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Bibliographic Details
Main Authors: Berhuy, G., Molina, J.
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2507.00609
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Table of Contents:
  • We study the rank weight hierarchy of linear codes which are stable under a linear endomorphism defined over the base field, in particular when the endomorphism is cyclic. In this last case, we give a necessary and sufficient condition for such a code to have first rank weight equal to $1$ in terms of its generator polynomial, as well as an explicit formula for its last rank weight.