Abstract | ||
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blocking semioval in a projective plane is a set of points which is both a semioval and a blocking set. In this paper, blocking semiovals in the Desaguesian projective plane $$\mathrm{PG}(2,s^2)$$ PG ( 2 , s 2 ) admitting an order $$s+1$$ s + 1 homology group are considered. The geometry of the point-orbits of such a group is studied. Using this geometry two new blocking semiovals are constructed in $$\mathrm{PG}(2,5^2)$$ PG ( 2 , 5 2 ) . Their automorphism group is also discussed. |
Year | DOI | Venue |
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2014 | 10.1007/s10623-013-9844-1 | Designs, Codes and Cryptography |
Keywords | Field | DocType |
Projective planes,Blocking set,Semioval,Blocking semioval,05B25,51E20,51E21,94A60 | Discrete mathematics,Automorphism group,Blocking set,Combinatorics,Homology (biology),Projective plane,Mathematics,Homology (mathematics) | Journal |
Volume | Issue | ISSN |
72 | 1 | 0925-1022 |
Citations | PageRank | References |
1 | 0.37 | 5 |
Authors | ||
2 |
Name | Order | Citations | PageRank |
---|---|---|---|
Nicola Durante | 1 | 27 | 10.53 |
Alessandro Siciliano | 2 | 21 | 5.76 |