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Antipodal two-weight rank metric codes
release_6pqcanlq5bgb5a7jxeeerm2mny
by
Rakhi Pratihar, Tovohery Hajatiana Randrianarisoa
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as a article
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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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2208.07295v1
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