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Proceedings Paper

Binary block codes from Euclidean embeddings and random hyperplane tessellations
Author(s): Bernhard G. Bodmann; Robert P. Mendez
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Paper Abstract

In this paper we use Euclidean embeddings and random hyperplane tessellations to construct binary block codes. The construction proceeds in two stages. First, an auxiliary ternary code is chosen which consists of vectors in the union of coordinate subspaces. The subspaces are selected so that any two vectors of different support have a sufficiently large distance. In addition, any two ternary vectors from the auxiliary codebook that have common support are at a guaranteed minimum distance. In the second stage, the auxiliary ternary code is converted to a binary code by an additional random hyperplane tessellation.

Paper Details

Date Published: 24 August 2017
PDF: 10 pages
Proc. SPIE 10394, Wavelets and Sparsity XVII, 103940M (24 August 2017); doi: 10.1117/12.2273917
Show Author Affiliations
Bernhard G. Bodmann, Univ. of Houston (United States)
Robert P. Mendez, Univ. of Houston (United States)

Published in SPIE Proceedings Vol. 10394:
Wavelets and Sparsity XVII
Yue M. Lu; Dimitri Van De Ville; Manos Papadakis, Editor(s)

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