{"id":"https://openalex.org/W2343607638","doi":"https://doi.org/10.1134/s003294601504002x","title":"Nonexistence of binary orthogonal arrays via their distance distributions","display_name":"Nonexistence of binary orthogonal arrays via their distance distributions","publication_year":2015,"publication_date":"2015-10-01","ids":{"openalex":"https://openalex.org/W2343607638","doi":"https://doi.org/10.1134/s003294601504002x","mag":"2343607638"},"language":"en","primary_location":{"id":"doi:10.1134/s003294601504002x","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s003294601504002x","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 Mathematics and Natural Sciences, 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 Mathematics and Natural Sciences, 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/A5089541658","display_name":"Hristina Kulina","orcid":"https://orcid.org/0000-0003-4200-773X"},"institutions":[{"id":"https://openalex.org/I192878625","display_name":"Plovdiv University","ror":"https://ror.org/0545p3742","country_code":"BG","type":"education","lineage":["https://openalex.org/I192878625"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"H. Kulina","raw_affiliation_strings":["Faculty of Mathematics and Informatics, Plovdiv University, Plovdiv, Bulgaria"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Informatics, Plovdiv University, Plovdiv, Bulgaria","institution_ids":["https://openalex.org/I192878625"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087130004","display_name":"Tanya Marinova","orcid":"https://orcid.org/0000-0002-0865-1436"},"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":"T. Marinova","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"]}]},{"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":1,"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":1.4611,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.85441292,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"51","issue":"4","first_page":"326","last_page":"334"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11798","display_name":"Optimal Experimental Design Methods","score":0.9994999766349792,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11729","display_name":"Product Development and Customization","score":0.9664999842643738,"subfield":{"id":"https://openalex.org/subfields/1405","display_name":"Management of Technology and Innovation"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11159","display_name":"Manufacturing Process and Optimization","score":0.958299994468689,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8395836353302002},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.6504164934158325},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5272480845451355},{"id":"https://openalex.org/keywords/orthogonal-array","display_name":"Orthogonal array","score":0.44954508543014526},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.32672086358070374},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.31673216819763184},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1316465437412262}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8395836353302002},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.6504164934158325},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5272480845451355},{"id":"https://openalex.org/C42632107","wikidata":"https://www.wikidata.org/wiki/Q2031860","display_name":"Orthogonal array","level":3,"score":0.44954508543014526},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.32672086358070374},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.31673216819763184},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1316465437412262},{"id":"https://openalex.org/C83469408","wikidata":"https://www.wikidata.org/wiki/Q2036525","display_name":"Taguchi methods","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s003294601504002x","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s003294601504002x","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":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.5299999713897705}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1968416356","https://openalex.org/W2021617950","https://openalex.org/W2046195415","https://openalex.org/W2052900991","https://openalex.org/W2126542268","https://openalex.org/W4249150173"],"related_works":["https://openalex.org/W2034774673","https://openalex.org/W2107463213","https://openalex.org/W3134762647","https://openalex.org/W165556915","https://openalex.org/W2980963558","https://openalex.org/W2740522997","https://openalex.org/W2990304177","https://openalex.org/W1625343040","https://openalex.org/W3171028201","https://openalex.org/W2028283103"],"abstract_inverted_index":{"We":[0,28],"investigate":[1],"binary":[2,56],"orthogonal":[3,57],"arrays":[4,18,24,58],"by":[5],"making":[6],"use":[7],"of":[8,16,22,36],"the":[9,17,34],"fact":[10],"that":[11,52],"all":[12],"possible":[13],"distance":[14,38],"distributions":[15],"under":[19],"investigation":[20],"and":[21,100],"related":[23],"can":[25],"be":[26],"computed.":[27],"apply":[29],"certain":[30],"relations":[31],"for":[32],"reducing":[33],"number":[35],"feasible":[37],"distributions.":[39],"In":[40,48],"some":[41],"cases":[42],"this":[43],"leads":[44],"to":[45],"nonexistence":[46],"results.":[47],"particular,":[49],"we":[50],"prove":[51],"there":[53],"exist":[54],"no":[55],"with":[59],"parameters":[60],"(strength,":[61],"length,":[62],"cardinality)":[63],"=":[64],"(4,":[65,72,79],"10,":[66],"6":[67,74,88,95],"\u00b7":[68,75,82,89,96,104],"2":[69,76,83,90,97,105],"4":[70,77,84],"),":[71,78,85,92,99],"11,":[73,87],"12,":[80,94],"7":[81,103],"(5,":[86,93,101],"5":[91,98,106],"13,":[102],").":[107]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}