DocumentCode :
905223
Title :
Maximum distance q -nary codes
Author :
Singleton, Richard C.
Volume :
10
Issue :
2
fYear :
1964
fDate :
4/1/1964 12:00:00 AM
Firstpage :
116
Lastpage :
118
Abstract :
A q -nary error-correcting code with N = q^{k} code words of length n = k + r can have no greater minimum distance d than r+1 . The class of codes for which d = r+1 is studied first in general, then with the restriction that the codes be linear. Examples and construction methods are given to show that these codes exist for a number of values of q, k , and r .
Keywords :
Error-correcting codes; Binary codes; Error correction codes; Reed-Solomon codes;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1964.1053661
Filename :
1053661
Link To Document :
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