### A new lower bound for the football pool problem for $7$ matches

Let ${K}_{3}(7,1)$ denote the minimum cardinality of a ternary code of length $7$ and covering radius one. In a previous paper, we improved on the lower bound ${K}_{3}(7,1)\ge 147$ by showing that ${K}_{3}(7,1)\ge 150$. In this note, we prove that ${K}_{3}(7,1)\ge 153$.