Acquiring Warp Fuel
After you have the hyperdrive installed, get back into your ship and leave the planet you’re on. As soon as you do, you’ll get a new HUD icon and mission objective. Travel to the source of the mysterious signal, and land near it.
Get out and enter the structure the signal is originating from. Go inside, and you’ll find a computer panel that you have to repair by removing material from two components. Once you’ve done so, interact with the panel, and take the antimatter. You’ve receive the antimatter, as well as a new blueprint.
Craft the antimatter housing in a free inventory slot. To do so, you’ll need sufficient oxygen and ferrite dust. If you don’t already have them, they’re easy to find. Once you have the antimatter housing, next you need to craft the warp fuel itself.
After crafting the warp fuel, you can now fuel the hyperdrive. To do so, you can either use the inventory recharge option as per usual (remember that the hyperdrive is in the technology section,) or you can use the quick menu (D-pad down or x key,) scroll to and selection Recharge, select the hyperdrive, and then the warp fuel. Note that you can recharge all critical systems in this way if you choose to.
The game will now tell you to explore deeper space, but before you leave your starting system, make sure you do whatever you want to (or feel the need to.) In particular, stock up on essential supplies.