Ovoidal blocking sets and maximal partial ovoids of Hermitian varieties

Author： Marino G.   Polverino O.  

Publisher： Springer Publishing Company

ISSN： 0925-1022

Source： Designs, Codes and Cryptography, Vol.56, Iss.2-3, 2010-08, pp. : 115-130

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Abstract

In Mazzocca et al. (Des. Codes Cryptogr. 44:97–113, 2007), large minimal blocking sets in PG(3, q 2) and PG(4, q 2) have been constructed starting from ovoids of PG(3, q), Q(4, q) and Q(6, q). Some of these can be embedded in a Hermitian variety as maximal partial ovoids. In this paper, the geometric conditions assuring these embeddings are established.

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