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Base conversion needs many multiplications with some precomputed CRT factors.
Thus, we can use the faster mulmod method via Shoup's trick, i.e. using the preconditioner floor(y*2^64/p).
Same reason for multiply_poly_scalar_coeffmod.
Performance from
sealexample.cpp
clang
on 2.3 GHz Intel Core i5N = 16384 case
N = 32768 case
g++-7
on Intel(R) Xeon(R) Platinum 8269CY CPU @ 2.50GHzN = 16384 case
N = 32768 case