{"title":"PG（2，q）中新的大（n，r）弧","authors":"R. Daskalov","doi":"10.52547/ijmsi.17.1.125","DOIUrl":null,"url":null,"abstract":". An ( n,r )-arc is a set of n points of a projective plane such that some r , but no r +1 of them, are collinear. The maximum size of an ( n,r )-arc in PG(2 ,q ) is denoted by m r (2 ,q ). In this paper we present a new (184 , 12)-arc in PG(2 , 17) , a new (244 , 14)-arc and a new (267 , 15)-arc in PG(2 , 19) .","PeriodicalId":43670,"journal":{"name":"Iranian Journal of Mathematical Sciences and Informatics","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2022-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"New Large (n, r)-arcs in PG(2, q)\",\"authors\":\"R. Daskalov\",\"doi\":\"10.52547/ijmsi.17.1.125\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". An ( n,r )-arc is a set of n points of a projective plane such that some r , but no r +1 of them, are collinear. The maximum size of an ( n,r )-arc in PG(2 ,q ) is denoted by m r (2 ,q ). In this paper we present a new (184 , 12)-arc in PG(2 , 17) , a new (244 , 14)-arc and a new (267 , 15)-arc in PG(2 , 19) .\",\"PeriodicalId\":43670,\"journal\":{\"name\":\"Iranian Journal of Mathematical Sciences and Informatics\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2022-04-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Iranian Journal of Mathematical Sciences and Informatics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.52547/ijmsi.17.1.125\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Iranian Journal of Mathematical Sciences and Informatics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52547/ijmsi.17.1.125","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
. An ( n,r )-arc is a set of n points of a projective plane such that some r , but no r +1 of them, are collinear. The maximum size of an ( n,r )-arc in PG(2 ,q ) is denoted by m r (2 ,q ). In this paper we present a new (184 , 12)-arc in PG(2 , 17) , a new (244 , 14)-arc and a new (267 , 15)-arc in PG(2 , 19) .
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