Blocking semiovals of Type (1,M+1,N+1)
Data(s) |
01/01/2001
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Resumo |
We consider the existence of blocking semiovals in finite projective planes which have intersection sizes 1, m+1 or n+1 with the lines of the plane for $1 \leq m < n$. For those prime powers $q \leq 1024$, in almost all cases, we are able to show that, apart from a trivial example, no such blocking semioval exists in a projective plane of order q. We are also able to prove, for general q, that if q2+q+1 is a prime or three times a prime, then only the same trivial example can exist in a projective plane of order q. <br /><br /><br /> |
Identificador | |
Idioma(s) |
eng |
Publicador |
Society for Industrial & Applied Mathematics |
Relação |
http://dro.deakin.edu.au/eserv/DU:30001415/batten-blockingsemiovalsoftype-2001.pdf http://dro.deakin.edu.au/eserv/DU:30001415/n20011442.pdf http://search.ebscohost.com/login.aspx?direct=true&db=a9h&AN=13207545&site=ehost-live |
Direitos |
Reproduced with the specific permission of the copyright owner. |
Palavras-Chave | #projective planes #blocking sets #semiovals |
Tipo |
Journal Article |