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Cyclic Orbit Codes with the Normalizer of a Singer Subgroup | ||
| Journal of Sciences, Islamic Republic of Iran | ||
| مقاله 5، دوره 26، شماره 1، خرداد 2015، صفحه 49-55 اصل مقاله (780.9 K) | ||
| نوع مقاله: Original Paper | ||
| نویسندگان | ||
| F. Bardestani؛ A. Iranmanesh* | ||
| Department of pure Mathematics, Faculty of Mathematical Sciences, Tarbiat Modares University, Tehran, Islamic Republic of Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Linear network coding؛ Constant dimension codes؛ Group action؛ Orbit codes | ||
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