# Reduced designs constructed by Key-Moori Method 2 and their connection with Method 3

Document Type : Original Article

Author

School of Mathematical and Computer Sciences, University of Limpopo (Turfloop) Sovenga, South Africa

Abstract

For a 1-(ν,κ,λ) design $\mathcal{D}$ containing a point $x$, we study the set $I_x$, the intersection of all blocks of $\mathcal{D}$ containing $x$. We use the set $I_x$ together with the Key-Moori Method 2 to construct reduced designs invariant under some families of finite simple groups. We also show that there is a connection between reduced designs constructed by Method 2 and the new Moori Method 3.

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