2022/08/15 by Rakhi Pratihar, Pratihar, Rakhi, Tovohery Hajatiana Randrianarisoa +1 · 1 citation
Computer Science · Engineering · #Coding theory and cryptography #Cooperative Communication and Network Coding #Advanced Wireless Communication Technologies
paper · pdf · doi:10.48550/arxiv.2208.07295
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.