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Implementation details for the cipher key generation Cardano permutation

The features of the development of a reliable system of key reshuffle generation has been considered. This system is based on a classical cipher Girolamo Cardano “square lattice,” which corresponds to the modern mathematical formulation. In general, the system allows you to generate a sequence of random numbers in a given range without repeat. With the use of the main provisions of matrix algebra, a mathematical formulation of the algorithm “square lattice” for the generation of permutation keys has been developed. Also shown the mathematical formulation of the algorithm permutation of the rows of an incoming message, where the number of columns can be arbitrary.