DocumentCode :
939495
Title :
Using codes for error correction and detection (Corresp.)
Author :
Klove, Torleiv
Volume :
30
Issue :
6
fYear :
1984
fDate :
11/1/1984 12:00:00 AM
Firstpage :
868
Lastpage :
870
Abstract :
A linear code 
over GF 
is good for 
-error-correction and error detection if 
for all 
, where 
is the probability of an undetected error after a codeword in is transmitted over a 
-ary symmetric channel with error probability 
and correction is performed for all error patterns with or fewer errors. A sufficient condition for a code to be good is derived. This sufficient condition is easy to check, and examples to illustrate the method are given.
over GF is good for -error-correction and error detection if for all , where is the probability of an undetected error after a codeword in is transmitted over a -ary symmetric channel with error probability and correction is performed for all error patterns with or fewer errors. A sufficient condition for a code to be good is derived. This sufficient condition is easy to check, and examples to illustrate the method are given.Keywords :
Error-correction coding; Error-detection coding; Communication system control; Data communication; Decoding; Error correction; Error correction codes; Error probability; Hamming weight; Linear code; Sufficient conditions;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1984.1056972
Filename :
1056972
Link To Document :
