Multiple blocking sets and multisets in Desarguesian planes

作者：Aguglia Angela^*; Korchmaros Gabor

来源：Designs, Codes and Cryptography, 2010, 56(2-3): 177-181.

DOI：10.1007/s10623-010-9397-5

• Multiple blocking set
• Multiset

In AG(2, q (2)), the minimum size of a minimal (q - 1)-fold blocking set is known to be q (3) - 1. Here, we construct minimal (q - 1)-fold blocking sets of size q (3) in AG(2, q (2)). As a byproduct, we also obtain new two-character multisets in PG(2, q (2)). The essential idea in this paper is to investigate q (3)-sets satisfying the opposite of Ebert's discriminant condition.

• 出版日期2010-8