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A type of monoalphabetic substitution cipher, wherein each letter in an alphabet is mapped to its numeric equivalent, encrypted using a simple function `(ax + b) mod m`.

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Perfect secrecy of affine cipher

Given any probability distribution P r on the set $\{k ∈ \mathbb{Z}_{26} : \gcd(k, 26) = 1\}$. Show that the Affine Cipher achieves perfect secrecy if the key (k, a) is used with probability $Pr(k) ·( …