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Example of a perfect stream cipher

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The Vernam cipher is an example of a perfect stream cipher. Now consider the following encryption yi = (binary message xi) xor (binary key ki).

(a) For the probability Pr(ki = 0) = 0.5 and Pr(xi = 0) = 0.25 calculate Pr(yi = 0) and Pr(yi = 1).

(b) For the probability Pr(ki = 0) = 0.4 and Pr(xi = 0) = 0.3 calculate Pr(yi = 0) and Pr(yi = 1).

(c) For the probability Pr(ki = 0) = 0.4 and Pr(xi = 0) = 0.4 calculate Pr(yi = 0) and Pr(yi = 1).

(d) For the probability Pr(ki = 0) = 0.4 and Pr(yi = 0) = 0.3 calculate Pr(xi = 0) and Pr(xi = 1).

(e) For the probability Pr(ki = 0) = 0.25 and Pr(xi = 0) = 0.4 calculate Pr(yi = 0) and Pr(yi = 1).

Reference no: EM132398833

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