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Distributed Fountain Codes for Networked Storage
Dimakis, A.G.   Prabhakaran, V.   Ramchandran, K.  
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA;

This paper appears in: Acoustics, Speech and Signal Processing, 2006. ICASSP 2006 Proceedings. 2006 IEEE International Conference on
Publication Date: 14-19 May 2006
Volume: 5,  On page(s): V-V
Location: Toulouse,
ISSN: 1520-6149
ISBN: 1-4244-0469-X
INSPEC Accession Number: 9162843
Digital Object Identifier: 10.1109/ICASSP.2006.1661484
Current Version Published: 2006-07-24

Abstract
We investigate the problem of constructing fountain codes for distributed storage in sensor networks. Specifically, we assume that there are n storage nodes with limited memory and k < n data nodes generating the data by sensing the environment. We want a data collector who can appear anywhere in the network, to query any k + epsi storage nodes and be able to retrieve almost all the data packets. We demonstrate how it is possible to solve this problem by using a specific kind of fountain code that requires only linear communication and decoding complexity. Further, for a grid topology, we propose a randomized algorithm that constructs the fountain code over a network using only geographical knowledge and local decisions. A key step in the analysis of our algorithm is a novel result concerning random walks on finite grids with traps

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