Lattices of type $A_n$, $D_n$, $E_n$ and codes
Number Theory
2025-02-28 v1
Abstract
We propose a construction of lattices from codes corresponding to lattices of type , and . This construction is a generalization of construction A of lattices from -ary codes corresponding to a lattice of type . Moreover, we introduce some examples of application of lattices from the construction to Hilbert modular form.
Cite
@article{arxiv.2502.19753,
title = {Lattices of type $A_n$, $D_n$, $E_n$ and codes},
author = {Riku Higa},
journal= {arXiv preprint arXiv:2502.19753},
year = {2025}
}