  We review the current status of strangeness as signature of the formation and
dissociation of the deconfined QGP at the SPS energy scale, and present the
status of our considerations for RHIC energies. By analyzing, within the
framework of a Fermi statistical model, the hadron abundance and spectra, the
properties of a disintegrating, hadron evaporating, deconfined QGP fireball are
determined and can be compared with theory for the energy range 160--200AGeV on
fixed target. We discuss in more detail our finding that the pion yields occur
near to pion condensation condition. Dynamical models of chemical strangeness
equilibration are developed and applied to obtain strangeness production in a
QGP phase at conditions found at SPS and expected at RHIC.
  The sudden QGP break up model that works for the SPS data implies at RHIC
dominance of both baryon, and antibaryon, abundances by the strange baryon and
antibaryon yields.
