Antipodal two-weight rank metric codes release_6pqcanlq5bgb5a7jxeeerm2mny

by Rakhi Pratihar, Tovohery Hajatiana Randrianarisoa

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2022  

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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Date   2022-08-15
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arXiv  2208.07295v1
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