For a new equation of state of strange quark matter, we construct equilibri
um sequences of rapidly rotating strange stars in general relativity. The s
equences are the normal and supramassive evolutionary sequences of constant
rest mass. We also calculate equilibrium sequences for a constant value of
Omega corresponding to the most rapidly rotating pulsar PSR 1937+21. In ad
dition, we calculate the radius of the marginally stable orbit and its depe
ndence on Omega, relevant for modeling of kilohertz quasi-periodic oscillat
ions in X-ray binaries.