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In lattice-based cryptography, which of the following can be done faster using the private key rather than the public key: a) encipher a message b)

In lattice-based cryptography, which of the following can be done faster using the private key rather than the public key:

a) encipher a message
b) determine whether any random vector points left or right
c) find the closest lattice point to any arbitrary point
d) find the distance between two points which are on the lattice

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