Question: Let G be a secure PRG, and (E, D) a cipher. In each of the following, either prove that the PRG or cipher is secure,

Let G be a secure PRG, and (E, D) a cipher.

Let G be a secure PRG, and (E, D) a cipher. In each of the following, either prove that the PRG or cipher is secure, or show how to break it. a. Is G'(k) = G(k)||G(k) a secure PRG? Here, "Il" denotes concatenation. b. Is G' (ko, k1) = G(ko)||G(k1) a secure PRG? c. Finally, let E(k, m) = G(k) O m||G(k) O m. Is this encryption scheme semantically secure? Let G be a secure PRG, and (E, D) a cipher. In each of the following, either prove that the PRG or cipher is secure, or show how to break it. a. Is G'(k) = G(k)||G(k) a secure PRG? Here, "Il" denotes concatenation. b. Is G' (ko, k1) = G(ko)||G(k1) a secure PRG? c. Finally, let E(k, m) = G(k) O m||G(k) O m. Is this encryption scheme semantically secure

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