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Given E being semantically secure which one of the following constructions are also semantically secure. Give a high level description of the proof for your
Given E being semantically secure which one of the following constructions are also semantically secure. Give a high level description of the proof for your answer for each item. (If E' is semantically secure, you can prove this by showing that if it weren't you could break the semantic security of E via an adversary. If E' is not semantically secure you can prove this by describing an adversary that breaks its semantic security with non-negligible advantage). a) E1(k, m) := (0, E(k, m)) (parentheses represent concatenation) b) E2(k, m) := (E(k, m), parity(m)) c) E3(k, m) := reverse(Ek, m)) d) E4(k, m) := E(k, reverse(m)) Where reverse() reverses the order of bits in m. Given E being semantically secure which one of the following constructions are also semantically secure. Give a high level description of the proof for your answer for each item. (If E' is semantically secure, you can prove this by showing that if it weren't you could break the semantic security of E via an adversary. If E' is not semantically secure you can prove this by describing an adversary that breaks its semantic security with non-negligible advantage). a) E1(k, m) := (0, E(k, m)) (parentheses represent concatenation) b) E2(k, m) := (E(k, m), parity(m)) c) E3(k, m) := reverse(Ek, m)) d) E4(k, m) := E(k, reverse(m)) Where reverse() reverses the order of bits in m
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