[GAP Forum] how to iterate over all matrices over a finite field?

[Benoit Jacob]

Hello,

What would be a simple way to write a "for" loop iterating over all square
matrices of a fixed size, say NxN, over some fixed finite field GF(q) ?  So
there would be q^(N^2) iterations? - of course, one could write a for loop
over integers from 1 to q^(N^2) and for each integer construct a
corresponding matrix, but is there a simpler way?

Thanks,
Benoit