fj, (edited ) French "Remarkably, these near-hypercubic lattices cover Falcon and most concrete instances of the NTRU cryptosystem:
this is the first provable result showing that breaking NTRU lattices can be reduced to finding shortest lattice vectors in halved dimension, thereby providing a positive response to a conjecture of Gama, Howgrave-Graham and Nguyen at Eurocrypt 2006.”