DocumentCode :
934059
Title :
23 does not divide the order of the group of a (72,36,16) doubly even code (Corresp.)
Author :
Pless, Vera
Volume :
28
Issue :
1
fYear :
1982
fDate :
1/1/1982 12:00:00 AM
Firstpage :
113
Lastpage :
117
Abstract :
An interesting open question is whether a 
doubly even code 
exists. In [3] the odd prime numbers which can divide the order of the group of were determined and 
is the largest of these. Twenty-three is eliminated by reducing the problem to the consideration of 
codes, each of which is shown to have minimum weight 
or less. One of these codes, denoted by 
, arises from the 
construction where 
and 
are in one quadratic residue code and 
is in the other. The weight distribution of is given.
doubly even code exists. In [3] the odd prime numbers which can divide the order of the group of were determined and is the largest of these. Twenty-three is eliminated by reducing the problem to the consideration of codes, each of which is shown to have minimum weight or less. One of these codes, denoted by , arises from the construction where and are in one quadratic residue code and is in the other. The weight distribution of is given.Keywords :
Group coding; Artificial intelligence; Lagrangian functions;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1982.1056432
Filename :
1056432
Link To Document :
