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The choice of materials appropriate for the fabrication of waveguides and other components is the most important problem in the development of THz plasmonics. We consider the suitability of the use of In_2-xCr_xO₃ magnetic semiconductor as a constitutive material for producing nanowires supporting propagation of the transverse magnetic (TM) and transverse electric (TE) modes of surface plasmons. We utilize the feature of this material to behave as a homogeneous low-loss negative refractive index medium existing due to the coexistence of the magnon and plasmon oscillations. The cut-off conditions of the fundamental TM0 and TE0 modes of the waveguide are defined. It is demonstrated that the TE0 mode of surface plasmons has low-frequency and high-frequency cut-offs and can be propagated over a large distance (up to several hundred micrometers) with acceptable mode confinement.