Transmission, Identification and Common Randomness Capacities for Wire-Tape Channels with Secure Feedback from the Decoder

Transmission, Identification and Common Randomness Capacities for Wire-Tape Channels with Secure Feedback from the Decoder
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DOI:
10.1007/11889342_13
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发表时间:
2005-08
期刊:
Electron. Notes Discret. Math.
影响因子:
--
通讯作者:
R. Ahlswede;N. Cai
R. Ahlswede;N. Cai
中科院分区:
其他
文献类型:
--
作者:
R. Ahlswede;N. Cai

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我们分析有线磁带渠道与安全的反馈,从合法的接收器。我们提出了一个下限的传输容量(定理1),我们猜想它是紧的,并且证明它是紧的(推论1)对于Wyner的原始(降级)有线磁带信道,并且还用于合法接收器从敌人获得降级版本的非降级有线磁带信道(推论2).令人惊讶的是,我们完全确定了安全公共随机性(定理2)和安全识别(定理3和推论3)的能力。与DMC不同,这些量在这里是不同的,因为识别与非安全的公共随机性有关。
We analyze wire-tape channels with secure feedback from the legitimate receiver. We present a lower bound on the transmission capacity (Theorem 1), which we conjecture to be tight and which is proved to be tight (Corollary 1) for Wyner’s original (degraded) wire-tape channel and also for the reversely degraded wire-tape channel for which the legitimate receiver gets a degraded version from the enemy (Corollary 2).Somewhat surprisingly we completely determine the capacities of secure common randomness (Theorem 2) and secure identification (Theorem 3 and Corollary 3). Unlike for the DMC, these quantities are different here, because identification is linked to non-secure common randomness.