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$1+1$-dimensional Dirac oscillator with minimal uncertainty in position andmaximal in momentum is investigated. To obtain energy spectrum SUSY QMtechnique is applied. It is shown that the Dirac oscillator has two branches ofspectrum, the first one gives the standard spectrum of the Dirac oscillatorwhen the parameter of deformation goes to zero and the second branch does nothave nondeformed limit. Maximal momentum brings an upper bound for the energyand it gives rise to the conclusion that the energy spectrum contains a finitenumber of eigenvalues. We also calculate partition function for the spectrum ofthe first type. The partition function allows us to derive thermodynamicfunctions of the oscillator which are obtained numerically.

$1+1$-dimensional Dirac oscillator with deformed algebra with minimal uncertainty in position and maximal in momentum