Geodesic
On the concept of a~$\varepsilon$-perfect cipher
Prikladnaâ diskretnaâ matematika, no. 3 (2016), pp. 45-52.

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The generalizations of the perfect cipher concept are discussed. A cipher is called $\varepsilon$-perfect if the maximum absolute value of the difference between the posterior and prior probabilities of a plaintext does not exceed $\varepsilon$. Two constructions of $\varepsilon$-perfect ciphers for a multitude of plaintexts with a minor limitation of their frequency characteristics are studied. The notion of $\varepsilon$-perfect cipher is one of the possible approximations to the notion of a perfect cipher. For studied constructions of ciphers, it is shown that, in comparison with the other such approximations, $\varepsilon$-perfectness and its analogues have much better proximity to perfectness.
Keywords: perfect cipher, $\varepsilon$-perfect cipher. 
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A. Yu. Zubov. On the concept of a~$\varepsilon$-perfect cipher. Prikladnaâ diskretnaâ matematika, no. 3 (2016), pp. 45-52. http://geodesic.mathdoc.fr/item/PDM_2016_3_a2/

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