Stealthy Secret Key Generation.
Stealthy Secret Key Generation.
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DOI：
10.3390/e22060679
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发表时间：
2020-06-18
期刊：
影响因子：
--
通讯作者：
Schaefer RF
中科院分区：
文献类型：
--
作者：
Lin PH;Janda CR;Jorswieck EA;Schaefer RF
为了使一个典狱长，威利，不知道有意义的通信的存在，已经提出了不同的方案，包括隐蔽和隐形通信。当合法用户对威利没有信道优势时，合法用户可能需要额外的秘密密钥来迷惑威利，如果隐形或隐蔽通信仍然是可能的。然而，密钥生成（SKG）可能会引起威利的注意，因为它有一个公开的讨论，这是由威利观察。为了防止Willie的注意，我们考虑SKG的源模型下的强保密性约束，这进一步满足隐形约束。我们的第一个贡献是，如果在爱丽丝和鲍勃的观察之间的随机依赖满足严格的更有能力的标准，在爱丽丝和威利或鲍勃和威利之间的观察之间的随机依赖，那么一个积极的隐形密钥速率是相同的隐形约束。我们的第二个贡献是，如果观察到的随机变量在爱丽丝，鲍勃，威利引起的共同随机源形成一个马尔可夫链，那么与强保密约束和隐形约束的源模型SKG的密钥容量等于密钥容量与强保密约束，但没有隐形约束。对于快衰落模型的情况下，一个等价的模型，这是退化的存在的充分条件，提供了基于随机订单。此外，我们提出了一个例子来说明我们的结果。
In order to make a warden, Willie, unaware of the existence of meaningful communications, there have been different schemes proposed including covert and stealth communications. When legitimate users have no channel advantage over Willie, the legitimate users may need additional secret keys to confuse Willie, if the stealth or covert communication is still possible. However, secret key generation (SKG) may raise Willie’s attention since it has a public discussion, which is observable by Willie. To prevent Willie’s attention, we consider the source model for SKG under a strong secrecy constraint, which has further to fulfill a stealth constraint. Our first contribution is that, if the stochastic dependence between the observations at Alice and Bob fulfills the strict more capable criterion with respect to the stochastic dependence between the observations at Alice and Willie or between Bob and Willie, then a positive stealthy secret key rate is identical to the one without the stealth constraint. Our second contribution is that, if the random variables observed at Alice, Bob, and Willie induced by the common random source form a Markov chain, then the key capacity of the source model SKG with the strong secrecy constraint and the stealth constraint is equal to the key capacity with the strong secrecy constraint, but without the stealth constraint. For the case of fast fading models, a sufficient condition for the existence of an equivalent model, which is degraded, is provided, based on stochastic orders. Furthermore, we present an example to illustrate our results.
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