论文标题
无安全链接的功能计算:信息和泄漏率
Function Computation Without Secure Links: Information and Leakage Rates
论文作者
论文摘要
考虑L用户,每个用户都持有私人数据,一个必须计算L用户私人数据的函数的融合中心。为了完成此任务,每个用户可以单一使用公共和无声的广播频道。在这种情况下,在没有任何其他资源(例如安全链接)的情况下,我们研究了可实现的私人用户数据上的最佳通信率和最小信息泄漏。具体来说,我们研究了融合中心(功能输出的知识)以及互相窃听的用户组的信息泄漏(超出功能输出的知识)。当用户数据独立时,我们得出了容量区域,当用户数据相关联时,容量区域的内部和外部区域。
Consider L users, who each holds private data, and one fusion center who must compute a function of the private data of the L users. To accomplish this task, each user can make a single use of a public and noiseless broadcast channel. In this setting, and in the absence of any additional resources such as secure links, we study the optimal communication rates and minimum information leakages on the private user data that are achievable. Specifically, we study the information leakage of the user data at the fusion center (beyond the knowledge of the function output), as well as at predefined groups of colluding users who eavesdrop one another. We derive the capacity region when the user data is independent, and inner and outer regions for the capacity region when the user data is correlated.