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If a public key has the value (e, n)-(13,77) (a) what is the totient of n,...
O-8. (15 points) Bob's simple toy RSA eryptosystem has public key kyub(n, e) (65,5), where n =p,-...
o-8. (15 points) Bob's simple toy RSA eryptosystem has public key kyub(n, e) (65,5), where n =p,-5x13-65 and e-5. I. Describe the key pair generation procedure for Bob to generate his private key kor- d. With the above given parameters, use EEA to calculate d 2. Describe RSA encryption procedure that Alice uses to encrypt her plaintext message x to its above given parameters, what will be y? ciphertext y before sending the message to Bob. Suppose Alice's message x-...
Computing RSA by hand. Let p = 13, q = 23, e = 17 be your...
Computing RSA by hand. Let p = 13, q = 23, e = 17 be your initial parameters. You may use a calculator for this problem, but you should show all intermediate results. Key generation: Compute N and Phi(N). Compute the private key k_p = d = e^-1 mod Phi(N) using the extended Euclidean algorithm. Show all intermediate results. Encryption: Encrypt the message m = 31 by applying the square and multiply algorithm (first, transform the exponent to binary representation)....
An RSA cipher has public key pq = 65 and e = 7. Translate the message YES into its numeric equiv...
An RSA cipher has public key pq = 65 and e = 7. Translate the message YES into its numeric equivalent, and use the formula C = Me (mod pq) to encrypt the message. Decrypt the ciphertext 50 16 and translate the result into letters of the alphabet to discover the message.
Using RSA cipher, public key e=3, private key d=7 Encrypt the following message “Hello there” Decrypt...
Using RSA cipher, public key e=3, private key d=7 Encrypt the following message “Hello there” Decrypt the previous message
Exercise 1 (2 pts). In an RSA cryptosystem, Bob's public key is (n = 253, e...
Exercise 1 (2 pts). In an RSA cryptosystem, Bob's public key is (n = 253, e = 3), Alice uses this public key to encrypt a message M for Bob. The resulting ciphertext is 110. Recover the message M. (You can use online modular calculators available at the Web.)
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...
just need help with part c key and public key cryptography methods 2. (a) Explain the...
just need help with part c
key and public key cryptography methods 2. (a) Explain the difference between the symmetric (b) In the famou s RSA algorithm for public key cryptography, very large prime numbers are used so as to make ult for the attackers to find from their product the prime factors. However, for an illustration of the ideas behind the RSA algorithm, you could chooses two small prime numbers 7 and 11, and a public key e 13...
Discrete Math 1. Use the primes P1 = 3 and P2 = 17 and the value...
Discrete Math 1. Use the primes P1 = 3 and P2 = 17 and the value E = 3 with the RSA algorithm to compute the values below needed to get the keys: What is the value of N? What is the value of Z? What is the value of D? (ABET 5) Using the values from the problem 9) above, show how to encrypt the message, M = 44. Do NOT simplify, just show the computation needed to encrypt...
prime factorization. Assume that zoy wants to send a message to sam. sam generates public and...
prime factorization. Assume that zoy wants to send a message to sam. sam generates public and private keys using RSA Encryption algorithm and publishes the public key (n=4717, e=19). zoy has a secret message M to send. Nobody knows the value of M. She encrypts the message M using the public key and sends the encrypted message C=1466 to sam. alex is an intruder who knows RSA and prime factorization well. She captures the encrypted message C=1466. She also has...
(8) In an RSA cryptosystem, Bob’s public key is (n = 629, e = 43). Alice...
(8) In an RSA cryptosystem, Bob’s public key is (n = 629, e = 43). Alice uses this public key to encrypt the word “MARCH” and send the ciphertext to Bob. First, she represents this word in ASCII where the capital letters A, B, C, . . . , X, Y, Z are represented by integers 65, 66, 67, . . . , 88, 89, 90 respectively. Then she encrypts the five integers that represent M, A, R, C, H...
o-8. (15 points) Bob's simple toy RSA eryptosystem has public key kyub(n, e) (65,5), where n =p,-5x13-65 and e-5. I. Describe the key pair generation procedure for Bob to generate his private key kor- d. With the above given parameters, use EEA to calculate d 2. Describe RSA encryption procedure that Alice uses to encrypt her plaintext message x to its above given parameters, what will be y? ciphertext y before sending the message to Bob. Suppose Alice's message x-...
Computing RSA by hand. Let p = 13, q = 23, e = 17 be your initial parameters. You may use a calculator for this problem, but you should show all intermediate results. Key generation: Compute N and Phi(N). Compute the private key k_p = d = e^-1 mod Phi(N) using the extended Euclidean algorithm. Show all intermediate results. Encryption: Encrypt the message m = 31 by applying the square and multiply algorithm (first, transform the exponent to binary representation)....
Exercise 1 (2 pts). In an RSA cryptosystem, Bob's public key is (n = 253, e = 3), Alice uses this public key to encrypt a message M for Bob. The resulting ciphertext is 110. Recover the message M. (You can use online modular calculators available at the Web.)
just need help with part c
key and public key cryptography methods 2. (a) Explain the difference between the symmetric (b) In the famou s RSA algorithm for public key cryptography, very large prime numbers are used so as to make ult for the attackers to find from their product the prime factors. However, for an illustration of the ideas behind the RSA algorithm, you could chooses two small prime numbers 7 and 11, and a public key e 13...
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