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How to Compartment Secrets: Trust Everybody, but Cut the Cards

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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Submitted on : Thursday, March 18, 2021 - 5:38:50 PM
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Gaëlle Candel, Rémi Géraud-Stewart, David Naccache. How to Compartment Secrets: Trust Everybody, but Cut the Cards. 13th IFIP International Conference on Information Security Theory and Practice (WISTP), Dec 2019, Paris, France. pp.3-11, ⟨10.1007/978-3-030-41702-4_1⟩. ⟨hal-03173906⟩

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