DocumentCode
933785
Title
On t-constant codes and designs (Corresp.)
Author
Roos, Cornelis
Volume
27
Issue
5
fYear
1981
fDate
9/1/1981 12:00:00 AM
Firstpage
640
Lastpage
643
Abstract
Let 
be a binary code containing the zero word, with fundamental parameters 
, and 
, and let 
be a nonnegative integer such that the words of any fixed weight of form a -design, with maximal in this respect. It is shown that 
. Moreover, if contains the all one word, then 
and if is an even weight code then 
. Finally, the following inequality is derived: 
, provided that 
.
be a binary code containing the zero word, with fundamental parameters , and , and let be a nonnegative integer such that the words of any fixed weight of form a -design, with maximal in this respect. It is shown that . Moreover, if contains the all one word, then and if is an even weight code then . Finally, the following inequality is derived: , provided that .Keywords
Coding; Matrices; Polynomials; Terminology;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1981.1056406
Filename
1056406
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