On interleaved rank metric codes
Vladimir R. Sidorenko, Wenhui Li, Gerhard G. Kramer · 2020
Horizontal and vertical interleavings of arbitrary matrix or vector rank metric codes are considered. A necessary and sufficient condition for an interleaved code to be maximum rank distance (MRO) code is obtained. In particular, horizontal interleaving of Gabidulin vector codes over the field Fqm gives an example of a non-Gabidulin MRD code of length more than m. It is shown that interleaving of Gabidulin codes with different sets of locators can be decoded directly by syndrome decoders. Any other decoder can also be used in the case of different locators after making proposed modification of the received word.