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首页> 外文期刊>Arabian Journal for Science and Engineering >Using the Modified Diffie-Hellman Problem to Enhance Client Computational Performance in a Three-Party Authenticated Key Agreement
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Using the Modified Diffie-Hellman Problem to Enhance Client Computational Performance in a Three-Party Authenticated Key Agreement

机译：使用经修改的Diffie-Hellman问题在三方身份验证的密钥协议中增强客户端计算性能

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摘要

A three-party authenticated key agreement (3PAKA) scheme is a protocol that enables a pair of registered clients to establish session keys via the help of a trusted server such that each client pre-shares its secret key with the server only. This approach greatly improves the scalability of key agreement protocols and provides better user convenience. Conventionally, 3PAKA-like many other key agreement schemes are based on the classic computational Diffie-Hellman problem (CDHP) to establish the session keys, and each client requires at least two modular exponentiations. However, as more and more mobile devices with limited resources are becoming popular, it is desirable to reduce the computational load for those clients while still preserving its strong security. In this paper, based on the modified CDHP, we propose new 3PAKA schemes which require only four message steps and reduce clients' exponentiation computations up to 50%, compared to those schemes that are based on the CDHP and provide the same functions. The security of the proposed schemes is formally proved. The excellent performance makes them very attractive to those clients with limited resources.
机译：第三方认证密钥协议（3PAKA）方案是一种协议，该协议使一对注册的客户端能够在受信任的服务器的帮助下建立会话密钥，以便每个客户端仅与服务器预共享其密钥。这种方法极大地提高了关键协议协议的可伸缩性，并为用户提供了更好的便利。按照惯例，类似于3PAKA的许多其他密钥协商方案都基于经典的计算Diffie-Hellman问题（CDHP）来建立会话密钥，并且每个客户端至少需要两个模块化幂。然而，随着越来越多的具有有限资源的移动设备变得流行，期望在保持其强大安全性的同时减少那些客户端的计算负荷。在本文中，基于改进的CDHP，与基于CDHP并提供相同功能的方案相比，我们提出了新的3PAKA方案，该方案仅需四个消息步骤，最多可将客户的幂运算减少50％。所提出方案的安全性得到了正式证明。出色的性能使其对资源有限的客户非常有吸引力。

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