Considered cryptosystems such as Cardano square lattices are characterized by the high-speed encryption in use today Enhanced Programming computers. This is because the number of different variants rapidly increases with the size of a square. In this paper we have shown that, for the size of 20 × 20, the number of such grids exceeds the number of 1.6 × 2 60 . Therefore, these systems have sufficient cryptographic resistance. Application of these systems in conjunction with substitution cipher can still more resist cryptographic attacks.

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