Abstract
A 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 \(\mathrm{PG}(2,s^2)\) admitting an order \(s+1\) 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 \(\mathrm{PG}(2,5^2)\). Their automorphism group is also discussed.
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We would like to thank the referees for their helpful remarks. We appreciate their thoughtfulness and attention to detail, and are grateful to them.
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This is one of several papers published in Designs, Codes and Cryptography comprising the special topic on “Finite Geometries: A special issue in honor of Frank De Clerck”.
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Durante, N., Siciliano, A. Some blocking semiovals of homology type in planes of square order. Des. Codes Cryptogr. 72, 185–193 (2014). https://doi.org/10.1007/s10623-013-9844-1
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DOI: https://doi.org/10.1007/s10623-013-9844-1