DocumentCode :
932991
Title :
On ternary self-dual codes of length 24
Author :
Leon, Jeffrey S. ; Pless, Vera ; Sloane, N. J A
Volume :
27
Issue :
2
fYear :
1981
fDate :
3/1/1981 12:00:00 AM
Firstpage :
176
Lastpage :
180
Abstract :
A partial classification is given of the self-dual codes of length 24 over GF (3). The main results are as follows: there are exactly two codes with minimum Hamming distance 
; most of the codes have 
and are indecomposable; one code with has a trivial automorphism group (this is the first such self-dual code that has been found); the codes generated by the 
inequivalent 
Hadamard matrices have been investigated and there appear to be only nine inequivalent codes (two with and seven with 
; and in all there are 
decomposable codes, at least 
indecomposable codes with , and the total number of inequivalent codes is at least 
.
; most of the codes have and are indecomposable; one code with has a trivial automorphism group (this is the first such self-dual code that has been found); the codes generated by the inequivalent Hadamard matrices have been investigated and there appear to be only nine inequivalent codes (two with and seven with ; and in all there are decomposable codes, at least indecomposable codes with , and the total number of inequivalent codes is at least .Keywords :
Dual codes; Error correction; Error correction codes; Hamming distance; Helium; Mathematics; Matrix decomposition; Sections;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1981.1056328
Filename :
1056328
Link To Document :
