New Optimal Constant Weight Codes

Abstract

In 2006, Smith et al. published a new table of constant weight codes, updating existing tables originally created by Brouwer et al. This paper improves upon these results by filling in 9 missing constant weight codes, all of which are optimal by the second Johnson bound. This completes the tables for $A(n,16,9)$ and $A(n,18,10)$ up to $n=63$ and corrects some $A(n,14,8)$.