One family of algebraic codes for network coding

Abstract

The subspace metric is a subject of intensive researche recently. Nevertheless not much is known about codes in this metric in general. In this paper, one class of subspace metric based codes is defined. This class is a generalization of a Koetter-Kshishang-Silva construction, namely, the lifting construction. Also, a quasi-Singleton bound is derived which is tighter than the Koetter-Kschischang bound for large dimensions of subspaces.