The fair problem of secure multiparty computation protocol was investigated in the universally composable framework. A fair secure multiparty computation model with ideal functionalities was firstly formulated such as a fair secure multiparty addition computation and a fair secure multiparty multiplicative computation. Next a fair addition computation protocol and a fair multiplicative computation protocol based on the bilinear paring and the ideal functionality of a commit-ment scheme was proposed. The proposed protocols can securely realize their ideal functionalities in the hybrid model re-spectively. Finally, analysis show that these schemes are effective, and it can be more applicable in special situation.%在通用可组合框架下研究安全多方计算的公平性问题。在 UC框架下,提出公平安全多方计算的安全模型。在模型中形式化定义了公平安全多方加法计算理想函数FFSMPA和公平安全多方乘法计算理想函数FSMPMF 。然后,基于双线性对技术和承诺方案理想函数FCOM ,在FCOM-混合模型下分别设计公平加法协议FSMPAπ和公平乘法协议πFSMPM安全实现理想函数FFSMPA和FFSMPM 。最后,性能分析表明所提协议的有效性,能更好地满足应用需求。
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