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arXiv · 2502.19753

Lattices of type $A_n$, $D_n$, $E_n$ and codes

Riku Higa
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Abstract

We propose a construction of lattices from codes corresponding to lattices of type $A_n$, $D_n$ and $E_n$. This construction is a generalization of construction A of lattices from $p$-ary codes corresponding to a lattice of type $A_{p-1}$. Moreover, we introduce some examples of application of lattices from the construction to Hilbert modular form.

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Riku Higa. 2025-02-27. Lattices of type $A_n$, $D_n$, $E_n$ and codes. https://arxiv.org/abs/2502.19753

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