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Add QuickSilver with io #182

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Add QuickSilver with io #182

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xiangxiecrypto
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@xiangxiecrypto xiangxiecrypto commented Sep 12, 2024

The current PR implements the QuickSliver protocol with IO.
But still some optimizations are needed.

  1. The FS transformation is not accurate, the transcripts in the ideal functionalities are not included.
  2. In the protocol, the prover needs to send a bit per AND gate to the verifier, we should optimize it.
  3. Heavy operations can be optimized. E.g., computing the powers of Block and inner product between two long Block vectors.

@xiangxiecrypto
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Do you want me to merge #174 #172 #171 to this PR for you to review? @sinui0

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