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Any SuperSingular curve or similar with Fp = Fq which is not badly broken unless big field orders are used?
If I interpret your question correctly, you want to know if there is a curve over a prime field $\mathbb F_p$ such that the order of the curve group is itself $p$. Such curves are called anomalous ...
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What does preprocessed polynomial mean in the context of PLONK?
Pre-processing means part of the one-time initial set up computation of the system prior to the generation of any proofs. This set-up phase is allowed to use considerably more resources.
If we look to ...
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PLONK: Why is the quotient polynomial multiplied by different powers of a challenge?
The quotient challenge is necessary for soundness. In particular, if the prover wants to show that there exists quotients $q_1=f_1/z_H$, $q_2=f_2/z_H$, and $q_2=f_2/z_H$. To do so, it can instead send ...
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