Choose 2 large primes, p and q. Normally, these would be randomly distributed, but for this...
Choose 2 large primes, p and q. Normally, these would be randomly distributed, but for this assignment choose primes 10^11 and 10^12. Generate the first part of your public key n = pq.
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Choose 2 large primes, p and q. Normally, these would be
randomly distributed, but for this...
Write a program in Python implement the RSA algorithm for cryptography. Set up: 1.Choose two large...
Write a program in Python implement the RSA algorithm for cryptography. Set up: 1.Choose two large primes, p and q. (There are a number of sites on-line where you can find large primes.) 2.Compute n = p * q, and Φ = (p-1)(q-1). 3.Select an integer e, with 1 < e < Φ , gcd(e, Φ) = 1. 4.Compute the integer d, 1 < d < Φ such that ed ≡ 1 (mod Φ). The numbers e and d are...
QUESTION 4 137 and 151 are assigned to p and q respectively to generate a pair...
QUESTION 4 137 and 151 are assigned to p and q respectively to generate a pair of public and private keys. What is the modulus n? What is the value of the totient function ? If 11 is assigned to public key e, what is the value of the private key d? Choose from 1854, 1880, 16691, 16699
Discrete Structures problem Suppose we use p = 7 and q = 5 to generate keys...
Discrete Structures problem
Suppose we use p = 7 and q = 5 to generate keys for RSA. a) What is n ? b) What is on)? c) One choice of e is 5. What are the other choices for e? d) Explain how you got your answer for part c. e) For the choice of e = 5 what is d? Show work. f) Using the public key (n, e), what is the message 3 encrypted as? Show work...
Suppose that Bob, very concerned with security, selects an encrypting modulus n=pq where p and q are large primes. Suppose he also chooses two encrypting exponents e1 and e2. He asks people sending hi...
Suppose that Bob, very concerned with security, selects an encrypting modulus n=pq where p and q are large primes. Suppose he also chooses two encrypting exponents e1 and e2. He asks people sending him messages to “double encrypt” their messages as follows. For each plain text (an element of Zn), he asks them to encrypt it using RSA with modulus n and encrypting exponent e1, and then encrypt the result of that using RSA with modulus n and encrypting exponent...
Write code for RSA encryption package rsa; import java.util.ArrayList; import java.util.Random; import java.util.Scanner; public class RSA...
Write code for RSA encryption package rsa; import java.util.ArrayList; import java.util.Random; import java.util.Scanner; public class RSA { private BigInteger phi; private BigInteger e; private BigInteger d; private BigInteger num; public static void main(String[] args) { Scanner keyboard = new Scanner(System.in); System.out.println("Enter the message you would like to encode, using any ASCII characters: "); String input = keyboard.nextLine(); int[] ASCIIvalues = new int[input.length()]; for (int i = 0; i < input.length(); i++) { ASCIIvalues[i] = input.charAt(i); } String ASCIInumbers...
How large of a sample is needed to estimate the mean of a normally distributed population...
How large of a sample is needed to estimate the mean of a normally distributed population of each of the following? a. ME=88; σ=49; α=0.10 b. ME=16; σ=49; α=0.10 c. Compare and comment on your answers to parts (a) and (b). a. n=__ (Round up to the nearest integer.) b. n=__ (Round up to the nearest integer.) c. Choose the correct answer below. A. Since the standard deviation and significance level are the same in (a) and (b), the required...
Exam grades: Scores on a statistics final in a large class were normally distributed with a...
Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 70 and a standard deviation of 11. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least four decimal places. (a) What proportion of the scores were above 85? (b) What proportion of the scores were below 55? (c) What is the probability that a randomly chosen score is between 60 and 80? Part: 0/3 Part 1...
Suppose we use p = 7 and q = 5 to generate keys for RSA. a)...
Suppose we use p = 7 and q = 5 to generate keys for RSA. a) What is n ? ___________________ b) What is φ(n) ? _______________________ c) One choice of e is 5. What are the other choices for e? _________________________________________________________________________________ d) Explain how you got your answer for part c. e) For the choice of e = 5 what is d? _________________________ Show work. f) Using the public key (n, e), what is the message 3 encrypted as?...
How large of a sample is needed to estimate the mean of a normally distributed population of each of the following? a....
How large of a sample is needed to estimate the mean of a normally distributed population of each of the following? a. ME=88; σ=49; α=0.10 b. ME=16; σ=49; α=0.10 c. Compare and comment on your answers to parts (a) and (b). a. n=__ (Round up to the nearest integer.) b. n=__ (Round up to the nearest integer.) c. Choose the correct answer below. A. Since the standard deviation and significance level are the same in (a) and (b), the required...
In a public key encryption system, the values p = 7, q = 11, s =...
In a public key encryption system, the values p = 7, q = 11, s = 53 are selected. A numerical message x is then encrypted using the function y=x' mod pg. What was the original message x if the received message is y = 67? You may leave your answer in terms of an exponent. Explain why it is necessary in public key encryption to choose s to be relatively prime to (p-1)(9 – 1).
QUESTION 4 137 and 151 are assigned to p and q respectively to generate a pair of public and private keys. What is the modulus n? What is the value of the totient function ? If 11 is assigned to public key e, what is the value of the private key d? Choose from 1854, 1880, 16691, 16699
Discrete Structures problem
Suppose we use p = 7 and q = 5 to generate keys for RSA. a) What is n ? b) What is on)? c) One choice of e is 5. What are the other choices for e? d) Explain how you got your answer for part c. e) For the choice of e = 5 what is d? Show work. f) Using the public key (n, e), what is the message 3 encrypted as? Show work...
Exam grades: Scores on a statistics final in a large class were normally distributed with a mean of 70 and a standard deviation of 11. Use the TI-84 PLUS calculator to answer the following. Round the answers to at least four decimal places. (a) What proportion of the scores were above 85? (b) What proportion of the scores were below 55? (c) What is the probability that a randomly chosen score is between 60 and 80? Part: 0/3 Part 1...
In a public key encryption system, the values p = 7, q = 11, s = 53 are selected. A numerical message x is then encrypted using the function y=x' mod pg. What was the original message x if the received message is y = 67? You may leave your answer in terms of an exponent. Explain why it is necessary in public key encryption to choose s to be relatively prime to (p-1)(9 – 1).
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