1. Further requirements: to achieve quadratic polynomial multiplication.

2. The polynomial multiplication is performed by sub-polynomial multiplications and additions.

3. The FPT algorithm of multi-variable polynomial multiplication in detail was discussed the case of two-variable.

4. Through the finite domain multiplier design based on the polynomial multiplication theory in finite domain, a new simple multiplication algorithm in finite domain is introduced.

5. I felt that I could let through, I want to know polynomial multiplication.