English

A Note on a Standard Model for Galois Rings

Rings and Algebras 2021-09-17 v1

Abstract

In this work, we present a standard model for Galois rings based on the standard model of their residual fields, that is, a sequence of Galois rings starting with ${\mathbb Z}_{p^r} that coves all the Galois rings with that characteristic ring and such that there is an algorithm producing each member of the sequence whose input is the size of the required ring.

Keywords

Cite

@article{arxiv.2109.07938,
  title  = {A Note on a Standard Model for Galois Rings},
  author = {E. Martínez-Moro and A. Piñera-Nicolás and I. F. Rúa},
  journal= {arXiv preprint arXiv:2109.07938},
  year   = {2021}
}

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Submitted to FFA

R2 v1 2026-06-24T06:01:57.898Z