FIELD: information technology.
SUBSTANCE: secrete key which is a set based on a mixed number system is used to obtain an encrypted message through nonlinear transformation of information in the mixed number system. The sender then sends the encrypted message over a clear channel to a recipient and the recipient, who knows the secret key and encrypted message, computes the original message. The secret key is sent to the sender and the recipient over a closed channel before the communication session.
EFFECT: high security of the secret key from cracking by enumeration of possibilities, high rate of encryption.
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