Expanding the capabilities of Multiple Recursive Generators involves leveraging designs with numerous nonzero terms. This chapter examines both the theoretical underpinnings and implementation challenges associated with such generators. While MRGs exhibit superior uniformity properties compared to LCGs, their efficient deployment remains a technical challenge, particularly in parallel computing. A novel approach to identifying maximum-period MRGs is introduced, alongside a method for improving their computational efficiency. These contributions enhance the practical viability of MRGs while maintaining their desirable statistical characteristics.