Advanced MST3 Encryption scheme based on generalized Suzuki 2-groups

Abstract

This article presents a method for enhancing the encryption algorithm in the MST3 cryptosystem for generalized Suzuki 2-groups. The conventional MST cryptosystem based on Suzuki groups utilizes logarithmic signatures (LS) restricted to the center of the group, resulting in an expansive array of logarithmic signatures. We propose an encryption scheme based on multi-parameter non-commutative groups, specifically selecting multi-parameter generalized Suzuki 2-groups as the group construction framework. In our approach, the logarithmic signature extends across the entire group, with cipher security dependent on the group order. This design enables the development of encryption optimized for implementation efficiency determined by logarithmic signature size while maintaining robust security through appropriate key sizes and the finite field of group representation. The primary innovation in our encryption implementation lies in the sequential de-encapsulation of keys from ciphertext using logarithmic signatures and associated keys. The security evaluation of the cipher relies on attack complexity analysis, which is quantified through comprehensive key enumeration methodologies.