标题： 基于广义 Suzuki 2-群的高级 MST3 加密方案 显示英文标题

标题： Advanced MST3 Encryption scheme based on generalized Suzuki 2-groups

摘要： 本文提出了一种增强MST3密码系统中广义Suzuki 2-群加密算法的方法。基于Suzuki群的传统MST密码系统使用受限于群中心的对数签名（LS），导致对数签名的大量数组。我们提出了一种基于多参数非交换群的加密方案，具体选择多参数广义Suzuki 2-群作为群构造框架。在我们的方法中，对数签名覆盖整个群，密码安全依赖于群阶。这种设计使得可以开发出由对数签名大小决定的实现效率优化的加密，同时通过适当的密钥大小和群表示的有限域保持强大的安全性。我们加密实现的主要创新在于使用对数签名和相关密钥从密文中依次解封装密钥。密码的安全性评估依赖于攻击复杂度分析，该分析通过全面的密钥枚举方法进行量化。 显示英文摘要

摘要： 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.