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COMMON BLOCKS FOR AS QS(12) LORENZO MILAZZO
An ASQS(v) is a particular Steiner system featuring a set of v vertices and two separate families of blocks, B and G, whose elements have a respective cardinality of 4 and 6. It has the property that any three vertices of X belong either to a B-block or to a G-block. The parameter cb is the number of common blocks in two separate ASQSs, both de�ned on the same set of vertices X. In this paper it is shown that cb ≤ 29 for any pair of ASQSs(12).fatcat:bhaizpsy5jhzfgionm7l4brf2e