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• f has degree r + 1,
• there exist A 1 , . . . Al distinct subsets of Fq such that
– for any i ∈ {1, . . . l}, f (A i ) = {t i } for some ti ∈ F q , i.e. f is constant on Ai ,
– #A i = r + 1,
– Ai ∩ A j = ∅ for any i ≠ j.
We say that {A1 , . . . , A l } is a splitting covering for f .
'''Tamo Barg Construction'''
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