DocumentCode :
936581
Title :
Cyclic self-dual codes
Author :
Sloane, N. J A ; Thompson, J.G.
Volume :
29
Issue :
3
fYear :
1983
fDate :
5/1/1983 12:00:00 AM
Firstpage :
364
Lastpage :
366
Abstract :
It is shown that if the automorphism group of a binary self-dual code satisfies a certain condition then the code contains words of weight congruent to 
modulo 
. In particular, no cyclic binary self-dual code can have all its weights divisible by four. The number of cyclic binary self-dual codes of length n is determined, and the shortest nontrivial code in this class is shown to have length 
.
modulo . In particular, no cyclic binary self-dual code can have all its weights divisible by four. The number of cyclic binary self-dual codes of length n is determined, and the shortest nontrivial code in this class is shown to have length .Keywords :
Cyclic coding; Dual coding; Codes; Mathematics; Orbits; Retirement; Statistics;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1983.1056682
Filename :
1056682
Link To Document :
