Explicit constructions of some non-Gabidulin linear maximum rank distance codes

Kamil Otal, Ferruh Özbudak

Type: Article

Publication Date: 2016-08-01

Citations: 24

DOI: https://doi.org/10.3934/amc.2016028

Abstract

We investigate rank metric codes using univariate linearized polynomials and multivariate linearized polynomials together. We examine the construction of maximum rank distance (MRD) codes and the test of equivalence between two codes in the polynomial representation. Using this approach, we present new classes of some non-Gabidulin linear MRD codes.

Locations

Advances in Mathematics of Communications - View - PDF

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