Bounds on the minimum homogeneous distance of the pr-ary image of linear block codes over the galois ring GR(pr,m)
Issue Date
6-2007
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 Zpr. Examples are given of Galois ring codes that meet these bounds. © 2007 IEEE.
Source or Periodical Title
IEEE Transactions on Information Theory
ISSN
189448
Volume
53
Issue
6
Page
2270-2273
Document Type
Article
Language
English
Subject
Galois rings, Homogeneous weight, Plotkin bound
Recommended Citation
P. Sole and V. Sison, "Bounds on the Minimum Homogeneous Distance of the pr-ary Image of Linear Block Codes over the Galois Ring GR(pr, m)," 2007. IEEE International Symposium on Information Theory, 2007, pp. 1971-1974.
Identifier
DOI:10.1109/ISIT.2007.4557510
Digital Copy
YES