# American Institute of Mathematical Sciences

doi: 10.3934/amc.2020083

## Rank weights for arbitrary finite field extensions

 Institut Fourier, CS 40700, 38058 Grenoble Cedex 9, France

* Corresponding author: Grégory Berhuy

Received  February 2019 Revised  December 2019 Published  June 2020

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.

Citation: Grégory Berhuy, Jean Fasel, Odile Garotta. Rank weights for arbitrary finite field extensions. Advances in Mathematics of Communications, doi: 10.3934/amc.2020083
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