Many thanks! On Mon, Dec 14, 2015 at 9:00 AM, Sven Reichard <sven.reich...@tu-dresden.de> wrote:
> Hello Benoit, > > matrices are tuples of tuples, so we can use the combinatorial > functions. As we do not want to store the complete list of matrices we > use an iterator. > > gap> n := 3;; F := GF(3);; > gap> rows := Tuples(F, n); > gap> matrices := IteratorOfTuples(rows, n); > gap> for matrix in matrices do > > process(matrix); > > od; > > Hope this helps. > > If the set of rows is too large to be stored, the set of matrices is > likely too large to be processed. However maybe there is also a way of > avoiding storage of the rows. > > Sven Reichard > > > > On 12/14/2015 02:34 PM, Benoit Jacob wrote: > > 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 > > _______________________________________________ > > Forum mailing list > > Forum@mail.gap-system.org > > http://mail.gap-system.org/mailman/listinfo/forum > > > > > _______________________________________________ > Forum mailing list > Forum@mail.gap-system.org > http://mail.gap-system.org/mailman/listinfo/forum > > _______________________________________________ Forum mailing list Forum@mail.gap-system.org http://mail.gap-system.org/mailman/listinfo/forum