On the Optimality of Keyless Authentication in a Noisy Model

On the Optimality of Keyless Authentication in a Noisy Model
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DOI:
10.1109/tifs.2015.2405891
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发表时间:
2014-09
影响因子:
6.8
通讯作者:
Shaoquan Jiang
Shaoquan Jiang
中科院分区:
计算机科学1区
文献类型:
--
作者:
Shaoquan Jiang

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We further study the keyless authentication problem in a noisy model in our previous work, where no secret setup is available for sender Alice and receiver Bob while there is discrete memoryless channel (DMC) W1 from Alice to Bob and a two-way noiseless but insecure channel between them. We propose a construction such that the message length over DMC W1 does not depend on the size of the source space. If the source space is S and the number of channel W1 uses is n, then our protocol only has a round complexity of log* |S| - log* n + 4. In addition, we show that the round complexity of any secure protocol in our model is lower bounded by log* |S| - log* n - 5. We also obtain a lower bound on the success probability when the message size on DMC W1 is given. Finally, we derive the capacity for a noninteractive authentication protocol under general DMCs, which extends the result under Binary Symmetric Channels in our previous work.