Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modular Lattices from a Variation of Construction A over Number Fields   We consider a variation of Construction A of lattices from linear codes based
on two classes of number fields, totally real and CM Galois number fields. We
propose a generic construction with explicit generator and Gram matrices, then
focus on modular and unimodular lattices, obtained in the particular cases of
totally real, respectively, imaginary, quadratic fields. Our motivation comes
from coding theory, thus some relevant properties of modular lattices, such as
minimal norm, theta series, kissing number and secrecy gain are analyzed.
Interesting lattices are exhibited.

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The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn