Construction of (n,r)-Arcs in PG(2,q)
        
 
        
                        
                                                          
                                 Michael
                                  Braun
                                                           ;
                         
                                                          
                                 Axel
                                  Kohnert
                                                           ;
                         
                                                          
                                 Alfred
                                  Wassermann
                                                           ;
                         
             
         
 
        
 
        
                        
             
         
 
 
 
Innovations in Incidence Geometry,
 
ISBN/ISSN/ISMV Nummer:17816475
 
 
   in:
       
     Innovations in Incidence Geometry, 
      
      
       
     Jg.:2005,
        
      
     Bd.:1,
        
       
          
      S.: 133
       - 141
      
 
   
Doi-Nummer:  
    
  
  
   
 
Abstract:  
   
We construct new (n,r)-arcs in PG(2,q) by prescribing a group
of automorphisms and solving the resulting Diophantine linear system
with lattice point enumeration. We can improve the known lower bounds
for q=11,13,16,17,19 and give the first example of a double blocking
set of size n in PG(2,p) with n<3p and p prime.  
  
  
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