{"id":"https://openalex.org/W2075255264","doi":"https://doi.org/10.1134/s0032946009020033","title":"A method for proving nonexistence of spherical designs of odd strength and odd cardinality","display_name":"A method for proving nonexistence of spherical designs of odd strength and odd cardinality","publication_year":2009,"publication_date":"2009-06-01","ids":{"openalex":"https://openalex.org/W2075255264","doi":"https://doi.org/10.1134/s0032946009020033","mag":"2075255264"},"language":"en","primary_location":{"id":"doi:10.1134/s0032946009020033","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946009020033","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253"],"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/A5030680689","display_name":"Silvia Boumova","orcid":"https://orcid.org/0000-0002-1754-7358"},"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":"S. Boumova","raw_affiliation_strings":["Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, 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, Bulgaria","institution_ids":["https://openalex.org/I4210105926","https://openalex.org/I24768866"]},{"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/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":false,"raw_author_name":"P. Boyvalenkov","raw_affiliation_strings":["Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Sofia, 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, Bulgaria","institution_ids":["https://openalex.org/I4210105926","https://openalex.org/I24768866"]},{"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":"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","Faculty of Mathematics and Informatics, Sofia University,Sofia,Bulgaria"],"affiliations":[{"raw_affiliation_string":"Faculty of Mathematics and Informatics, Sofia University, Sofia, 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":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5030680689"],"corresponding_institution_ids":["https://openalex.org/I24768866","https://openalex.org/I4210105926"],"apc_list":null,"apc_paid":null,"fwci":0.9504,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75736133,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"45","issue":"2","first_page":"110","last_page":"123"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12404","display_name":"Mathematical Approximation and Integration","score":0.9976000189781189,"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":0.9976000189781189,"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/T11159","display_name":"Manufacturing Process and Optimization","score":0.9876000285148621,"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/T11798","display_name":"Optimal Experimental Design Methods","score":0.955299973487854,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.9202481508255005},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8683813810348511},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.494265079498291},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.42405444383621216},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4182341694831848},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13364237546920776},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.07012838125228882}],"concepts":[{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.9202481508255005},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8683813810348511},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.494265079498291},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.42405444383621216},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4182341694831848},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13364237546920776},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.07012838125228882},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1134/s0032946009020033","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s0032946009020033","pdf_url":null,"source":{"id":"https://openalex.org/S172430362","display_name":"Problems of Information Transmission","issn_l":"0032-9460","issn":["0032-9460","1608-3253"],"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":16,"referenced_works":["https://openalex.org/W1556443961","https://openalex.org/W1969059239","https://openalex.org/W1985132689","https://openalex.org/W1989788470","https://openalex.org/W1995990042","https://openalex.org/W1997946854","https://openalex.org/W2017488879","https://openalex.org/W2045891863","https://openalex.org/W2049774092","https://openalex.org/W2054504007","https://openalex.org/W2066529756","https://openalex.org/W2095817904","https://openalex.org/W2118475664","https://openalex.org/W2120062331","https://openalex.org/W2584020404","https://openalex.org/W2801179766"],"related_works":["https://openalex.org/W2020567882","https://openalex.org/W2739495308","https://openalex.org/W2528333032","https://openalex.org/W2021209870","https://openalex.org/W4323831470","https://openalex.org/W2002427023","https://openalex.org/W2071792624","https://openalex.org/W1979845124","https://openalex.org/W2012709527","https://openalex.org/W1994836458"],"abstract_inverted_index":{"We":[0],"combine":[1],"polynomial":[2],"techniques":[3],"with":[4,17],"some":[5],"geometric":[6],"arguments":[7],"to":[8,36],"obtain":[9],"restrictions":[10],"of":[11,14,31],"the":[12,27],"structure":[13],"spherical":[15],"designs":[16,33],"fixed":[18],"odd":[19,22],"strength":[20],"and":[21],"cardinality.":[23],"Our":[24],"bounds":[25],"for":[26,46],"extreme":[28],"inner":[29],"products":[30],"such":[32],"allow":[34],"us":[35],"prove":[37],"nonexistence":[38],"results":[39],"in":[40],"many":[41],"cases.":[42],"Applications":[43],"are":[44],"shown":[45],"7-designs.":[47]},"counts_by_year":[{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-02T13:48:15.688549","created_date":"2025-10-10T00:00:00"}
