Codes over binary extension fields yield compact qubit magic state distillation protocols, including a 4-to-1 CS protocol at distance 2 on four logical qubits and a 24-to-4 CCZ protocol at distance 3.
For the triple intersections (a̸=bora, b, cpairwise distinct):
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Magic State Distillation via Codes over Binary Extension Fields
Codes over binary extension fields yield compact qubit magic state distillation protocols, including a 4-to-1 CS protocol at distance 2 on four logical qubits and a 24-to-4 CCZ protocol at distance 3.