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Consta-Dihedral Codes and their Transform Domain Characterization

Shashidhar, V and Rajan, Sundar B (2004) Consta-Dihedral Codes and their Transform Domain Characterization. In: International Symposium on Information Theory, 2004. ISIT 2004, 27 June-2, Chicago, 254 -254.

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Abstract

We identify a cocycle on the dihedral group $D_n$ of $2_n$ elements which results in a new class of codes called consta-dihedral codes. We define a new transform for these codes and then characterize all the consta-dihedral codes using this new transform. The dihedral group $D_n$ is the set $D_n = \{1,r,r^2, . . . , r^{^n^-^1}, s,rs, r^2s, . . . , r^{^n^-^1}s\}$ where $r^n = s^2 = 1$ and $rs = sr^{^n^-^1}$. In this paper, we assume $n$ is even. The results of this paper can be extended trivially to the case when $n$ is odd. The following definition identifies a cocycle on dihedral group similar to the consta-cycle cocycle on cyclic group [1].

Item Type: Conference Paper
Additional Information: �©1990 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 12 Dec 2005
Last Modified: 19 Sep 2010 04:21
URI: http://eprints.iisc.ernet.in/id/eprint/4390

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