@Kitonum Thank you so much.

@Kitonum  @Carl Love Sorry, I want to list all polynomials generated by the multiplication of two polynomials defined with coefficients 0 or 1.

For n=3 (3-term polynomials,not degree ), I would like to list the elements of the following set:

 {(a_0*x_0+a_1*x_1+a_2*x_2)* (b_0*y_0+b_1*y_1+a_2*y_2) s.t. a_0,a_1,a_2,b_0,b_1,b_2 are 0 or 1}

={x_0y_0, x_0y_1,...,(x_0+x_1)(y_0+y_1),...,(x_0+x_1+x_2)(y_0+y_1+y_2)}

i.e. we obtain x_0y_0 when a_0=1, a_1=0, a_2=0, b_0=1, b_1=0, b_2=0.

I hope this clarifies my question.