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cs.IT2019
Constructions of optimal rank-metric codes from automorphisms of rational function fields
Rakhi Pratihar, Tovohery Hajatiana Randrianarisoa
We define a class of automorphisms of rational function fields of finite characteristic and employ these to construct different types of optimal linear rank-metric codes. The first…
cs.IT2019
A Geometric Approach to Rank Metric Codes and a Classification of Constant Weight Codes
Tovohery Hajatiana Randrianarisoa
In this work we develop a geometric approach to the study of rank metric codes. Using this method, we introduce a simpler definition for generalized rank weight of linear codes. We…