Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A ternary construction of lattices   In this paper we propose a general ternary construction of lattices from
three rows and ternary codes. Most laminated lattices and Kappa lattices in
${\bf R}^n$, $n\leq 24$ can be recovered from our tenary construction
naturally. This ternary construction of lattices can be used to generate many
new "sub-optimal" lattices of low dimensions.Based on this ternary construction
new extremal even lattices of dimensions $32, 40$ and $48$ are also
constructed.

37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph