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In 2002, Russell and Wang proposed a definition of entropically security thatwas developed within the framework of secret key cryptography. Anentropically-secure system is unconditionally secure, that is, unbreakable,regardless of the enemy's computing power. In 2004, Dodis and Smith developedthe results of Russell and Wang and, in particular, stated that the concept ofan entropy-protected symmetric encryption scheme is extremely important forcryptography, since it is possible to construct entropy-protected symmetricencryption schemes with keys much shorter than the keys. the length of theinput data, which allows you to bypass the famous lower bound on the length ofthe Shannon key. In this report, we propose an entropy-protected scheme for thecase where the encrypted message is generated by a Markov chain with unknownstatistics. The length of the required secret key is proportional to thelogarithm of the length of the message (as opposed to the length of the messageitself for the one-time pad).

Entropically secure cipher for messages generated by Markov chains with unknown statistics