Rationality and computability of the covering radius for sofic shifts

Tom Meyerovitch; Aidan Young

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arXiv · 2603.21449

Rationality and computability of the covering radius for sofic shifts

Tom Meyerovitch·Aidan Young

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Abstract

The covering radius of a shift space is a quantity of interest for information-theoretic applications of data transmission over noisy channels. We prove that the covering radius of a primitive sofic shift is a rational number, and describe an algorithm to compute the covering radius from a labeled graph presentation.

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Tom Meyerovitch, Aidan Young. 2026-03-22. Rationality and computability of the covering radius for sofic shifts. https://arxiv.org/abs/2603.21449

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