DocumentCode
925955
Title
On encoding and decoding maps for group codes (Corresp.)
Author
Crimmins, Thomas R.
Volume
22
Issue
6
fYear
1976
fDate
11/1/1976 12:00:00 AM
Firstpage
763
Lastpage
764
Abstract
The problem of minimizing mean-square error when digital data is encoded into the elements of a group code via an encoding map a and the received elements of the group code are decoded via a decoding map 
is considered. This problem has been solved under the restriction that 
. It is shown that the same solution still obtains when this restriction is removed.
is considered. This problem has been solved under the restriction that . It is shown that the same solution still obtains when this restriction is removed.Keywords
Decoding; Group codes; Band pass filters; Decoding; Encoding; Fast Fourier transforms; Galois fields; Mean square error methods; Probability density function; Vectors;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1976.1055634
Filename
1055634
Link To Document