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Message Authentication on 64-bit Architectures

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Figure

Figure 1: The hash family UHASH8 iswhere ε-A∆U, when K,k,k1,k2 are chosen randomly from their domains, ε ≈ 2−60 +(l/b)2−107.
Figure 2:The hash family UHASH8-128 isdomains, where ε-A∆U, when K1,K2,k1,k2 are chosen randomly from their ε ≈ (l/b)2−119.
Figure 3: UHASH8 Performance.are listed for comparison. Note that Poly1305 does not have a 64-bit option, so 128-bit output timings arecycles per message authenticated is needed

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