Sounds like SmartTensors from LANL might be what you want?   I’m not sure if 
that does integers.  It focuses only on non-negative I think.

From: Friam <friam-boun...@redfish.com> On Behalf Of Jon Zingale
Sent: Wednesday, November 3, 2021 1:13 PM
To: friam@redfish.com
Subject: [FRIAM] Looking for an algorithm

Hey all,

Given a square matrix over Z2, how do I find whether or not it is the tensor 
product of two simpler square matrices? Are there well-known algorithms for 
deciding this as well as for finding what matrices the original *can be* 
factored into?

[*] Because it is obvious that such factorizations will not always be unique 
even over the field Z2.
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