DocumentCode
920840
Title
Configuration matrices of group codes
Author
Blake, Ian F.
Volume
20
Issue
1
fYear
1974
fDate
1/1/1974 12:00:00 AM
Firstpage
95
Lastpage
100
Abstract
Properties of configuration matrices of group codes for the Gaussian channel are considered. It is shown that the configuration matrix of a code generated by a real-irreducible representation is a scalar multiple of an idempotent matrix. A spectral resolution of the configuration matrix of a code generated by an arbitrary real representation is given, and all of its eigenvalues are determined. A relatively simple criterion to determine when the group code spans the space is derived.
Keywords
Group codes; Councils; Eigenvalues and eigenfunctions; Gaussian channels;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1974.1055143
Filename
1055143
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