A Simple Algorithm for Factorial Experiments in $\rho^N$

Factorial designs with two-level factors represent the smallest factorial experiments. The system of notation and confounding and fractional factorial schemes developed for the system are found in standard textbooks of experimental designs. Just as in the system, the general confounding and fractional factorial schemes are possible in , .... , and where is a prime number. Hence, we have the system. In this article, the author proposes a new algorithm for constructing fractional factorial plans in the system.