Question: In class, you learned two methods to compute the multiplicative inverse of an operand over a finite field; Fermat's Little Theorem (FLT) and Extended

In class, you learned two methods to compute the multiplicative inverse of

In class, you learned two methods to compute the multiplicative inverse of an operand over a finite field; Fermat's Little Theorem (FLT) and Extended Euclidean Algorithm (EEA). The finite field is constructed overp multiplicative inverse of a = 51 over F, using the below methods. Show your work. Then verify your results using SageMath. Show all results in Hexadecimal. 217 1 (Mersenne prime from the previous exercise). Compute the (a) Fermat's Little Theorem (FLT) (b) Extended Euclidean Algorithm (EEA) Remark 1: FLT requires you to exponentiate by a very large number. Use SageMath to compute it. Please include the code in your submission. Remark 2: For EEA, use the algorithm from class. Show all steps.

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