Give plaintext thus alice''s design is not perfectly secure

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Reference no: EM133693519

Problem: Alice design is to use an AND gate to encode instead of a XOR gate used by a One-Time Pad. To decide if Alice design is good, it will need to be perfectly secure like one time pad. Alice design must be P(M|C) = P(M), Thus having either the cipher or plaintext will not give the other away. Alice design: C = M AND K and the P(K = k) = 2^-n P(C = c|M = m) = P(M AND K = c|M = m) = P(m AND K = c) but doesn't equal P(K = c AND m) as AND isn't commutative and multiple K's can equal c AND m like with the XOR operation. This means P(M|C) which is not equal to P(M) and having the cipher text would completely give the plaintext thus Alice's design is not perfectly secure thus not good.

Reference no: EM133693519

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