FIELD: computer technology.
SUBSTANCE: invention relates to the field of computer technology and can be used in information processing and data protection systems. A secret key, a re-encryption key are generated, data encryption is performed. In this case, the formation of the secret key K(X) occurs by generating a matrix polynomial of degree N, and when encrypting data, a matrix M with an eigenvector 
is formed with an eigenvalue equal to the plaintext, with being the vector of length N. In this case, the data encryption method additionally contains a stage at which the function is calculated from the encrypted data to obtain the result in encrypted form.
EFFECT: increase in the security of information in an untrusted environment.
2 cl, 3 dwg
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