On Fri, Jul 29, 2016 at 11:29:39AM +0530, Vinay Wagh wrote:
> Dear Forum,
> 
> I would like to solve a system of multi-variable linear congruences
> mod n. I found that sage offers a command called solve_mod. I will be
> happy to get some pointers in GAP itself, which does the same job.

Such problems reduce to Hermite normal form computation, so you can
use HermiteNormalFormIntegerMatTransform for that.

Cheers,
Bill.

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