Public key - (3,33).
Using RSA algorithm, if p=3 and q=11, k=3, then the public key is equal to (You...
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...
p=3, q=7 Suppose that Bob wants to create an example of an RSA public-key cryptosystem by using the two primes p ??? and q ???. He chooses public encryption key e He was further supposed to compute the private decryption key d such that ed 1 mod A(pq)). However, he confuses A and and computes instead d' such that ed' =1 (mod P(pq)). (i) Prove that d' works as a decryption key, even though it is not necessarily the same...
Consider the RSA algorithm. Let the two prime numbers, p=11 and q=41. You need to derive appropriate public key (e,n) and private key (d,n). Can we pick e=5? If yes, what will be the corresponding (d,n)? Can we pick e=17? If yes, what will be the corresponding (d,n)? (Calculation Reference is given in appendix) Use e=17, how to encrypt the number 3? You do not need to provide the encrypted value.
Discrete Mathematics - RSA Algorithm and Mod These are problems concerning the RSA algorithm and Modulo. A. In RSA, suppose bob chooses p = 3 and q = 43. Determine one correct value of the public exponent e, your choice should be the smallest positive integer that is greater than 1. Justify your answer. B. For the e's value you chose above, compute the corresponding secret exponent d. Show your work. C. Compute 540Mod13 D. Compute 5-1Mod11
Question 1 (1.5 marks): Asymmetric Security (The RSA algorithm) Consider the last two pairs of two digits of your student ID. Select two prime numbers that are http://en.wikipedia.org/wiki/List of prime numbers#The first 500 prime numbers For example: Student ID 9001346 -1346 The closest prime number to 13 is itself 13 and the closest prime number to 46 is 47. a. Assuming that these two prime numbers are the variables P and Q, determine the private and public keys used by...
In a RSA cryptosystem, a participant A uses two prime numbers p = 13 and q = 17 to generate her public and private keys. If the public key of A is 35, then the private key of A is 11. Alice wants to encrypt a message to Bob by using the RSA algorithm and using keys in (A) The plaintext = “HI”. Answer: _______________
Use C++ forehand e receiver creates a public key and a secret key as follows. Generate two distinct primes, p andq. Since they can be used to generate the secret key, they must be kept hidden. Let n-pg, phi(n) ((p-1)*(q-1) Select an integer e such that gcd(e, (p-100g-1))-1. The public key is the pair (e,n). This should be distributed widely. Compute d such that d-l(mod (p-1)(q-1). This can be done using the pulverizer. The secret key is the pair (d.n)....
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...
CIPHER THAT LETS LOOK PA RSA AT USES Two PRIMES p=23 AND q=17 PUBLIC KEY e=3 A) PRIVATE DECRYPTING KEY d. FIND IN B) DESCRIBE STEPS HOW TO FIND IS c=165. PLAIN TEXT CIPHERTEXTI IF
Discrete math 1 1) In RSA algorithm, suppose the public key n = 55 (11*5) and e = 17. Please find a private key d which ed = 1 (mod 40) (40 = (11-1)(5-1)) 2) From the previous problem, suppose we have a message "one" (Letter A to Z are coded as 00 to 25), what will be the ciphered message? 3)Rewrite the classic Binary Search method as a Recursive Function (just the pseudocode.) 4)Deduce that, if A ⊆ B,...