Title
Zero-Error Slepian–Wolf Coding of Confined-Correlated Sources With Deviation Symmetry
Abstract
In this paper, we use linear codes to study zero-error Slepian–Wolf coding of a set of sources with deviation symmetry, where the sources are generalization of the Hamming sources over an arbitrary field. We extend our previous codes, generalized Hamming codes for multiple sources, to matrix partition codes and use the latter to efficiently compress the target sources. We further show that every perfect or linear-optimal code is a matrix partition code. We also present some conditions when matrix partition codes are perfect and/or linear-optimal. Detail discussions of matrix partition codes on Hamming sources are given at last as examples.
Year
DOI
Venue
2013
10.1109/TIT.2013.2282970
IEEE Transactions on Information Theory
Keywords
DocType
Volume
Hamming codes,linear codes,Hamming code,confined-correlated source,linear-optimal code,matrix partition code,symmetry deviation,zero-error Slepian-Wolf coding,Confined-correlated source,Hamming code,Hamming code for multiple sources (HCMSs),Hamming source,Slepian-Wolf,deviation symmetry,linear-optimum compression,matrix partition code,perfect compression
Journal
59
Issue
ISSN
Citations 
12
0018-9448
0
PageRank 
References 
Authors
0.34
0
2
Name
Order
Citations
PageRank
Rick Ma131.41
Samuel Cheng2496.18