This document describes a proposed modular multiplication algorithm that divides the computation into two steps:
1) A multiplication step that uses Toom-Cook multiplication to split the inputs into five parts
2) A modular multiplication step that uses Barrett and Montgomery modular multiplication algorithms in parallel to compute the results of the five parts from the first step.
The algorithm is designed to minimize the number of single-precision multiplications and enable more than three-way parallel computation, improving efficiency over other modular multiplication methods.