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arXiv · 2601.00122

The permutation group of Reed-Solomon codes over arbitrary points

Eduardo Camps-Moreno·Jun Bo Lau·Hiram H. López·Welington Santos
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Abstract

In this work, we prove that the permutation group of a Reed-Solomon code is given by the polynomials of degree one that leave the set of evaluation points invariant. Our results provide a straightforward proof of the well-known cases of the permutation group of the Reed-Solomon code when the set of evaluation points is the whole finite field or the multiplicative group.

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Eduardo Camps-Moreno, Jun Bo Lau, Hiram H. López, Welington Santos. 2025-12-31. The permutation group of Reed-Solomon codes over arbitrary points. https://doi.org/10.1109/isit63088.2025.11195458

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