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arXiv 2001.03593cs.ITmath.IT

针对短视对手的认证

Authentication Against a Myopic Adversary

Northern Arizona University(北亚利桑那大学);University of Wisconsin-Eau Claire(威斯康星大学欧克莱尔分校);Arizona State University(亚利桑那州立大学);DEVCOM Army Research Laboratory(美国陆军研究开发中心陆军研究实验室);New Jersey Institute of Technology(新泽西理工学院)

Mayank Bakshi, Allison Beemer, Oliver Kosut, Eric Graves, Joerg Kliewer, Paul Yu

AI总结:

本文针对短视对手场景下的无密钥认证,提出可覆写性条件,证明非可覆写时随机编码认证容量为正,并给出确定性编码的充分条件。

摘要:

我们考虑在存在短视对手的情况下,点对点通信中的无密钥认证。特别地,对手能够获取传输的非因果噪声版本,并利用该知识在合法用户之间选择任意变化信道的状态。接收方通过准确解码或正确检测对抗性干扰来取得成功。我们引入了一个称为$U$-分布可覆写的单字母信道条件,并表明只要信道不满足该条件,采用随机编码的认证容量即为正,且等于无对手信道容量。我们的编码方案依赖于认证标签,这些标签允许验证已接收消息的正确性。我们提供了$U$-分布可覆写的多字母扩展,并表明无限字母极限为认证容量的正性提供了精确刻画。注意到该刻画在一般情况下可能不可计算,我们接下来提供了一个称为$U$-可覆写的单字母信道条件,并表明它是零认证容量的充分条件。当限制为确定性编码时,我们表明当信道不是$I$-可覆写时,认证容量严格为正。此外,当合法接收方的信道相对于对手的信道是退化的时,$I$-可覆写也是确定性认证容量为零的充分条件。最后,我们给出示例,证明本文提出的各种可覆写概念彼此不同。我们的结果还表明,在某些情况下,随机编码器对于正认证容量是必要的。为说明这一点,我们详细研究了一个二进制对抗信道,该信道展示了这种必要性。

英文摘要:

We consider keyless authentication for point-to-point communication in the presence of a myopic adversary. In particular, the adversary has access to a non-causal noisy version of the transmission and uses this knowledge to choose the state of an arbitrarily-varying channel between legitimate users. The receiver succeeds by either decoding accurately or correctly detecting adversarial interference. We introduce a single-letter channel condition called $U$-distribution overwritability, and show that as long as the channel does not satisfy this condition, the authentication capacity with stochastic coding is positive and equals the no-adversary channel capacity. Our encoding scheme relies on authentication tags that allow verifying the correctness of a message that has already been received. We provide multi-letter extensions of $U$-distribution overwritability and show that the infinite letter limit yields exact characterization for positivity of authentication capacity. Noting that this characterization may, in general, be uncomputable, we next provide a single-letter channel condition called $U$-overwritability and show that it is a sufficient condition for zero authentication capacity. When restricted to deterministic codes, we show that when the channel is not $I$-overwritable, the authentication capacity is strictly positive. Further, when the channel to the legitimate receiver is degraded with respect to the channel to the adversary, $I$-overwritability is also a sufficient condition for the deterministic authentication capacity to equal zero. Lastly, we give examples demonstrating that the various notions of overwritability presented in this paper differ from each other. Our results also show that stochastic encoders are necessary for positive authentication capacity in some cases. Illustrating this, we examine in detail a binary adversarial channel that illustrates this necessity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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