We study the trade-off between secret message (SM) and secret key (SK) rates, simultaneously achievable over a state-dependent (SD) wiretap channel (WTC) with non-causal channel state information (CSI) at the encoder. This model subsumes other instances of CSI availability as special cases, and calls for efficient utilization of the state sequence for both reliability and security purposes. An inner bound on the semantic-security (SS) SM-SK capacity region is derived based on a superposition coding scheme inspired by a past work of the authors. The region is shown to attain capacity for a certain class of SD-WTCs. SS is established by virtue of two versions of the strong soft-covering lemma. The derived region yields an improvement upon the previously best known SM-SK trade-off result reported by Prabhakaran et al., and, to the best of our knowledge, upon all other existing lower bounds for either SM or SK for this setup, even if the semantic security requirement is relaxed to weak secrecy. It is demonstrated that our region can be strictly larger than those reported in the preceding works.

中文翻译：

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状态相关通道上的密钥和消息语义安全


我们研究秘密消息（SM）和秘密密钥（SK）速率之间的权衡，这可以通过状态相关（SD）窃听通道（WTC）与编码器处的非因果通道状态信息（CSI）同时实现。该模型将 CSI 可用性的其他实例纳入特殊情况，并出于可靠性和安全性目的要求有效利用状态序列。语义安全（SS）SM-SK 容量区域的内部界限是基于受作者过去的工作启发的叠加编码方案得出的。该地区已显示出达到某一类 SD-WTC 的容量。 SS 是凭借两个版本的强软覆盖引理建立的。派生区域对 Prabhakaran 等人报告的先前最著名的 SM-SK 权衡结果进行了改进，并且据我们所知，对该设置的 SM 或 SK 的所有其他现有下限进行了改进，甚至如果语义安全要求放宽到弱保密。事实证明，我们的区域可以严格大于先前作品中报告的区域。