Two new multi-modulus algorithms (MMA)-the dual-mode MMA and the stop-and-go dual-mode MMA for blind decision-feedback equalization of highorder quadrature amplitude modulation (QAM) signals are proposed. Simulations using a fractionallyspaced decision-feedback equalization (DFE) setting are used to compare the proposed scheme with the recently introduced multi-modulus algorithm. The proposed blind equalizers are shown to have faster convergence speed and improved steady-state mean square error, compared with the MMA.