How to Compartment Secrets
Abstract
Secret sharing splits a secret s into $$\ell $$ shares in such a way that $$k\le \ell $$ shares suffice to reconstruct s. Let $$\rho _{i,j}$$ be the probability that shareholder i disclose their share to shareholder j, with $$0 \le i,j < n$$ .Given $$k \le \ell \le n$$ , to whom $$\ell $$ individuals should we hand shares, if we wish to minimize the probability that one of them reconstitutes s?
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