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TNFS Resistant Families of Pairing-Friendly Elliptic Curves

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Figure

Table 1: Bit size of curve parameters and embedding degrees for a desired security level.
Table 2: Cyclotomic Complete families at 128-bit security level.
Table 3: Cyclotomic Complete families at 128-bit security level with lifts t1, y1 ∈ Q and ρ = 2.
Table 4: Cyclotomic Complete families at 192-bit security level.
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