Proof. Carry-free multiplication still applies. For m = 10011 or 20001, we have S(mP11) = 3 × 11 = 33 and Sp(mP11) = Sp(m) + 11. It suffices to check that Sp(m) = 22, and this is true as 10011 = 3×47×71 and 20001 = 3×59×113.
Proof. Carry-free multiplication still applies. For m = 10011 or 20001, we haveS(mP11) = 3 × 11 = 33 and Sp(mP11) = Sp(m) + 11. It suffices to check thatSp(m) = 22, and this is true as 10011 = 3×47×71 and 20001 = 3×59×113.