AI 中文总结
研究混合保密约束下双向窃听信道,用非自适应构造等方法获指数误差和泄漏界,推导强混合保密可达区域,恢复弱单边单字母内界,整体自适应可达区域含非自适应构造及可能更大的密钥交换子区域。
AI 中文摘要
本文研究了具有外部窃听者的双向窃听信道(TW-WC),在强单边(混合)保密条件下:仅要求用户1的消息对窃听者保密,而对用户2的消息不施加保密约束。保密通过用户1的消息向窃听者的信息泄漏来衡量。应用非自适应构造和密钥交换构造的单边约简,对于每个固定数量的自适应轮次,我们获得了指数误差和泄漏界。定量的一次性填充论证传播了下一轮使用的密钥的泄漏,并且显式填充构造消除了所有足够大的块长的初始化速率损失。我们推导了相应的强混合保密可达区域。非自适应构造在更强的保密准则下恢复了先前报道的弱单边单字母内界。整体自适应可达区域包括作为后备的非自适应构造,并且还包含一个可能严格更大的密钥交换子区域。
英文摘要
This paper studies the two-way wiretap channel (TW-WC) with an external eavesdropper under strong one-sided (mixed) secrecy: only User~1's message is required to be secure from the eavesdropper, while no secrecy constraint is imposed on User~2's message. Secrecy is measured by the information leakage of User~1's message to the eavesdropper. Applying a non-adaptive construction and a one-sided reduction of the key-exchange construction, we obtain exponential error and leakage bounds for every fixed number of adaptive rounds. A quantitative one-time-pad argument propagates the leakage of the key used in the next round, and an explicit padding construction removes the initialization-rate loss for all sufficiently large blocklengths. We derive the corresponding strong mixed-secrecy achievable regions. The non-adaptive construction recovers the previously reported weak one-sided single-letter inner bound under the stronger secrecy criterion. The overall adaptive achievable region includes the non-adaptive construction as a fallback and also contains a key-exchange subregion that can be strictly larger.