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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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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
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Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Depositing User: HS Usha
Date Deposited: 12 Dec 2005
Last Modified: 19 Sep 2010 04:21
URI: http://eprints.iisc.ac.in/id/eprint/4390

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