{"id":"https://openalex.org/W2976523595","doi":"https://doi.org/10.1109/isit.2019.8849388","title":"Linear Programming Bounds for Cardinality and Energy of Codes of Given Min and Max Distances","display_name":"Linear Programming Bounds for Cardinality and Energy of Codes of Given Min and Max Distances","publication_year":2019,"publication_date":"2019-07-01","ids":{"openalex":"https://openalex.org/W2976523595","doi":"https://doi.org/10.1109/isit.2019.8849388","mag":"2976523595"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2019.8849388","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849388","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-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/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":"Peter Boyvalenkov","raw_affiliation_strings":["Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, 1113, Bulgaria","Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, 1113, Bulgaria","institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]},{"raw_affiliation_string":"Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, Bulgaria","institution_ids":["https://openalex.org/I4210105926","https://openalex.org/I24768866"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5054394123","display_name":"Peter D Dragnev","orcid":"https://orcid.org/0000-0001-7039-3047"},"institutions":[{"id":"https://openalex.org/I162817326","display_name":"Indiana University \u2013 Purdue University Fort Wayne","ror":"https://ror.org/01jxzq227","country_code":"US","type":"education","lineage":["https://openalex.org/I162817326"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter Dragnev","raw_affiliation_strings":["Department of Mathematical Sciences, Purdue University, Fort Wayne, IN, 46805, USA","Department of Mathematical Sciences, Purdue University, Fort Wayne, IN, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Purdue University, Fort Wayne, IN, 46805, USA","institution_ids":["https://openalex.org/I162817326"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Purdue University, Fort Wayne, IN, USA","institution_ids":["https://openalex.org/I162817326"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066655505","display_name":"Douglas P. Hardin","orcid":"https://orcid.org/0000-0003-0867-2146"},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Douglas Hardin","raw_affiliation_strings":["Center for Constructive Approximation, Vanderbilt University, Nashville, TN, 37240, USA","Center for Constructive Approximation, Vanderbilt University, Nashville, TN, USA"],"affiliations":[{"raw_affiliation_string":"Center for Constructive Approximation, Vanderbilt University, Nashville, TN, 37240, USA","institution_ids":["https://openalex.org/I200719446"]},{"raw_affiliation_string":"Center for Constructive Approximation, Vanderbilt University, Nashville, TN, USA","institution_ids":["https://openalex.org/I200719446"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045775858","display_name":"Edward B. Saff","orcid":"https://orcid.org/0000-0003-1079-9074"},"institutions":[{"id":"https://openalex.org/I200719446","display_name":"Vanderbilt University","ror":"https://ror.org/02vm5rt34","country_code":"US","type":"education","lineage":["https://openalex.org/I200719446"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Edward Saff","raw_affiliation_strings":["Center for Constructive Approximation, Vanderbilt University, Nashville, TN, 37240, USA","Center for Constructive Approximation, Vanderbilt University, Nashville, TN, USA"],"affiliations":[{"raw_affiliation_string":"Center for Constructive Approximation, Vanderbilt University, Nashville, TN, 37240, USA","institution_ids":["https://openalex.org/I200719446"]},{"raw_affiliation_string":"Center for Constructive Approximation, Vanderbilt University, Nashville, TN, USA","institution_ids":["https://openalex.org/I200719446"]}]},{"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":"Maya Stoyanova","raw_affiliation_strings":["Faculty of Mathematics and Informatics, Sofia University, Sofia, 1164, Bulgaria","Faculty of Mathematics and Informatics, Sofia University, Sofia, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Informatics, Sofia University, Sofia, 1164, Bulgaria","institution_ids":["https://openalex.org/I58918642"]},{"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/I24768866","https://openalex.org/I4210105926"],"apc_list":null,"apc_paid":null,"fwci":0.4341,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.72287045,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":null,"issue":null,"first_page":"1747","last_page":"1751"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11130","display_name":"Coding theory and cryptography","score":0.9998999834060669,"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":0.9998999834060669,"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":0.9998000264167786,"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/T12404","display_name":"Mathematical Approximation and Integration","score":0.9991999864578247,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.8295486569404602},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.6601681113243103},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5400823354721069},{"id":"https://openalex.org/keywords/energy","display_name":"Energy (signal processing)","score":0.5027456283569336},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.39543259143829346},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.371021568775177},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3693395256996155},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.34316760301589966},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3322833180427551},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3162946105003357},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.07673197984695435},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07216322422027588}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.8295486569404602},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.6601681113243103},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5400823354721069},{"id":"https://openalex.org/C186370098","wikidata":"https://www.wikidata.org/wiki/Q442787","display_name":"Energy (signal processing)","level":2,"score":0.5027456283569336},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.39543259143829346},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.371021568775177},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3693395256996155},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.34316760301589966},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3322833180427551},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3162946105003357},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.07673197984695435},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07216322422027588}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/isit.2019.8849388","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2019.8849388","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Symposium on Information Theory (ISIT)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/7","display_name":"Affordable and clean energy","score":0.8299999833106995}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":16,"referenced_works":["https://openalex.org/W109405981","https://openalex.org/W1814198588","https://openalex.org/W1879145692","https://openalex.org/W1986015715","https://openalex.org/W2012850743","https://openalex.org/W2073732659","https://openalex.org/W2101520088","https://openalex.org/W2115422885","https://openalex.org/W2169207476","https://openalex.org/W2306519013","https://openalex.org/W3038165843","https://openalex.org/W3100370256","https://openalex.org/W3103274847","https://openalex.org/W4295022726","https://openalex.org/W4299112371","https://openalex.org/W6604469142"],"related_works":["https://openalex.org/W2020567882","https://openalex.org/W2739495308","https://openalex.org/W2054050056","https://openalex.org/W2528333032","https://openalex.org/W2021209870","https://openalex.org/W2002427023","https://openalex.org/W1979964775","https://openalex.org/W2012709527","https://openalex.org/W1981646468","https://openalex.org/W1994836458"],"abstract_inverted_index":{"We":[0],"employ":[1],"signed":[2],"measures":[3],"that":[4],"are":[5],"positive":[6],"definite":[7],"up":[8],"to":[9,12],"certain":[10],"degrees":[11],"establish":[13],"Levenshtein-type":[14],"upper":[15],"bounds":[16,31,57],"on":[17,32],"the":[18,33,53],"cardinality":[19],"of":[20,55],"codes":[21,41],"with":[22,42],"given":[23,43],"minimum":[24],"and":[25,28,46],"maximum":[26,44],"distance,":[27],"universal":[29],"lower":[30],"potential":[34],"energy":[35],"(for":[36],"absolutely":[37],"monotone":[38],"interactions)":[39],"for":[40,58],"distance":[45],"fixed":[47],"cardinality.":[48],"In":[49],"particular,":[50],"we":[51],"extend":[52],"framework":[54],"Levenshtein":[56],"such":[59],"codes.":[60]},"counts_by_year":[{"year":2020,"cited_by_count":3}],"updated_date":"2026-03-25T13:04:00.132906","created_date":"2025-10-10T00:00:00"}
