Encryption Scheme Based on the Automorphism Group of the Suzuki Function Field

The article describes a new implementation of MST3 cryptosystems based on the automorphism group of the field of the Suzuki function. The main difference in the presented implementation is to use the logarithmic signature for encryption not only in the center of group, as in the well-known implementation of MST3 for Suzuki groups, but also for coordinates outside the center of the group. The presented implementation of a cryptosystem has a greater reliability. The complexity of cryptanalysis and the size of the message for encryption squared is greater than that of the MST3 cryptosystem on the Suzuki group.