On the Optimality of Keyless Authentication in a Noisy Model

Shaoquan Jiang

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arXiv · 1409.1657

On the Optimality of Keyless Authentication in a Noisy Model

Shaoquan Jiang

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Abstract

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 DMC $W_1$ 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 $W_1$ does not depend on the size of the source space. If the source space is ${\cal S}$ and the number of channel $W_1$ uses is $n$, then our protocol only has a round complexity of $\log^*|{\cal S}|-\log^*n+4.$ In addition, we show that the round complexity of any secure protocol in our model is lower bounded by $\log^*|{\cal S}|-\log^* n-5$. We also obtain a lower bound on the success probability when the message size on DMC $W_1$ is given. Finally, we derive the capacity for a non-interactive authentication protocol under general DMCs, which extends the result under BSCs in our previous work.

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Shaoquan Jiang. 2014-09-05. On the Optimality of Keyless Authentication in a Noisy Model. https://arxiv.org/abs/1409.1657

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