Given an integer 6, what's the RSA encrypted cipher for this integer if using the above RSA keys (encryption should use RSA public key)?
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- I need help with the following problems in cryptography. A. Encrypt the message “Freedom” using the Playfair matrix M F H I K U N O P Q Z V W X Y E L A R G D S T B C T B. Construct the Playfair matrix with the keyword “LARGEST” and encrypt the message “Freedom” again. C. Compare the results obtained in A and B. How do you account for these results?Use RSA cryptography with public key p = 11 q = 13 and e = 23 to encrypt your unique student number. You need to remove all the consecutive zeros in the middle of the student number, then divide your student number into the blocks of two-digits from left to right. Afterwards, you will need to encrypt the resulted list of numbers by RSA. For example, the student number 13060009867 becomes the list of [13, 6, 98, 67]. Then you need to directly encrypt the numbers 13, 6 , 98 and 67 by RSA.A ciphertext has been generated with an affine cipher. The most frequent letter of the ciphertext is “F”, and the second most frequent letter of the ciphertext is “C”. Break this code by figuring out the key numbers. Hint: Based on the letter frequency, E is the most frequent letter and T is the second most frequent letter. Therefore, F should be the ciphertext of E and C should be the ciphertext of T.
- In an application of the RSA cryptosystem. Bob selects positive integers p, q, e and d such that: ф% (р-1)(q-1) N = pq p and q are prime e * d mod o = 1 He publishes public key (e, N). Suppose that m is a positive integer less than N such that m # p and m # q. Select the true statement: (m^e)^d mod N = 1 (m^e)^d mod N = m (m^e)^d mod o = m %3D None of the options. (m^e)^d mod o = 1In an RSA system, the public key of a given user is e = 65, n = 2881. What is the private key of this user? Hint: First use trial-and-error to determine p and q; then use the extended Euclidean algorithm to find the multiplicative inverse of 31 modulo n. Write it understandable.Write a Python code that does the following: Generate a private and public key to use in RSA encryption Allow the user to enter the value of y and c Using RSA to recover x by decrypting y with his own private key sK Hash x using MD5 to get the key k Recover the plaintext by Decrypting c using the key k.
- I need help with the following problem: A ciphertext was generated using an affine cipher. The most frequent letter in the ciphertext is “C” and the second most frequent letter is “V”. Break the code. Assume that the most frequent letter in English is “E” and the second most frequent letter is “T”.In a public key cryptosystem using RSA algorithm, a user uses two prime numbers 11 and 17. He chooses 7 as the encryption key, e. 12. Find the decription key. HITIMI TUBIA KIBIRII Show your work here: 13. What are the private key and public key? public key {e, n}: private key {d, n): 14. What will be the cipher text, if the plain text is 15? Show your work here:Let M be the message to be sent by using RSA cryptosystem. If (n, e) is the public key and (n, d) is the private key, which of the following is the encryption function that will yield the cipher text that corresponds to M? О Е(M) — Ме mod (p - 1) (q — 1) О Е[M) — ма mod (p - 1)(q — 1) O E(M) = Me mod n О ЕМ) — Ма mod n
- 6. In a Rivest, Shamir and Adleman (RSA) cryptosystem, a particular user uses two prime numbers P and Q to generate the public key and the private key. If P is 23 and Q is 29, using RSA algorithm, find the following: a) n b) Ø(n) c) e d) dConsider a large institution that has 9970 employees. How many keys are necessary to allow any pair of employees to securely communicate using a symmetric cipher? Suppose that we instead use an asymmetric cryptographic scheme. How many keys are required in this case? One of the one-way functions used in public key cryptography is integer multiplication/factorization. Multiplying two integers is easy, but factoring is hard. The number 2963659 is the product of two primes. What is the smaller of the two primes? What is the largest of the two primes? One of the one-way functions used in public key cryptography is the discrete logarithm. Computing r = g* mod p from g, e, and pis easy. But given only r, g and p, recovering e is hard. Suppose p = 1579, g = 2 and r = 387 What is the smallest positive integer e such that r = g mod p? Use the Euclidean algorithm to compute GCD(853969545,574290294) = GCD(125665559,519562250) =The Caesar Cipher Algorithm was introduced in Week #1. Encryption is the act of encoding a message with the intent of allowing only authorized people the knowledge of how to read that message. An encrypted message can be decoded, allowing the secured content to be read after decryption. Recall that the Caesar Cipher uses alphabets as the primary source of information but shifted a certain number of letters to the left or right as a key to create the encrypted data. The Caesar Cipher is easily hacked because of the simple technique used to build the key that encrypts and decrypts the data. In this lab, the key is the number of alphabets shifted, and the direction is always toward the increasing alphabetical order. This provides 26 ways of encrypting a message and therefore makes it easier to be hacked by guessing the key within the range of 0 - 25. Write the function caesar_hack( ) that takes three parameters: a Caesar Cipher encrypted message, an alphabet list, and the original…