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How is a lattice defined? A lattice $\mathcal L(B)$ is the set of all integer combinations of the basis $B = \{b_1, ..., b_n\}$ of $n$ linearly independent vectors. That is, lattice $\mathcal L(B)$ is defined as: $$\mathcal L(B) = \{ B \cdot z \;: \; z \in \mathbb Z^n\}$$ In cryptography, we are interested on integer ...