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Let $\Omega$ be a set of entities. An *access structure* $\mathcal{A}$ is a collection of nonempty subsets of the power set $P(\mathcal{A})$. This structure is called *monotone*, if $A\in\mathcal{A}$ implies $B\in\mathcal{A}$ for all supersets $B\supseteq A$
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Distributing shares in a particular monotone access structure
Well, the easiest way I can see to represent this access structure is:
Select three random values $r_1, r_2, r_3$
Generate a threshold-2 secret sharing scheme with the secret $S$ (where $S$ is the u …