A normal form for definite quadratic forms over $\mathbb{F}_{q}[t]$
Markus Kirschmer · Mathematics of Computation · 2011
An efficient algorithm to compute automorphism groups and isometries of definite $\mathbb {F}_q[t]$-lattices for odd $q$ is presented. The algorithm requires several square root computations in $\mathbb {F}_{q^2}$ but no enumeration of orbits having more than eight elements.