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Imperfect Secrecy in Wiretap Channel II

机译:窃听通道II中的保密性不完善

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In a point-to-point communication system, which consists of a sender, a receiver, and a set of noiseless channels, the sender wishes to transmit a private message to the receiver through the channels, which may be eavesdropped by a wiretapper. The set of wiretap sets is arbitrary. The wiretapper can access any one but not more than one wiretap set. From each wiretap set, the wiretapper can obtain some partial information about the private message, which is measured by the equivocation of the message given the symbols obtained by the wiretapper. The security strategy is to encode the message with some random key at the sender. Only the message is required to be recovered at the receiver. Under this setting, we define an achievable rate tuple consisting of the size of the message, the size of the key, and the equivocation for each wiretap set. We first prove a tight rate region when both the message and the key are required to be recovered at the receiver. Then, we extend the result to the general case when only the message is required to be recovered at the receiver. Moreover, we show that even if stochastic encoding is employed at the sender, the message rate cannot be increased.
机译:在由发送方,接收方和一组无噪声通道组成的点对点通信系统中,发送方希望通过通道将专用消息发送给接收方,该消息可能会被窃听者窃听。窃听集的集合是任意的。窃听者可以访问任何一组但最多只能有一个窃听集。从每个窃听集,窃听者可以获得有关私人消息的一些部分信息,该信息通过给定窃听器获得的符号的消息的等价性来衡量。安全策略是在发送方使用一些随机密钥对消息进行编码。仅消息需要在接收方恢复。在此设置下,我们定义了一个可实现的速率元组,该元组由消息的大小,密钥的大小以及每个窃听集的等同词组成。当消息和密钥都需要在接收者处恢复时,我们首先证明了一个紧密的速率区域。然后,当只需要在接收方恢复消息时,我们将结果扩展到一般情况。而且,我们表明,即使在发送方使用随机编码,也不能提高消息速率。

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