A categorical proof of the nonexistence of (120, 35, 10)-difference sets

Hiroki Kajiura, Makoto Matsumoto

A difference set with parameters $(v,k,\lambda )$ is a subset $D$ of cardinality $k$ in a finite group $G$ of order $v$, such that the number $\lambda$ of occurrences of $g\in G$ as the rati…