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arXiv · 2208.07295

Antipodal two-weight rank metric codes

Rakhi Pratihar·Tovohery Hajatiana Randrianarisoa
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Abstract

We consider the class of linear antipodal two-weight rank metric codes and discuss their properties and characterization in terms of $t$-spreads. It is shown that the dimension of such codes is $2$ and the minimum rank distance is at least half of the length. We construct antipodal two-weight rank metric codes from certain MRD codes. A complete classification of such codes is obtained, when the minimum rank distance is equal to half of the length. As a consequence of our construction of two-weight rank metric codes, we get some explicit two-weight Hamming metric codes.

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Rakhi Pratihar, Tovohery Hajatiana Randrianarisoa. 2022-08-15. Antipodal two-weight rank metric codes. https://arxiv.org/abs/2208.07295

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