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An efficient and provably secure three-party password-based authenticated key exchange protocol based on Chebyshev chaotic maps

机译:基于Chebyshev混沌映射的高效且可证明安全的基于第三方的基于身份验证的密钥交换协议

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摘要

Three-party password-based authenticated key exchange (3PAKE) protocols allow two clients to establish a secure session key through a server over an insecure channel. Recently, the 3PAKE protocols have been developed based on Chebyshev chaotic maps, in which the clients utilize smart cards to login into the server and employ server's public key to ensure the identity of the server or symmetric cryptosystems to encrypt the messages. However, this paper describes an efficient chaos-based 3PAKE protocol without smart cards, which requires neither server's public key nor symmetric cryptosystems. The security of the proposed 3PAKE protocol is proved in the random oracle model using the chaos-based decisional Diffie- Hellman assumption. In comparison with the existing chaos-based 3PAKE protocols, our protocol individually provides better performance in terms of communication, computation, and security aspects, and is supported by the formal proof in the random oracle model.
机译:基于三方密码的认证密钥交换(3PAKE)协议允许两个客户端通过服务器在不安全的通道上建立安全的会话密钥。最近,基于Chebyshev混沌图开发了3PAKE协议,其中客户端使用智能卡登录服务器,并使用服务器的公钥来确保服务器的身份或对称密码系统对消息进行加密。但是,本文描述了一种不使用智能卡的有效的基于混沌的3PAKE协议,该协议既不需要服务器的公钥,也不需要对称的密码系统。使用基于混沌的决策Diffie-Hellman假设,在随机预言模型中证明了所提出的3PAKE协议的安全性。与现有的基于混沌的3PAKE协议相比,我们的协议在通信,计算和安全性方面分别提供了更好的性能,并受到随机Oracle模型中形式化证明的支持。

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