A basic model for key agreement with a remote (or hidden) source is extended to a multi-user model with joint secrecy and privacy constraints over all entities that do not trust each other after key agreement. Multiple entities using different measurements of the same source through broadcast channels (BCs) to agree on mutually-independent local secret keys are considered. Our model is the proper multi-user extension of the basic model since the encoder and decoder pairs are not assumed to trust other pairs after key agreement, unlike assumed in the literature. Strong secrecy constraints imposed on all secret keys jointly, which is more stringent than separate secrecy leakage constraints for each secret key considered in the literature, are satisfied. Inner bounds for maximum key rate, and minimum privacy-leakage and database-storage rates are proposed for any finite number of entities. Inner and outer bounds for degraded and less-noisy BCs are given to illustrate cases with strong privacy. A multi-enrollment model that is used for common physical unclonable functions is also considered to establish inner and outer bounds for key-leakage-storage regions that differ only in the Markov chains imposed. For this special case, the encoder and decoder measurement channels have the same channel transition matrix and secrecy leakage is measured for each secret key separately. We illustrate cases for which it is useful to have multiple enrollments as compared to a single enrollment and vice versa.

中文翻译：

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具有相关噪声的多实体和多注册密钥协议


与远程（或隐藏）源进行密钥协商的基本模型被扩展到多用户模型，对密钥协商后相互不信任的所有实体具有联合保密和隐私约束。考虑多个实体通过广播信道（BC）使用同一源的不同测量来就相互独立的本地密钥达成一致。我们的模型是基本模型的正确多用户扩展，因为编码器和解码器对在密钥协商后不被假定信任其他对，这与文献中的假设不同。满足对所有秘密密钥共同施加的强保密约束，这比文献中考虑的每个秘密密钥的单独保密泄漏约束更严格。对于任何有限数量的实体，提出了最大密钥速率、最小隐私泄漏和数据库存储速率的内部界限。给出了退化和低噪音 BC 的内部和外部边界来说明具有强隐私性的情况。用于常见物理不可克隆功能的多注册模型也被考虑为密钥泄漏存储区域建立内部和外部边界，这些区域仅在所施加的马尔可夫链上有所不同。对于这种特殊情况，编码器和解码器测量通道具有相同的通道转换矩阵，并且分别为每个秘密密钥测量秘密泄漏。我们举例说明了多次注册比一次注册更有用的案例，反之亦然。