Cyclic Orbit Codes with the Normalizer of a Singer Subgroup

Document Type : Original Research Articles

Authors
F. Bardestani
A. Iranmanesh
Department of pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Islamic Republic of Iran
Abstract
An algebraic construction for constant dimension subspace codes is called orbit code. It arises as the orbits under the action of a subgroup of the general linear group on subspaces in an ambient space. In particular orbit codes of a Singer subgroup of the general linear group has investigated recently. In this paper, we consider the normalizer of a Singer subgroup of the general linear group and its orbit codes. Several properties of these codes are considered.
Keywords
Linear network coding
Constant dimension codes
Group action
Orbit codes