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
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