A parametric family of simple Lie algebras

Over an algebraically closed field $k$ of characteristic $p=3$, a ten-dimensional simple Lie $p$-algebra $L(\varepsilon)$ is constructed which depends only on the parameter $\varepsilon\in k$. It is proved that algebras$L(\varepsilon)$ and $L(\varepsilon')$ are nonisomorphic for distinct values of $\varepsilon$ and $\varepsilon'$, $\varepsilon\varepsilon'\ne1$.