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Based on the relaxation equations describing the chemical equilibration of gluons, quarks and s quarks at finite baryon density derived from the Juttner distribution of partons, with the help of a rapid phase transition scenario from quark phase to hadron phase, we calculate strangeness production in the quark phase and hadron phase. It is found that the K-/π- ratio is enhanced to be larger than that in pp collisions by about a factor 3.