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Encryption is the process of transforming plaintext using a cipher into ciphertext to make it unreadable to anyone except those possessing the key. Decryption is the process of transforming that ciphertext back into plaintext, using the key.
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Digital signature with Big Brother
Alice - knowing $K_A$ - sends $K_A(B, R_A, t, P)$ to $BB$.
$BB$ - knowing $K_A$ - decrypts $K_A(B, R_A, t, P)$, obtaining $(B, R_A, t, P)$.
$BB$ - knowing $K_B$ and $K_{BB}$ - sends $K_B(A, R_A, t, P, …