We introduce a new method to describe tactical (de-)compositions of symmetric configurations via block (0,1)-matrices with constant row and column sum having circulant blocks. This method allows us to prove the existence of an infinite class of symmetric configurations of type $(2p^2)_{p+s }$ where p is any prime and s≤t is a positive integer such that t−1 is the greatest prime power with $t^2−t+1≤p$. In particular, we obtain a new configuration $98_{10}$.
Tactical (de-)compositions of symmetric configurations
FUNK, Martin;LABBATE, Domenico;
2009-01-01
Abstract
We introduce a new method to describe tactical (de-)compositions of symmetric configurations via block (0,1)-matrices with constant row and column sum having circulant blocks. This method allows us to prove the existence of an infinite class of symmetric configurations of type $(2p^2)_{p+s }$ where p is any prime and s≤t is a positive integer such that t−1 is the greatest prime power with $t^2−t+1≤p$. In particular, we obtain a new configuration $98_{10}$.File in questo prodotto:
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