Evaluation of iterated Ore polynomials and skew Reed-Muller codes

Evaluation of iterated Ore polynomials and skew Reed-Muller codes
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In this paper, we study two ways of evaluating iterated Ore polynomials. We provide many examples and compare these evaluations. We use the evaluation maps to construct Reed-Muller codes and compute explicitly some of the data that are associated to such codes.


💡 Research Summary

The paper investigates two distinct methods for evaluating iterated Ore polynomials and applies these evaluations to construct skew Reed‑Muller codes. It begins by recalling the definition of a skew polynomial ring R = K


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