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Add QuickSilver with io
The current PR implements the QuickSliver protocol with IO. But still some optimizations are needed.
- The FS transformation is not
accurate
, the transcripts in the ideal functionalities are not included. - In the protocol, the prover needs to send a bit per AND gate to the verifier, we should optimize it.
- Heavy operations can be optimized. E.g., computing the powers of
Block
and inner product between two longBlock
vectors.