TY - JOUR ID - 5004 TI - Reduced designs constructed by Key-Moori Method $2$ and their connection with Method $3$ JO - AUT Journal of Mathematics and Computing JA - AJMC LA - en SN - 2783-2449 AU - Saeidi, Amin AD - School of Mathematical and Computer Sciences, University of Limpopo (Turfloop) Sovenga, South Africa Y1 - 2023 PY - 2023 VL - 4 IS - 1 SP - 39 EP - 46 KW - Reduced design KW - Key-Moori Method 2 KW - Method 3 KW - simple group DO - 10.22060/ajmc.2022.21378.1092 N2 - 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. UR - https://ajmc.aut.ac.ir/article_5004.html L1 - https://ajmc.aut.ac.ir/article_5004_325b9b25249b947a3da5bc02cb7700f3.pdf ER -