Chapter 4: Problem 3 Previous Problem Problem List Next Problem (1 point) This question concerns the field GF(256). The modulus is P(x) = x8 + x4 - x3 + x + 1. Please answer the following questions about arithmetic in this field. = 5 a) If p(x) = x + x+ x4 + x3 + x, what is the corresponding hexadecimal representation? Please prepend an "Ox" on your answer and use lowercase letters (if letters occur). b) If p(x) = x4 + 1, what is the corresponding hexadecimal representation? Please prepend an "Ox" on your answer and use lowercase letters (if letters occur). c) Consider the hex byte Oxle. What is the corresponding element of GF(256) (as a polynomial)? d) Consider the hex byte Oxa5. What is the corresponding element of GF(256) (as a polynomial)