Jacobi sums of order $2l^2$

The aim of this paper is to deal with congruences for Jacobi sums of order $2l^2$ over a finite field ${\mathbb{F}}_q,q=p^r$, $p^{r}\equiv 1\ (mod
2l^{2})$,where$l>3$and$p$ are primes. Further, we also calculate Jacobi sums $J_{2l^2}(1,n)$ of order $2l^2$ in terms of Dickson-Hurwitz sums.