DocumentCode
890281
Title
Bounds on the Minimum Homogeneous Distance of the pr-ary Image of Linear Block Codes Over the Galois Ring GR(pr,m)
Author
Solé, Patrick ; Sison, Virgilio
Author_Institution
CNRS, Sophia Antipolis
Volume
53
Issue
6
fYear
2007
fDate
6/1/2007 12:00:00 AM
Firstpage
2270
Lastpage
2273
Abstract
In this correspondence, bounds are derived on the minimum homogeneous distance of the image of a linear block code over the Galois ring GR(pr,m), with respect to any basis of GR(pr,m). These bounds depend on the parameters of GR(pr ,m), the minimum Hamming distance of the block code, and the average value of the homogeneous weight applied on the base ring Zopf p r. Examples are given of Galois ring codes that meet these bounds
Keywords
Galois fields; Hamming codes; block codes; linear codes; Galois ring; Hamming distance; homogeneous weight; linear block code; minimum homogeneous distance; p-ary image; Block codes; Conferences; Convolutional codes; Decoding; Entropy; Galois fields; Hamming distance; Lattices; MPEG 4 Standard; Upper bound; Galois rings; Plotkin bound; homogeneous weight;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.2007.896891
Filename
4215150
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