Construction of Singer Subgroup Orbit Codes Based on Cyclic Difference Sets

Ghatak, Anirban (2014) Construction of Singer Subgroup Orbit Codes Based on Cyclic Difference Sets. In: 20th National Conference on Communications (NCC), FEB 28-MAR 02, 2014, Kanpur, INDIA.

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Abstract

A recent approach for the construction of constant dimension subspace codes, designed for error correction in random networks, is to consider the codes as orbits of suitable subgroups of the general linear group. In particular, a cyclic orbit code is the orbit of a cyclic subgroup. Hence a possible method to construct large cyclic orbit codes with a given minimum subspace distance is to select a subspace such that the orbit of the Singer subgroup satisfies the distance constraint. In this paper we propose a method where some basic properties of difference sets are employed to select such a subspace, thereby providing a systematic way of constructing cyclic orbit codes with specified parameters. We also present an explicit example of such a construction.

Item Type:	Conference Proceedings
Series.:	National Conference on Communications NCC
Publisher:	IEEE
Additional Information:	Copy right for this article belongs to the IEEE, 345 E 47TH ST, NEW YORK, NY 10017 USA
Department/Centre:	Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited:	19 Jul 2015 09:31
Last Modified:	19 Jul 2015 09:31
URI:	http://eprints.iisc.ac.in/id/eprint/51854

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