Geodesic
Description of non-endomorphic maximum perfect ciphers with two-valued plaintext alphabet
Prikladnaâ diskretnaâ matematika, no. 4 (2015), pp. 43-55

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This paper deals with non-endomorphic perfect (according to Shannon) ciphers, which are absolutely immune against the ciphertext-only attacks in the case when plaintext alphabet consists of two elements. Matrices of probabilities of cipher keys are described in terms of linear algebra on the basis of Birkhoff's theorem (about the classification of doubly stochastic matrices). The set of possible values of a priori probabilities for elements in ciphertext alphabet of a perfect cipher is constructed.
Keywords: perfect ciphers, non-endomorphic ciphers, maximum ciphers, doubly stochastic matrices. 
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     author = {N. V. Medvedeva and S. S. Titov},
     title = {Description of non-endomorphic maximum perfect ciphers with two-valued plaintext alphabet},
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N. V. Medvedeva; S. S. Titov. Description of non-endomorphic maximum perfect ciphers with two-valued plaintext alphabet. Prikladnaâ diskretnaâ matematika, no. 4 (2015), pp. 43-55. http://geodesic.mathdoc.fr/item/PDM_2015_4_a3/