- 4 Consider Where P P These Groups 2 1 And Z 0 2 C 4 9 Lb Aba 2b A B Mod 10 10 Used To Define A The 1 (497.36 KiB) Viewed 33 times
4. Consider where, p-p²= These * groups. [2₁1] and [Z₁0, 2]>c 4 9+ lb = aba + 2b = a+b (mod 10) 10 used to define a the cartesian product. binary operation. can be (a, b) (d) on Z2₁0 Last A>. What is identity. B> Compute ·lement on this products the product (5, 6) (7,8) 17/1979( to P P 9 5. All work in this question is done in the field extension. 22x (x3 + x + 1) • Work mod (x3 +x+1) over 2₂. nimelal o A Write (Xu + x3 + x2 + x) in this field extension. to determined J ie use polynomial long divisio X3 + x + 1x4 + x3 + x₂ + x (x₂+2) mod 2:1 c B. Find the sum and Product of (x₂ +1) and (2) in this extor This field extension defines a finite on G F(8) = {0, 1, 2, 3, 4, 5, 5 Use your answers to the previous questions. #5t6 and 5x6.