Further Generalisations of Twisted Gabidulin Codes

Abstract

We present a new family of maximum rank distance (MRD) codes. The new class contains codes that are neither equivalent to a generalised Gabidulin nor to a twisted Gabidulin code, the only two known general constructions of linear MRD codes.

10 pages, accepted at the International Workshop on Coding and Cryptography (WCC) 2017