In order to protect the users' privacy, based on the theory and construction of k-TAA presented by Teranisi,presented a fair k-TAA scheme used the blind signature.The scheme added trustee that could easily trace the ID of illegal users and kept the other properties remain at the same time.The appearance of trustee confirms the security of the scheme.The paper also gave all the properties' discussion at last.%为了保证合法用户的隐私,基于Teranisi提出的k次认证机制(k-TAA),利用Brands提出的表示问题不可解的猜想,构造了一个具有公平的匿名性的k次认证机制k-TFAA.该机制除了拥有k-TAA机制的所有特性外,还增加了一个可信方,该可信方可以有效追踪非法使用服务的用户的身份,保证了整个机制的完备性和安全性.最后,对该机制的各个特性进行了讨论.
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