1. Find the multiplicative inverse of 14 in GF(31) domain using Fermat’s little theorem. Show your...

1. Find the multiplicative inverse of 14 in GF(31) domain using Fermat’s little theorem. Show your work.

2 Using Euler’s theorem to find the following exponential: 4200 mod 27. Show how you have employed Euler’s theorem here.

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venereology answered 1 year ago

Q4. Find the multiplicative inverse of 14 in GF(31) domain using Fermat’s little theorem. Show your...

Q4. Find the multiplicative inverse of 14 in GF(31) domain using Fermat’s little theorem. Show your work Q5. Using Euler’s theorem to find the following exponential: 4200mod 27. Show how you have employed Euler’s theorem here

1. Find all solutions to the following linear congruences using Fermat’s Little Theorem or Euler’s Theorem...

1. Find all solutions to the following linear congruences using Fermat’s Little Theorem or Euler’s Theorem to help you. Show all your steps. (a) 3462x ≡ 6 173 (mod 59) (b) 27145x ≡ 1 (mod 42)

Problem Solving Set #1 (10 pts each) a. Find the multiplicative inverse of 1234 in GF(4321)...

Problem Solving Set #1 (10 pts each) a. Find the multiplicative inverse of 1234 in GF(4321) using the extended Euclidean algorithm b. Does the multiplicative inverse of 24140 in GF(40902) exist? Prove your answer. c. Is x4 + 1 irreducible over GF(2)? Prove your answer. d. Find (x3 + x + 1)-1 in GF(24 ) mod x4 + x + 1 using the extended Euclidean algorithm e. Find (x3 + x + 1)-1 in GF(28 ) mod x8 + x4...

Use this theorem to find the inverse of the given matrix or show that no inverse...

Use this theorem to find the inverse of the given matrix or show that no inverse exists. (If an answer does not exist, enter DNE in any cell.) 1 2 5 1 −1 0 2 1 2 1 −5 0 1 1 2 1

Write a program( preferably in C++) using the extended Euclidean algorithm to find the multiplicative inverse of...

Write a program( preferably in C++) using the extended Euclidean algorithm to find the multiplicative inverse of a mod n. Your program should allow user to enter a and n. Note: For this question please make sure the code compiles and runs, it is not copied and pasted from elsewhere( I will be checking!). Thanks

Using Fermat't Little Theorem for primality test. Answer the following. Show work for credit. (a) Test...

Using Fermat't Little Theorem for primality test. Answer the following. Show work for credit. (a) Test whether each of the following numbers is primes: 101, 341, and 1105. Try at least two bases if needed, and state if the number is pseudoprime to any base you try. You may use a claculator to compute large powers. (MS Excel can be used) (b) Find a composit number that is pseudoprime to base 3 and 7 but not pseudoprime to base 2...

3A. Find the domain and range of the function. (Enter your answer using interval notation.) h(x)...

3A. Find the domain and range of the function. (Enter your answer using interval notation.) h(x) = 8 x + 7 Domain Range 3B. Determine whether y is a function of x. xy + x3 − 2y = 0 Yes, y is a function of x. No, y is not a function of x. It cannot be determined whether y is a function of x. 3C. Consider the following function. Find the composite functions f ∘ g and g ∘...

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1. Find the multiplicative inverse of 14 in GF(31) domain using Fermat’s little theorem. Show your...

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