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Paper detail

The permutation group of Reed-Solomon codes over arbitrary points

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.

preprint2025arXivOpen access
Eduardo Camps-MorenoJun Bo LauHiram H. LópezWelington Santos
math.ITInformation Theory
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Eduardo Camps-MorenoJun Bo LauHiram H. LópezWelington Santos

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