  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.
