A new class of Multiple Recursive Generators, termed DW-k generators, is presented in this chapter. Defined by a characteristic polynomial of order k, these generators ensure primitive properties over a prime modulus p. Through the integration of matrix congruential techniques, the chapter demonstrates how DW-k generators achieve both maximal-period properties and efficient parallelizability. Optimized recurrence relations minimize computational overhead while maintaining high statistical quality. Empirical findings highlight constraints on parameter selection, reinforcing the practical applicability of DW-k generators in demanding simulation tasks.