مرکز منطقه ای اطلاع رساني علوم و فناوري - On t-constant codes and designs (Corresp.)

DocumentCode :

933785

Title :

On t-constant codes and designs (Corresp.)

Author :

Roos, Cornelis

Volume :

Issue :

fYear :

1981

fDate :

9/1/1981 12:00:00 AM

Firstpage :

640

Lastpage :

643

Abstract :

Let $C$ be a binary code containing the zero word, with fundamental parameters $d,s,d\´$ , and $s$ , and let $t$ be a nonnegative integer such that the words of any fixed weight of $C$ form a $t$ -design, with $t$ maximal in this respect. It is shown that $t \\geq \\max (d-s\´,d\´-s)$ . Moreover, if $C$ contains the all one word, then $t \\geq d\´- s+1$ and if $C$ is an even weight code then $t \\geq d - s\´ + 1$ . Finally, the following inequality is derived: $d\´-s < d$ , provided that $d> 2$ .