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Threshold cryptography is the art of chopping a secret into little bits, so that the secret can only be learned by possessing more than a threshold number of those bits.

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Formal Proof of Shamir's Secret Sharing Scheme Security

Let's recall Shamir's Secret Sharing. We work in a finite field $\mathbb{F}_q$ of cardinal $q$. The secret to share is $s$; we want $n$ shares with a threshold $t$. We suppose that $n < q$ (otherwise, …
Thomas Pornin's user avatar