Abstract:

Secure Multi-Party Computation is an important research field in cryptography, playing an extremely important role in guaranteeing the information security. The mental poker game utilizes the network to play poker, which can be regarded as a kind of special Secure Multi-Party Computation. Combining the advantage of Hyper-elliptic Curve Cryptosystem with the relevant demands for the mental poker game, this article puts forward a safe mental poker protocol with two parts under hostile model, proves the exactness of the protocol, analyses the security of the protocol under hostile model, and provides calculation complexity and communication complexity of the protocol.

Key words: Secure Multi-Party Computation;the intelligence poker;hyper elliptic

摘要：

安全多方计算是密码学中的一个重要研究领域，在保障信息安全中发挥着极其重要的作用。智力扑克游戏是指利用网络玩扑克牌，它可以视为一种特殊的安全多方计算。根据智力扑克游戏的有关要求，结合超椭圆曲线密码体制的优点，提出了一种恶意模型下安全的智力扑克协议，证明了协议的正确性，分析了在恶意模型下协议的安全性，给出了协议的计算复杂度和通信复杂度。

关键词: 安全多方计算;智力扑克;超椭圆曲线