In the context of the FCC IS European study, which investigates the feasibility of a 100 km circular 𝑒 + 𝑒 − collider for the future high-energy physics research, we present the design status of the High Energy Booster (HEB) ring. In order to perform precision measurements of the Z, W and H bosons, as well as of the top quark, unprecedented luminosities are required. To reach this goal and to fill the collider, it is mandatory to continuously top-up inject some beam with emittances comparable to those in the collider, so as to maintain an intensity difference between colliding electron and positron bunches below a few %. The main challenges of the HEB design are achieving the collider equilibrium emittances with a fast cycle, and determining the minimum booster injection energy allowing for stable operation. We present the status of the optics design of the HEB, taking into account the above challenges, and the impact of magnetic field imperfections on the dynamic aperture at injection.