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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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