Cyclic Orbit Codes with the Normalizer of a Singer Subgroup
Fatemeh Bardestani, Ali Iranmanesh · DOAJ (DOAJ: Directory of Open Access Journals) · 2015
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.