DocumentCode
916102
Title
On neighbor distances and symmetry in group codes (Corresp.)
Author
Slepian, D.
Volume
17
Issue
5
fYear
1971
fDate
9/1/1971 12:00:00 AM
Firstpage
630
Lastpage
632
Abstract
This correspondence provides counterexamples to two frequently proposed conjectures concerning group codes for the Gaussian channel. It is shown 1) that a code for which the list of distances from codeword 
to all other words is independent of is not necessarily a group code, and 2) a group code of 
words need not possess a transitive symmetry group of order .
to all other words is independent of is not necessarily a group code, and 2) a group code of words need not possess a transitive symmetry group of order .Keywords
Group codes; AWGN channels; Additive white noise; Gaussian channels; Gaussian noise; Logic; Maximum likelihood estimation; Reactive power; Statistics; Telemetry;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1971.1054674
Filename
1054674
Link To Document