Information Theoretic Secret Key Generation in a Network: Principles and Constructions

信息理论密钥生成在网络中：原则和结构摘要信息安全是一个至关重要的要求，在当前和新兴的通信网络servingcommercial以及军事应用。网络理论和设计的进步，结合信息理论和通信理论的进步，已经帮助实现了多终端系统的部署，在该系统中，宽带信息交换通过有线或无线信道在固定或移动的用户之间发生。在这样的系统中，安全通信问题已经成为网络操作和信息理论研究的前沿。这些发展强调了研究信息安全网络模型的必要性，这些模型的范围和复杂性比点对点模型要大得多。其主要目标是在固定或变化的网络中建立和保持公共信道上的安全通信，这一研究构成了信息论密码学的一个新的研究领域，其重点是在网络中加密通信的密钥生成的代码构造。研究者们研究了新的构造性密钥生成方案，这些方案基于信息论保密性的可证明安全的概念。本研究的主要特点是：（1）发展信息论原理，用于管理网络的建模、量化性能评估和密钥密码系统的设计，为群组通信中的信息安全向不同的终端组分配不同的密钥;（ii）研究了信息论保密生成与无保密约束的分布式网络数据压缩之间的关系;以及（iii）使用线性数据压缩码的新的、实际的构造从终端处的相关观测结果得到的密钥的构造，所述线性数据压缩码又依赖于新兴的有效线性纠错信道码的族。

Information Theoretic Secret Key Generation in a Network:Principles and ConstructionsAbstractInformation security is a crucial requirement in current and emerging communication networks servingcommercial as well as military applications. Advances in network theory and design, combined with strides in information theory and communication theory, have helped enable the deployment of multiterminal systems in which broadband information exchanges take place among fixed or mobile users over wired or wireless channels. In such systems, issues of secure communication have thrust themselves to the forefront of network operation, and of research in information theory. These developments emphasize the need for the study of network models of information security, which are of significantly greater scope and complexity than their point-to-point predecessors. The prime objective is to establish and maintain secure communication over public channels in networks of fixed or changing configuration.This investigation constitutes a new research area in information-theoretic cryptography, which focuseson code construction for secret key generation for encrypted communication in a network. The investigatorsstudy new constructive schemes for secret key generation, which are based on a provably secure notion ofinformation theoretic secrecy. The main features of this research are: (i) the development of information theoretic principles which govern the modeling, quantitative performance assessment, and design of secret key cryptosystems for a network, with different secret keys being assigned to different groups of terminals for information security in group communication; (ii) an investigation of the relationship between information theoretic secrecy generation and distributed network data compression without secrecy constraints; and (iii) the resulting construction of secret keys from correlated observations at the terminals using new, practical constructions of linear data compression codes which, in turn, rely on families of emerging efficient linear error-correcting channel codes.