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On Asymptotic Elias Bound for Euclidean Space Codes over Distance-Uniform Signal Sets

Viswanath, G and Rajan, Sundar B (2003) On Asymptotic Elias Bound for Euclidean Space Codes over Distance-Uniform Signal Sets. In: IEEE International Symposium on Information Theory, 2003, 29 June-4 July, Yokohama,Japan, 466 -466.


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The asymptotic Elias upper bound of codes designed for Hamming distance is well known. Piret [3] and Ericsson [4] have extended this bound for codes over symmetric PSK signal sets with Euclidean distance and for codes over signal sets that form a group, with a general distance function respectively. The tightness of these bounds depend on a choice of a probability distribution, and finding the distribution (called optimum distribution henceforth) that leads to the tightest bound is difficult in general. In [1] these bounds were extended for codes over the wider class of distance-uniform signal sets. In this paper we obtain optimum distributions for codes over signal sets matched [2] to (i) dihedral group, (ii) dicyclic group, (iii) binary tetrahedral group, (iv) binary octahedral group, (v) binary icosahedral group and (vi) n-dimensional cube. Further we compare the bounds of codes over these signal sets based on the spectral rate.

Item Type: Conference Paper
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Department/Centre: Division of Electrical Sciences > Electrical Communication Engineering
Date Deposited: 21 Dec 2005
Last Modified: 19 Sep 2010 04:22
URI: http://eprints.iisc.ernet.in/id/eprint/4723

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