Nowadays, communication technologies are more and more strongly advanced, such as 4G or 5G. There are many useful online applications, and one of them is the telecare medical information system (TMIS). If the TMIS is widely deployed, patients and doctors will have more frequently connection. Clearly, this enhances our quality of life. One of the most important modules securely constructing this convenient TMIS is the user-authentication scheme. We should prevent user identity and related information from the adversary’s eavesdropping. Therefore, the authentication scheme could provide user anonymity and concern some kinds of attacks, such as impersonation or password-guessing attacks. Common solutions are a combination of hash function and public-key cryptosystem (RSA or elliptic curve cryptosystem, ECC), but current schemes do not consider identity protection as one main task necessary for medical information environment. In this paper, our results consist of some important analyses of previous works and a multiserver user-authentication scheme suitable for TMIS using Chebyshev polynomial with two models: random oracle and BAN-logic.

中文翻译：

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多服务器环境中基于Chebyshev多项式的认证方案

如今，通信技术越来越强大，例如4G或5G。有许多有用的在线应用程序，其中之一是远程医疗信息系统（TMIS）。如果TMIS被广泛部署，则患者和医生之间的联系将会更加频繁。显然，这提高了我们的生活质量。安全构造此便捷的TMIS的最重要模块之一是用户身份验证方案。我们应该防止用户身份和相关信息被对手窃听。因此，身份验证方案可以为用户提供匿名性，并涉及某些类型的攻击，例如模拟或密码猜测攻击。常见的解决方案是将哈希函数和公钥密码系统（RSA或椭圆曲线密码系统，ECC）结合在一起，但是当前的方案并未将身份保护视为医学信息环境必需的一项主要任务。在本文中，我们的结果包括对先前工作的一些重要分析以及适用于使用Chebyshev多项式的TMIS的多服务器用户身份验证方案，该方案具有以下两种模型：随机oracle和BAN-logic。