{"id":"https://openalex.org/W2964264560","doi":"https://doi.org/10.1134/s0032946018040026","title":"Refinements of Levenshtein Bounds in q-ary Hamming Spaces","display_name":"Refinements of Levenshtein Bounds in q-ary Hamming Spaces","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2964264560","doi":"https://doi.org/10.1134/s0032946018040026","mag":"2964264560"},"language":"en","primary_location":{"id":"doi:10.1134/s0032946018040026","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946018040026","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253","3034-5839"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","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/A5026823761","display_name":"Peter Boyvalenkov","orcid":"https://orcid.org/0000-0001-7563-9552"},"institutions":[{"id":"https://openalex.org/I178498160","display_name":"American University in Bulgaria","ror":"https://ror.org/05n8fe870","country_code":"BG","type":"education","lineage":["https://openalex.org/I178498160"]},{"id":"https://openalex.org/I24768866","display_name":"Bulgarian Academy of Sciences","ror":"https://ror.org/01x8hew03","country_code":"BG","type":"government","lineage":["https://openalex.org/I24768866"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"P. Boyvalenkov","raw_affiliation_strings":["Faculty of Engineering, South-Western University, Blagoevgrad, Bulgaria","Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Engineering, South-Western University, Blagoevgrad, Bulgaria","institution_ids":["https://openalex.org/I178498160"]},{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014116109","display_name":"Danyo Danev","orcid":"https://orcid.org/0000-0001-5098-9679"},"institutions":[{"id":"https://openalex.org/I102134673","display_name":"Link\u00f6ping University","ror":"https://ror.org/05ynxx418","country_code":"SE","type":"education","lineage":["https://openalex.org/I102134673"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"D. Danev","raw_affiliation_strings":["Department of Electrical Engineering and Department of Mathematics, Link\u00f6ping University, Link\u00f6ping, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering and Department of Mathematics, Link\u00f6ping University, Link\u00f6ping, Sweden","institution_ids":["https://openalex.org/I102134673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049146864","display_name":"Maya Stoyanova","orcid":"https://orcid.org/0000-0002-8813-3398"},"institutions":[{"id":"https://openalex.org/I58918642","display_name":"Sofia University \"St. Kliment Ohridski\"","ror":"https://ror.org/02jv3k292","country_code":"BG","type":"education","lineage":["https://openalex.org/I58918642"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"M. Stoyanova","raw_affiliation_strings":["Faculty of Mathematics and Informatics, Sofia University, Sofia, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Informatics, Sofia University, Sofia, Bulgaria","institution_ids":["https://openalex.org/I58918642"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5026823761"],"corresponding_institution_ids":["https://openalex.org/I178498160","https://openalex.org/I24768866","https://openalex.org/I4210105926"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.24100119,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"54","issue":"4","first_page":"329","last_page":"342"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9993000030517578,"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":0.9993000030517578,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9968000054359436,"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/T11797","display_name":"graph theory and CDMA systems","score":0.996399998664856,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7854193449020386},{"id":"https://openalex.org/keywords/hamming-code","display_name":"Hamming code","score":0.6470763683319092},{"id":"https://openalex.org/keywords/hamming-distance","display_name":"Hamming distance","score":0.6334468126296997},{"id":"https://openalex.org/keywords/levenshtein-distance","display_name":"Levenshtein distance","score":0.5711560845375061},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.49037909507751465},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.46791699528694153},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.456502765417099},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4373196065425873},{"id":"https://openalex.org/keywords/hamming-bound","display_name":"Hamming bound","score":0.43160220980644226},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3030558228492737},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.13904941082000732},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.09692361950874329},{"id":"https://openalex.org/keywords/block-code","display_name":"Block code","score":0.09574133157730103}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7854193449020386},{"id":"https://openalex.org/C73150493","wikidata":"https://www.wikidata.org/wiki/Q853922","display_name":"Hamming code","level":4,"score":0.6470763683319092},{"id":"https://openalex.org/C193319292","wikidata":"https://www.wikidata.org/wiki/Q272172","display_name":"Hamming distance","level":2,"score":0.6334468126296997},{"id":"https://openalex.org/C2777515626","wikidata":"https://www.wikidata.org/wiki/Q496939","display_name":"Levenshtein distance","level":2,"score":0.5711560845375061},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.49037909507751465},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.46791699528694153},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.456502765417099},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4373196065425873},{"id":"https://openalex.org/C166530166","wikidata":"https://www.wikidata.org/wiki/Q1970635","display_name":"Hamming bound","level":5,"score":0.43160220980644226},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3030558228492737},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.13904941082000732},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.09692361950874329},{"id":"https://openalex.org/C157125643","wikidata":"https://www.wikidata.org/wiki/Q884707","display_name":"Block code","level":3,"score":0.09574133157730103},{"id":"https://openalex.org/C57273362","wikidata":"https://www.wikidata.org/wiki/Q576722","display_name":"Decoding methods","level":2,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0032946018040026","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946018040026","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253","3034-5839"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320267","host_organization_name":"Pleiades Publishing","host_organization_lineage":["https://openalex.org/P4310320267","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Pleiades Publishing","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Problems of Information Transmission","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":26,"referenced_works":["https://openalex.org/W109405981","https://openalex.org/W1606480398","https://openalex.org/W1753813393","https://openalex.org/W1981075218","https://openalex.org/W1986015715","https://openalex.org/W1998657826","https://openalex.org/W2030578446","https://openalex.org/W2052900991","https://openalex.org/W2053716525","https://openalex.org/W2073098064","https://openalex.org/W2075804573","https://openalex.org/W2101520088","https://openalex.org/W2104385491","https://openalex.org/W2152815367","https://openalex.org/W2154746932","https://openalex.org/W2168946262","https://openalex.org/W2169207476","https://openalex.org/W2267943254","https://openalex.org/W2296319761","https://openalex.org/W2609735498","https://openalex.org/W2803056704","https://openalex.org/W3038165843","https://openalex.org/W4249150173","https://openalex.org/W4250589301","https://openalex.org/W4285719527","https://openalex.org/W4295022726"],"related_works":["https://openalex.org/W2371167013","https://openalex.org/W4302771537","https://openalex.org/W1964096323","https://openalex.org/W2740543340","https://openalex.org/W2119135810","https://openalex.org/W2951416090","https://openalex.org/W2105471374","https://openalex.org/W2008960744","https://openalex.org/W2014631828","https://openalex.org/W2142293082"],"abstract_inverted_index":{"We":[0,32],"develop":[1],"refinements":[2],"of":[3,19,26,51,84],"the":[4,16,20,23,34,52,66],"Levenshtein":[5],"bound":[6],"in":[7],"q":[8,48],"-ary":[9,49],"Hamming":[10],"spaces":[11],"by":[12,30],"taking":[13],"into":[14],"account":[15],"discrete":[17],"nature":[18],"distances":[21],"versus":[22],"continuous":[24],"behavior":[25],"certain":[27],"parameters":[28,83],"used":[29],"Levenshtein.":[31],"investigate":[33],"first":[35],"relevant":[36],"cases":[37],"and":[38,47,70],"present":[39,79],"new":[40],"bounds.":[41,92],"In":[42],"particular,":[43],"we":[44,56,78],"derive":[45],"generalizations":[46],"analogs":[50],"MacEliece":[53],"bound.":[54],"Furthermore,":[55],"provide":[57],"evidence":[58],"that":[59],"our":[60,75,91],"approach":[61],"is":[62],"as":[63,65],"good":[64],"complete":[67],"linear":[68],"programming":[69],"discuss":[71],"how":[72],"faster":[73],"are":[74],"calculations.":[76],"Finally,":[77],"a":[80],"table":[81],"with":[82],"codes":[85],"which,":[86],"if":[87],"exist,":[88],"would":[89],"attain":[90]},"counts_by_year":[],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}