About the number of maximal subsystems in S(2,4,v)
Abstract
It's of great interest, to find systems S(2,4,v) with subsystems S(2,4,r=1/3(v-1)) – known as maximal subsystems. Up to now there exist only a few results – mainly due to Resmini and Shen.
In this paper we prove a new partial result:
Exactly for all v∊{121,40}+108N there exists a system S(2,4,v) with exactly two, but also a system with exactly four maximal subsystems.
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