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Given a 'good' basis for a lattice, how can we solve the CVP?

I'm doing a little bit of reading about lattices. I read that if we can find a 'short' basis for our given lattice, we can solve CVP and SVP very efficiently. However, the paper didn't describe an ...
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what is the motivation and need for lattice-based systems in epassports in post- quantum computers era?

AS shor's algo would break the RSA and DH (though I dont understand the complete steps of shor's algo), all protocols of epassports would be broken so why cant it be not broken with lattice-crypto, ...