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Rank weights for arbitrary finite field extensions

Information Theory 2019-02-05 v1 Algebraic Geometry math.IT

Abstract

In this paper, we study several definitions of generalized rank weights for arbitrary finite extensions of fields. We prove that all these definitions coincide, generalizing known results for extensions of finite fields.

Cite

@article{arxiv.1902.00733,
  title  = {Rank weights for arbitrary finite field extensions},
  author = {Grégory Berhuy and Jean Fasel and Odile Garotta},
  journal= {arXiv preprint arXiv:1902.00733},
  year   = {2019}
}

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R2 v1 2026-06-23T07:30:19.788Z