The momentous development in the technology of wireless communication has escalated the wide acceptance of Device to Device (D2D) communication among mobile devices. However, enormous requests of devices may curtail the effectiveness of conventional single-server based authentication frameworks. To overcome such limitation, multi-server authentication framework is introduced. This framework facilitates the devices to use multiple services granted from several servers through single registration via the registration center. In recent ages, numerous multi-server authentication protocols have been developed to securely facilitate the huge amount of devices via variety of servers. Nonetheless, most of these protocols are susceptible to various security threats and proved to be inefficient in terms of computation and communication overheads. In this article, we have proposed an Elliptic Curve Cryptography (ECC) based multi-server authentication framework using Physically Unclonable Function (PUF) for D2D communication. We have shown that our proposed protocol is more secure and robust using Random Oracle Model (ROM). The informal security analysis reveals that proposed protocol accomplishes all security needs of multi-server infrastructure. Further, we have separately computed all cryptographic operations for client, server and Registration Center (RC) to get desired experimental results. The performance analysis illustrates that introduced protocol attains compelling security improvements with least possible computation complexity compared to related protocols. Hence, the strong security features of our proposed protocol demonstrate its strength and make it viable for practical implementation.

无线通信技术的重大发展提高了移动设备之间对设备到设备 (D2D) 通信的广泛接受。然而，设备的大量请求可能会削弱传统的基于单服务器的身份验证框架的有效性。为了克服这种限制，引入了多服务器身份验证框架。该框架有助于设备通过注册中心通过单一注册使用从多个服务器授予的多项服务。近年来，已经开发了许多多服务器身份验证协议，以通过各种服务器安全地促进大量设备。尽管如此，这些协议中的大多数都容易受到各种安全威胁的影响，并且在计算和通信开销方面被证明是低效的。在本文中，我们提出了一种基于椭圆曲线加密 (ECC) 的多服务器身份验证框架，该框架使用物理不可克隆函数 (PUF) 进行 D2D 通信。我们已经证明，我们提出的协议使用随机 Oracle 模型 (ROM) 更加安全和健壮。非正式安全分析表明，提议的协议满足了多服务器基础设施的所有安全需求。此外，我们分别计算了客户端、服务器和注册中心 (RC) 的所有加密操作，以获得所需的实验结果。性能分析表明，与相关协议相比，引入的协议以最小的计算复杂性获得了引人注目的安全改进。因此，