HVL-F20AM flash: Can it do HSS?

Double-posted at NEX forum.

Like most NEX-6 onwers I am looking for an external flash. I already ordered the ADP-MAA. My dilema is should I go for the smaller F20AM or the F43AM? I prefer the former because of its portability and better balance with my NEX-6 and e-mount lenses. But I am getting conflicting reports if it does HSS------which is essential for me for fill-in outdoors and using fast lenses to get shallow DOF. So I am just looking for clarification.

Thanks in advance.

José