The electroweak phase transition at $m_H\simeq 80$ GeV from $L_t=2$ lattices

We study the finite-temperature electroweak phase transition by numerical simulations of the four-dimensional SU(2)-Higgs model on anisotropic lattices with temporal extension $L_t=2$. The physically interesting parameter region of Higgs masses near 80 GeV is reached, and recent results on some thermodynamic quantities are presented.