Cryptographic Strengthening of MST3 cryptosystem via Automorphism Group of Suzuki Function Fields

Abstract

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