Some Nonexistence Results for $7$-Dimensional Ternary Linear Codes

Abstract

Let $d_3(n,k)$ be the maximum possible minimum Hamming distance of a ternary linear $[n,k,d;3]$ code for given values of $n$ and $k$. The nonexistence of $[142,7,92;3]$, $[162,7,106;3]$, $[165,7,108;3]$, and $[191,7,125;3]$ codes is proved.