论文标题
保护对抗窃听通道的极地编码
Secure Polar Coding for Adversarial Wiretap Channel
论文作者
论文摘要
对抗窃听通道（AWTC）模型是一个安全的通信模型，在该模型中，对手可以在其中直接读取并编写具有固定分数合法通信的传输位。在本文中，我们提出了一个安全的极地编码方案，以在AWTC模型上提供安全可靠的通信。对于对抗性阅读和写作动作，我们提出了一个$ρ$同等的通道块，并研究了其在频道极化操作下的转换。我们发现，生成的频道是两极分化的，因为它们的一部分是概率几乎$ 1 $的全噪声频道，其余部分是无嘈杂的频道，概率几乎为$ 1 $。基于此结果，我们将两个等效的对抗读数和写入的通道块极化，然后通过将多块链链结构应用于偏光等效块上来构建安全的极性编码方案。从理论上讲，我们证明，当块长度$ n $变得无限时，拟议的计划在可靠性和强大的安全标准下实现了AWTC模型的保密能力。然后，通过模拟，我们证明所提出的方案可以通过AWTC模型提供安全可靠的通信。
The adversarial wiretap channel (AWTC) model is a secure communication model in which adversary can directly read and write the transmitted bits in legitimate communication with fixed fractions. In this paper we propose a secure polar coding scheme to provide secure and reliable communication over the AWTC model. For the adversarial reading and writing action, we present a $ρ$ equivalent channel block and study its transformation under the channel polarization operation. We find that the generated channels are polarized in the sense that part of them are full-noise channels with probability almost $1$ and the rest part of them are noiseless channels with probability almost $1$. Based on this result, we polarize both equivalent channel blocks of adversarial reading and writing, and then construct a secure polar coding scheme by applying the multi-block chaining structure on the polarized equivalent blocks. Theoretically we prove that when block length $N$ goes infinity, the proposed scheme achieves the secrecy capacity of the AWTC model under both reliability and strong security criterions. Then by simulations, we prove that the proposed scheme can provide secure and reliable communication over AWTC model.
