Bodypainting. Fantastische Gesichter by Matthias von Matuschka

By Matthias von Matuschka

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The challenger randomly chooses a bit b ← {0, 1} and computes the challenge R ciphertext C ∗ ← Encrypt(pkenc , m b ). ∗ 4. The attacker runs AO 2 (C , α) to produce a bit b . The attacker wins the game if b = b . 4) Just as with signature schemes, the oracle defines the power that the attacker has in the attack model. There are two options: • In a chosen ciphertext attack (CCA2), the attacker has access to a decryption oracle, which takes as input a ciphertext C ∈ C and outputs the message m ← Decrypt(skenc , C).

Unlike the insider security model, we show that in the weaker outsider security model, it is possible to amplify the security of encryption using signatures as well as the security of signatures using encryption, exactly like in the symmetric setting [9, 26, 117]. In particular, we can obtain a IND-CCA2 secure signcryption scheme via the EtS method from a IND-CPA secure base encryption scheme with the aid of a “strong” base signature scheme. Similarly, we can obtain the sUF-CMA security via the StE method from a UF-NMA secure base signature scheme with the aid of a “strong” base encryption scheme.

Next, A gets the message part c and re-signs c by computing R sig a “new” signature σ ← Sign(sk S , c) of c, where σ = σ , and then queries the induced decryption oracle with C = (c, σ ). Notice that since we assumed S is probabilistic (not deterministic), with a non-negligible probability one can find a different signature for the same message in polynomial time. Since C = C, and σ is a valid signature of c, A can obtain the decryption of c. Once the decrypted message m is obtained, A compares it with its own message pair (m 0 , m 1 ) and outputs the bit b where m b = m.

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