%0 Journal Article
%T Reduced designs constructed by Key-Moori Method $2$ and their connection with Method $3$
%J AUT Journal of Mathematics and Computing
%I Amirkabir University of Technology
%Z 2783-2449
%A Saeidi, Amin
%D 2023
%\ 02/01/2023
%V 4
%N 1
%P 39-46
%! Reduced designs constructed by Key-Moori Method $2$ and their connection with Method $3$
%K Reduced design
%K Key-Moori Method 2
%K Method 3
%K simple group
%R 10.22060/ajmc.2022.21378.1092
%X For a 1-$(v,k,\lambda)$ 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.
%U https://ajmc.aut.ac.ir/article_5004_5c551e6a99a7f4c41ce90de20b9c48e8.pdf