# Suppose a cryptosystem (P,C,K,E,D) provides perfect secrecy. Deduc...

## Question

Suppose a cryptosystem (P,C,K,E,D) provides perfect secrecy. Deduce that
H(C) =H(K)−H(K|(C,P))

## Solution Preview

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H(K,P,C)=H(K|(C,P)) + H(C,P) (1)
But H(C,P)=H(C)+H(P)
On the other hand, H(P|C)=H(P,C)-H(C)
Since the system has perfect secrecy =>...

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