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License: Apache License 2.0
Should we be using some authenticated encryption mode (e.g., GCM) instead of ECB mode here?
It looks like Shamir_ValidateShares
and Shamir_ReconstructShares
are both doing the expensive polynomial interpolation. Instead, you could interpolate the polynomial once (in Shamir_ReconstructShares
) and then pass the coefficients of that polynomial to Shamir_ValidateShares
, which could check that all of the shares are point on that polynomial.
Just FYI, there are faster (but more complicated) algorithms for interpolation. As the number of parties in the MPC increases this quadratic-time step might be a bottleneck. We can look at implementing one of these other algorithms later on if need be.
See algorithm 10.11 in this book:
https://www.cambridge.org/core/books/modern-computer-algebra/fast-polynomial-evaluation-and-interpolation/7E7AF0E32AB217547BA83B7F6BF06CAA
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