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On Cyclic Caps in Projective Spaces

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Abstract

Let H be a subgroup of a cyclic Singer group of PG (n,q). In this paper we study the following problem: When is a point orbit of H a cap? A necessary and sufficient condition for this is derived and used to give a short proof of some results by Ebert [6] and to show that small orbits are typically caps.

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Szőnyi, T. On Cyclic Caps in Projective Spaces. Designs, Codes and Cryptography 8, 327–332 (1996). https://doi.org/10.1023/A:1027307908013

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  • DOI: https://doi.org/10.1023/A:1027307908013

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