Question: (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. a) If p(x)=x6+x4+x3+x,

 (1 point) This question concerns the field GF(256). The modulus is

(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.

a) If p(x)=x6+x4+x3+x, what is the corresponding hexadecimal representation? Please prepend an "0x" on your answer and use lowercase letters (if letters occur). b) If p(x)=0, what is the corresponding hexadecimal representation? Please prepend an "0x" on your answer and use lowercase letters (if letters occur). c) Consider the hex byte 0x6b. What is the corresponding element of GF(256) (as a polynomial)? d) Consider the hex byte 0xac. What is the corresponding element of GF(256) (as a polynomial)?

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. a) If p(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) = 0, 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 Oxb. What is the corresponding element of GF(256) (as a polynomial)? d) Consider the hex byte Oxac. What is the corresponding element of GF(256) (as a polynomial)

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