树型PIN源与线性窃听器的秘密密钥协商与安全全知
Secret Key Agreement and Secure Omniscience of Tree-PIN Source with Linear Wiretapper
摘要：
虽然窃听秘密密钥的能力仍然是未知的一般源模型，即使在两个用户的情况下，我们得到了一个单字母的一大类的多用户源模型与线性窃听谁可以观察到任何线性组合的来源。我们引入了不可约源的思想，以显示存在一个最佳的通信方案，实现完美的全知与最小的信息泄漏给窃听。这意味着窃听秘密密钥协议和安全无所不知的问题之间的对偶性，这种对偶性可能适用于更一般的来源。
英文摘要：
While the wiretap secret key capacity remains unknown for general source models even in the two-user case, we obtained a single-letter characterization for a large class of multi-user source models with a linear wiretapper who can observe any linear combinations of the source. We introduced the idea of irreducible sources to show existence of an optimal communication scheme that achieves perfect omniscience with minimum leakage of information to the wiretapper. This implies a duality between the problems of wiretap secret key agreement and secure omniscience, and such duality potentially holds for more general sources.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
