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