No, you can’t use box springs with the Avenco Hybrid. In fact, you can’t use box springs with any hybrid mattress. Hybrids (and all-foam mattresses as well) are too heavy for box springs. They will over-compress the springs, which could break them or the mattress itself.
You’ll need to put your Avenco mattress on a bed base other than box springs. The good news is you have three options:
You can do a mattress foundation, which will work with your bed frame just like a set of box springs does.
You could choose a platform bed. These beds are made to take the weight of heavy mattresses all by themselves. There’s no need for a bed frame or another bed base like box springs or a foundation.
Finally, the Avenco Original will work with an adjustable base. Hybrid coil systems are flexible enough to move with the base without breaking.