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Are M and C correlated? No. The distribution that the values the M and C may take on are independent of each other. The condition probability distribution that M has is unchanged no matter what the observed C value is. This is true whether you are using the statistical meaning of correlation, or whether you are looking more specifically at linear ...

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Imagine the following three scenarios. In each, you intercept an encrypted message and you know from context: the message is a randomly chosen key in $\{0,1\}^n$ for some other cryptosystem the message is either "It's a boy!_" or "It's a girl!", both are equally likely the message is a vote from someone in a referendum; it's either "yes" or "no_", and the ...

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The usage of the r key forces both parties to "fix" the public DH keys. So Alice doesn't know Bob's public DH key before she's generating her own one. And Bob can not make the choice of the public key dependant on Alice's choice and vice versa. This forces both parties to be honest and to generate both public keys at random as there is no opportunity to ...

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This would read out to the following: (I'm citing myself here) An encryption scheme, defined by key generator, encryption function and decryption function over a message space $M$ is perfectly secret if for every probability for a message $m$, for every message $m$ and every ciphertext $c$ which might occur ($Pr[C=c]>0$), ...... the ...

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