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Confidentiality in a very strong sense. Ciphers reaching perfect-secrecy can't be broken to disclose informations over the plaintext from the ciphertext, even with unlimited computing power. The most known example cipher reaching perfect screcy is the one-time-pad.
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A perfect $(2; 2)$-threshold scheme
Given a symmetric encryption scheme with $|K| = |C| = |M|$ that provides perfect
secrecy, it is possible to share a secret $s ∈ M$ between two players by giving one
player a key $k ∈ K$ and the other …
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Distributing shares in a particular monotone access structure
Consider 6 people, $A,B,C,D,E,F$ and a secret. Construct a scheme which enables the following subsets of people to retrieve the secret:
three players from the set $\{A,B,C,D\}$
two players from the …