DocumentCode :
936569
Title :
On the coveting radius of extremal self-dual codes
Author :
Assmus, Edward F., Jr. ; Pless, Vera
Volume :
29
Issue :
3
fYear :
1983
fDate :
5/1/1983 12:00:00 AM
Firstpage :
359
Lastpage :
363
Abstract :
It is known that every self-dual binary code which is not doubly even is a "child" of a doubly even parent. It will be shown that an 
child of an 
doubly even parent has covering radius 
. Every extremal doubly even 
code has covering radius 
and every extremal doubly even 
code has covering radius 
. The complete coset weight distribution of the quadratic residue code is given, as well as bounds or exact values for the covering radii of all extremai doubly even codes of length less than or equal to 
.
child of an doubly even parent has covering radius . Every extremal doubly even code has covering radius and every extremal doubly even code has covering radius . The complete coset weight distribution of the quadratic residue code is given, as well as bounds or exact values for the covering radii of all extremai doubly even codes of length less than or equal to .Keywords :
Dual coding; Binary codes; Linear code; Mathematics; Retirement; Terminology;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1983.1056681
Filename :
1056681
Link To Document :
