  This paper presents the Tate pairing computation on generalized Huff curves
proposed by Wu and Feng. In fact, we extend the results of the Tate pairing
computation on the standard Huff elliptic curves done previously by Joye,
Tibouchi and Vergnaud. We show that the addition step of the Miller loop can be
performed in $1\mathbf{M}+(k+15)\mathbf{m}+2\mathbf{c}$ and the doubling one in
$1\mathbf{M} + 1\mathbf{S} + (k + 12) \mathbf{m} + 5\mathbf{s} + 2\mathbf{c}$
on the generalized Huff curve.
