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List decoding for arbitrarily varying wiretap channels

机译：任意解码的窃听通道的列表解码

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摘要

We consider a communication scenario in which the channel undergoes two different classes of attacks at the same time: a passive eavesdropper and an active jammer. This scenario is modeled by the concept of arbitrarily varying wiretap channels (AVWCs), in which the channel varies from one channel use to the other in an unknown and arbitrary manner. It has been shown that uncorrelated codes fail to establish reliable communication over the class of symmetrizable AVWCs. For this class more sophisticated coding techniques such as correlated random codes are needed. Correlated random codes are not easy to realize in practice because they require a sort of coordination between the transmitter and the receiver, which is not always possible. In this paper, we aim to resolve the ambiguity of symmetrizable AVWCs in the absence of coordination resources using list decoding. In particular, we show that for an AVWC where we allow for a non-vanishing decoding error probability, we can construct a list code whose rate is close to the correlated secrecy capacity. The list size needed by such code is shown to be finite and independent of the block length. Moreover, the constructed list code assures that the information leakage of the confidential message with respect to the strong secrecy criterion decays exponentially fast.
机译：我们考虑一种通信场景，在该场景中，通道同时遭受两种不同类型的攻击：被动的窃听者和主动的干扰者。这种情况是通过任意更改窃听通道（AVWC）的概念建模的，其中通道以未知和任意的方式从一个通道使用更改为另一个通道使用。已经表明，不相关的代码无法在可对称AVWC类别上建立可靠的通信。对于此类，需要诸如相关随机码之类的更复杂的编码技术。相关的随机码在实践中不容易实现，因为它们需要在发送器和接收器之间进行某种协调，而这种协调并非总是可能的。在本文中，我们旨在使用列表解码解决在缺乏协调资源的情况下可对称AVWC的歧义。特别地，我们表明，对于允许无消失解码错误概率的AVWC，我们可以构造一个速率接近相关保密能力的列表代码。这样的代码所需的列表大小显示为有限的，并且与块长度无关。而且，构造的列表代码确保了关于强保密标准的机密消息的信息泄漏以指数方式快速衰减。

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