On the Non-Adaptive Zero-Error Capacity of the Discrete Memoryless Two-Way Channel

Yujie Gu; Ofer Shayevitz

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arXiv · 1909.03950

On the Non-Adaptive Zero-Error Capacity of the Discrete Memoryless Two-Way Channel

Yujie Gu·Ofer Shayevitz

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Abstract

We study the problem of communicating over a discrete memoryless two-way channel using non-adaptive schemes, under a zero probability of error criterion. We derive single-letter inner and outer bounds for the zero-error capacity region, based on random coding, linear programming, linear codes, and the asymptotic spectrum of graphs. Among others, we provide a single-letter outer bound based on a combination of Shannon's vanishing-error capacity region and a two-way analogue of the linear programming bound for point-to-point channels, which in contrast to the one-way case, is generally better than both. Moreover, we establish an outer bound for the zero-error capacity region of a two-way channel via the asymptotic spectrum of graphs and show that this bound could be achieved for certain cases.

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Yujie Gu, Ofer Shayevitz. 2021-09-10. On the Non-Adaptive Zero-Error Capacity of the Discrete Memoryless Two-Way Channel. https://arxiv.org/abs/1909.03950

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