Questions tagged [dual-lattice]

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Definition of Dual Lattice: $\vec{v}\in span_{\mathbb{R}}(\mathcal{L}(\mathbf{B}))$

Consider the definition of the dual lattice for a lattice $\mathcal{L}(\mathbf{B}_{m\times n})\in\mathbb{R}^{m}$ where $\mathbf{B}\in\mathbb{R}^{m\times n}$ and $n\leq m$ [sp2 Seminar, Luxembourg 2019,...
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Definition of Dual Lattice

1- Can someone explain why we have the definition of dual of a lattice like $\Lambda^*=\{\vec{v}\in span(\textbf{B}): \langle \vec{v},\vec{x} \rangle \in \mathbb{Z}, \forall \vec{x} \in \Lambda\} $. 2-...
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