About Asymmetric Execution of the Asymmetric ElGamal Cipher

The paper continues the consideration of the concept of asymmetrically executable cryptosystems (ciphers), introduced by A. A. Varfolomeev at the SibCon 2016 and RusCrypto 2018 conferences, as applied to the ElGamal asymmetric cipher. These cryptosystems (ciphers) significantly increase the difficulty for an attacker to recover plain text with various regulatory restrictions on the size of cryptographic keys. A method for transforming a classical asymmetric cipher into an asymmetrically executable is proposed.