This paper studies adaptive coding for the two-way wiretap channel. Especially, the strong secrecy metric is of our interest that is defined by the information leakage of transmitted messages to the eavesdropper. First, we consider an adaptive coding, the construction of which is based on running the well studied non-adaptive coding in several rounds and the dependency between the adjacent rounds of transmission is introduced by the key exchange mechanism that is embedded in the non-adaptive coding in each transmission round. As a result, we analyze the reliability and strong secrecy that are measured by the decoding error probability and information leakage, characterize them in terms of the conditional R\'enyi mutual information, and derive inner bounds on the secrecy capacity regions for the TW-WC under strong joint and individual secrecy constraints. Second, we introduce another adaptive coding method that explores the correlation among the outputs at the receivers. With this approach, we show that for the two-way wiretap channel that fulfills the conditionally independent condition, positive transmission rates can be always guaranteed even under the joint secrecy constraint.
翻译:本文研究双向窃听信道的自适应编码问题,特别关注以传输信息向窃听者信息泄露定义的强保密度量。首先,我们考虑一种自适应编码方案,其构造基于在多轮中运行已深入研究的非自适应编码,并通过嵌入每轮传输中非自适应编码的密钥交换机制引入相邻传输轮次间的依赖关系。由此,我们分析了以译码错误概率和信息泄露度量的可靠性与强保密性,用条件Rényi互信息刻画其特性,并推导了强联合与个体保密约束下双向窃听信道保密容量区域的内界。其次,我们提出另一种利用接收端输出相关性的自适应编码方法。通过该方法证明,对于满足条件独立条件的双向窃听信道,即使在联合保密约束下也总能保证正传输速率。