{"id":"https://openalex.org/W2467369624","doi":"https://doi.org/10.1134/s003294601103001x","title":"New (n, r)-arcs in PG(2, 17), PG(2, 19), and PG(2, 23)","display_name":"New (n, r)-arcs in PG(2, 17), PG(2, 19), and PG(2, 23)","publication_year":2011,"publication_date":"2011-09-01","ids":{"openalex":"https://openalex.org/W2467369624","doi":"https://doi.org/10.1134/s003294601103001x","mag":"2467369624"},"language":"en","primary_location":{"id":"doi:10.1134/s003294601103001x","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s003294601103001x","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/A5076750597","display_name":"Rumen Daskalov","orcid":"https://orcid.org/0000-0001-7441-4757"},"institutions":[{"id":"https://openalex.org/I64251745","display_name":"Technical University of Gabrovo","ror":"https://ror.org/028d5by70","country_code":"BG","type":"education","lineage":["https://openalex.org/I64251745"]}],"countries":["BG"],"is_corresponding":true,"raw_author_name":"R. Daskalov","raw_affiliation_strings":["Department of Mathematics, Technical University of Gabrovo, Gabrovo, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technical University of Gabrovo, Gabrovo, Bulgaria","institution_ids":["https://openalex.org/I64251745"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089022678","display_name":"Elena Metodieva","orcid":null},"institutions":[{"id":"https://openalex.org/I64251745","display_name":"Technical University of Gabrovo","ror":"https://ror.org/028d5by70","country_code":"BG","type":"education","lineage":["https://openalex.org/I64251745"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"E. Metodieva","raw_affiliation_strings":["Department of Mathematics, Technical University of Gabrovo, Gabrovo, Bulgaria"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Technical University of Gabrovo, Gabrovo, Bulgaria","institution_ids":["https://openalex.org/I64251745"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5076750597"],"corresponding_institution_ids":["https://openalex.org/I64251745"],"apc_list":null,"apc_paid":null,"fwci":0.4276,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.76429492,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"47","issue":"3","first_page":"217","last_page":"223"},"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":0.9987999796867371,"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/T10849","display_name":"Finite Group Theory Research","score":0.9986000061035156,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/arc","display_name":"Arc (geometry)","score":0.868990421295166},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.757109522819519},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6776596307754517},{"id":"https://openalex.org/keywords/projective-plane","display_name":"Projective plane","score":0.6071068644523621},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.46862509846687317},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4535381495952606},{"id":"https://openalex.org/keywords/table","display_name":"Table (database)","score":0.43595874309539795},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.35549649596214294},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0677109956741333},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.039084285497665405}],"concepts":[{"id":"https://openalex.org/C83415579","wikidata":"https://www.wikidata.org/wiki/Q161973","display_name":"Arc (geometry)","level":2,"score":0.868990421295166},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.757109522819519},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6776596307754517},{"id":"https://openalex.org/C39290043","wikidata":"https://www.wikidata.org/wiki/Q1475760","display_name":"Projective plane","level":3,"score":0.6071068644523621},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.46862509846687317},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4535381495952606},{"id":"https://openalex.org/C45235069","wikidata":"https://www.wikidata.org/wiki/Q278425","display_name":"Table (database)","level":2,"score":0.43595874309539795},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.35549649596214294},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0677109956741333},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.039084285497665405},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"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:10.1134/s003294601103001x","is_oa":false,"landing_page_url":"https://doi.org/10.1134/s003294601103001x","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W59572088","https://openalex.org/W1995183330","https://openalex.org/W1997277729","https://openalex.org/W2009045150","https://openalex.org/W2229871733","https://openalex.org/W2520799042","https://openalex.org/W2961548648","https://openalex.org/W3125467856"],"related_works":["https://openalex.org/W2040976798","https://openalex.org/W3006266956","https://openalex.org/W2554495525","https://openalex.org/W2549201271","https://openalex.org/W2047714933","https://openalex.org/W3109151171","https://openalex.org/W2732041837","https://openalex.org/W4252675521","https://openalex.org/W1576273872","https://openalex.org/W4300944654"],"abstract_inverted_index":{"An":[0],"(n,":[1,29,73],"r)-arc":[2,30],"is":[3,34,90],"a":[4,10,44,61,81],"set":[5],"of":[6,9,20,27],"n":[7],"points":[8],"projective":[11],"plane":[12],"such":[13],"that":[14],"some":[15],"r":[16,38,87],"but":[17],"no":[18],"r+1":[19],"them":[21],"are":[22,56,78,100,104],"collinear.":[23],"The":[24,102],"maximum":[25],"size":[26],"an":[28],"in":[31,53,67,75],"PG(2,":[32,54,68,76],"q)":[33],"denoted":[35],"by":[36,106],"m":[37,86],"(2,":[39,88],"q).":[40],"In":[41,92],"this":[42,93],"paper":[43],"new":[45,96],"(95,":[46],"7)-arc,":[47],"(183,":[48],"12)-arc,":[49],"and":[50,64,80],"(205,":[51],"13)-arc":[52],"17)":[55],"constructed,":[57],"as":[58,60],"well":[59],"(243,":[62],"14)-arc":[63],"(264,":[65],"15)-arc":[66],"19).":[69],"Likewise,":[70],"good":[71],"large":[72],"r)-arcs":[74],"23)":[77,89],"constructed":[79],"table":[82],"with":[83],"bounds":[84],"on":[85],"presented.":[91],"way":[94],"many":[95],"3-dimensional":[97],"Griesmer":[98],"codes":[99],"obtained.":[101],"results":[103],"obtained":[105],"nonexhaustive":[107],"local":[108],"computer":[109],"search.":[110]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"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"}
