doi.org/10.1007/bf01388486","mag":"2080892006"},"language":"en","primary_location":{"id":"doi:10.1007/bf01388486","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01388486","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","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/A5097428984","display_name":"Heikki O. H\ufffdm\ufffdl\ufffdinen","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Heikki O. H\ufffdm\ufffdl\ufffdinen","raw_affiliation_strings":["Keski-Palokka, Finland"],"affiliations":[{"raw_affiliation_string":"Keski-Palokka, Finland","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5041337796","display_name":"Iiro Honkala","orcid":null},"institutions":[{"id":"https://openalex.org/I155660961","display_name":"University of Turku","ror":"https://ror.org/05vghhr25","country_code":"FI","type":"education","lineage":["https://openalex.org/I155660961"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Iiro S. Honkala","raw_affiliation_strings":["Department of Mathematics, University of Turku, 20500, Turku 50, Finland","Department of Mathematics, University of Turku, Turku 50, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Turku, 20500, Turku 50, Finland","institution_ids":["https://openalex.org/I155660961"]},{"raw_affiliation_string":"Department of Mathematics, University of Turku, Turku 50, Finland","institution_ids":["https://openalex.org/I155660961"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5012116080","display_name":"M.K. Kaikkonen","orcid":null},"institutions":[{"id":"https://openalex.org/I4210119275","display_name":"358 (Finland)","ror":"https://ror.org/02abp7362","country_code":"FI","type":"company","lineage":["https://openalex.org/I4210119275"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Markku K. Kaikkonen","raw_affiliation_strings":["Helsinki 66, Halkosuontie 65 C 5, 00660, Finland","Helsinki 66, Finland"],"affiliations":[{"raw_affiliation_string":"Helsinki 66, Halkosuontie 65 C 5, 00660, Finland","institution_ids":["https://openalex.org/I4210119275"]},{"raw_affiliation_string":"Helsinki 66, Finland","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5044662173","display_name":"Simon Litsyn","orcid":null},"institutions":[{"id":"https://openalex.org/I16391192","display_name":"Tel Aviv University","ror":"https://ror.org/04mhzgx49","country_code":"IL","type":"education","lineage":["https://openalex.org/I16391192"]}],"countries":["IL"],"is_corresponding":false,"raw_author_name":"Simon N. Litsyn","raw_affiliation_strings":["Department of Electrical Engineering-Systems, Tel-Aviv University, 69978, Ramat-Aviv, Israel","Department of Electrical Engineering-Systems, Tel Aviv University, Ramat Aviv, Israel"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering-Systems, Tel-Aviv University, 69978, Ramat-Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]},{"raw_affiliation_string":"Department of Electrical Engineering-Systems, Tel Aviv University, Ramat Aviv, Israel","institution_ids":["https://openalex.org/I16391192"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5097428984"],"corresponding_institution_ids":[],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.0736,"has_fulltext":false,"cited_by_count":22,"citation_normalized_percentile":{"value":0.93703348,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"3","issue":"3","first_page":"251","last_page":"275"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":1.0,"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/T11130","display_name":"Coding theory and cryptography","score":1.0,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic 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/T12162","display_name":"Cellular Automata and Applications","score":0.996399998664856,"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/hamming-space","display_name":"Hamming space","score":0.8550629615783691},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.7950074672698975},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.7825154662132263},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7484666705131531},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.722086489200592},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6590874195098877},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.629443883895874},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5933932065963745},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.5695784091949463},{"id":"https://openalex.org/keywords/code","display_name":"Code (set theory)","score":0.5583681464195251},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.5577483773231506},{"id":"https://openalex.org/keywords/hamming","display_name":"Hamming(7,4)","score":0.49020320177078247},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4871761202812195},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.44686785340309143},{"id":"https://openalex.org/keywords/linear-code","display_name":"Linear code","score":0.41237208247184753},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.37389838695526123},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23423689603805542},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.21963468194007874},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.16738379001617432},{"id":"https://openalex.org/keywords/decoding-methods","display_name":"Decoding methods","score":0.0711388885974884},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.04909488558769226}],"concepts":[{"id":"https://openalex.org/C2779494224","wikidata":"https://www.wikidata.org/wiki/Q5645799","display_name":"Hamming space","level":5,"score":0.8550629615783691},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.7950074672698975},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.7825154662132263},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7484666705131531},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.722086489200592},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6590874195098877},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.629443883895874},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5933932065963745},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.5695784091949463},{"id":"https://openalex.org/C2776760102","wikidata":"https://www.wikidata.org/wiki/Q5139990","display_name":"Code (set theory)","level":3,"score":0.5583681464195251},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.5577483773231506},{"id":"https://openalex.org/C112932734","wikidata":"https://www.wikidata.org/wiki/Q2322550","display_name":"Hamming(7,4)","level":5,"score":0.49020320177078247},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4871761202812195},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.44686785340309143},{"id":"https://openalex.org/C2400350","wikidata":"https://www.wikidata.org/wiki/Q1752667","display_name":"Linear code","level":4,"score":0.41237208247184753},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.37389838695526123},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23423689603805542},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.21963468194007874},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.16738379001617432},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0711388885974884},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.04909488558769226},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01388486","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01388486","pdf_url":null,"source":{"id":"https://openalex.org/S81616010","display_name":"Designs Codes and Cryptography","issn_l":"0925-1022","issn":["0925-1022","1573-7586"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Designs, Codes and Cryptography","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334901","display_name":"Jenny ja Antti Wihurin Rahasto","ror":"https://ror.org/01gpyzq83"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":40,"referenced_works":["https://openalex.org/W230482156","https://openalex.org/W1537366065","https://openalex.org/W1606480398","https://openalex.org/W1968946772","https://openalex.org/W1977189634","https://openalex.org/W1981611633","https://openalex.org/W1985106002","https://openalex.org/W1989844940","https://openalex.org/W2003664743","https://openalex.org/W2024937730","https://openalex.org/W2034930806","https://openalex.org/W2042886856","https://openalex.org/W2044451186","https://openalex.org/W2052550252","https://openalex.org/W2065447201","https://openalex.org/W2065738971","https://openalex.org/W2107959019","https://openalex.org/W2116220645","https://openalex.org/W2120847027","https://openalex.org/W2126655674","https://openalex.org/W2130724551","https://openalex.org/W2131733916","https://openalex.org/W2136319083","https://openalex.org/W2140050124","https://openalex.org/W2149625001","https://openalex.org/W2151667096","https://openalex.org/W2153535269","https://openalex.org/W2154237885","https://openalex.org/W2157335387","https://openalex.org/W2157562358","https://openalex.org/W2161595612","https://openalex.org/W2988531221","https://openalex.org/W3143455865","https://openalex.org/W4244610782","https://openalex.org/W4285719527","https://openalex.org/W6636396655","https://openalex.org/W6646434658","https://openalex.org/W6647715706","https://openalex.org/W6677950338","https://openalex.org/W6792821172"],"related_works":["https://openalex.org/W2371167013","https://openalex.org/W1966523540","https://openalex.org/W2613408642","https://openalex.org/W2170314267","https://openalex.org/W3205692356","https://openalex.org/W2122308665","https://openalex.org/W2182731056","https://openalex.org/W2080892006","https://openalex.org/W2158117886","https://openalex.org/W1519122282"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}