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Add basic functionalities to linear_rank_metric.py #31449

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@MaaikevLeuken

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@MaaikevLeuken

Certain important functionalities are missing in AbstractLinearRankMetricCode.
A list with functionalities to be added:

  • Computing the support of a codeword. Both column and row support are desired.
  • Computing the relative distance of the code.
  • Computing the rank distribution of the code.
  • Finding random codeword of given rank.
  • Finding the minimal and maximal rank in the code.
  • Finding the characteristic of the code.
  • Rewriting elements in the extended field in some basis and recovering from it.

CC: @MaaikevLeuken

Component: coding theory

Keywords: rank code

Author: Maaike van Leuken

Branch/Commit: u/gh-MaaikevLeuken/add_low_rank_parity_check_codes @ a9a274e

Issue created by migration from https://trac.sagemath.org/ticket/31449

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