  $1+1$-dimensional Dirac oscillator with minimal uncertainty in position and
maximal in momentum is investigated. To obtain energy spectrum SUSY QM
technique is applied. It is shown that the Dirac oscillator has two branches of
spectrum, the first one gives the standard spectrum of the Dirac oscillator
when the parameter of deformation goes to zero and the second branch does not
have nondeformed limit. Maximal momentum brings an upper bound for the energy
and it gives rise to the conclusion that the energy spectrum contains a finite
number of eigenvalues. We also calculate partition function for the spectrum of
the first type. The partition function allows us to derive thermodynamic
functions of the oscillator which are obtained numerically.
