Whilst allelopathy is a real phenomenon, e.g. oats WILSON A, SEAVERS GP & WRIGHT KJ An investigation into the allelopathic potential of oats (Avena sativa). 1999 Proceedings 11th EWRS Symposium, Basel, 73., so far as I am aware and despite many hundreds of studies, there are no practical weed management treatments for use in crops.
We tried to use allelopathy with good results in the first stages of growth in maize crop. We used incorporated biomass of several crop plants. Please find publications by Hura et al., Stokłosa et al. (on RG)