Assuming RSA algorithm, Show the encryption and decryption (in detail). If 1) p = 3, q = 7, e = 5; M = 6. 2) p = 3, q = 11, d = 7; M = 12.
Q: 3. Let (M, C, e, d, K) denote the affine cipher with Σ = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12,…
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Q: RSA cryptosystem
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Q: ) Consider a simple RSA example. To generate, say, Bob's keypair, we select two "large" primes, p=17…
A: The correct solution for the above mentioned question is given in the next steps for your reference
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Q: ) For the RSA encryption system with private key 5 and public key (a, 91), find
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- 1. Perform encryption and decryption using the RSA algorithm for the following: a. p= 3;q=11;e=7;M=5 p=7;q=11;e=17;M=8 b.DONT use AI, USE pencil and paper. Consider the RSA encryption scheme with a modulus n = 101 * 113, where 101 and 113 are prime numbers. You are given two potential RSA encryption exponents, e1 = 8765 and e2 = 7653. Determine which of e1 and e2 is a valid RSA encryption exponent for the given modulus n. Show all steps and Justify your answer. Note: You can use a calculator to perform the calculations involving large numbers.4) Consider a simple RSA example. To generate, say, Bob's keypair, we select two "large" primes, p=17 and q=3. Calculate all the things needed, choosing as the encryption exponent e=3. Which one of the following is Bob's public key? Group of answer choices (11,32) (11,51) (17,32) (3, 32) (17,51) (3, 51) THE ANSWER IS (3,51) but i need help with this question number 5: 5) In the RSA example of question 4b (i), which of the following is Bob's private (secret) key? I give you the answer for number four you need to use number four to answer number 5 (11,32) (17,51) (3,51) (3,32) (17,32) (11,51)
- Alice and Bob use the Diffie-Hellman key exchange technique with a common prime q=41and a primitive root α=2 . a) If Alice has private key XA =3,what is Alice’s public key? b) If Bob has private key XB = 7 ,what is Bob’s public key? c) What is the shared secret key?Consider a very simple symmetric block encryption algorithm in which 32-bits blocks of plaintext are encrypted using a 64-bit key. Encryption is defined as C = (PK₁) K₁ where C = ciphertext, K = secret key, Ko = leftmost 64 bits of K, K₁ = rightmost 64 bits of K,+ = bitwise exclusive OR, and is addition mod 264. a. Show the decryption equation. That is, show the equation for P as a function of C, Ko, and K₁. b. Suppose and adversary has access to two sets of plaintexts and their correspond- ing ciphertexts and wishes to determine K. We have the two equations: C = (PK) K₁; C = (PK) K₁ First, derive an equation in one unknown (e.g., Ko). Is it possible to proceed fur- ther to solve for Ko?Solve
- 1) Suppose your RSA modulus is n = 221 and your encryption key e = 19, Find the decryption key d. Show your working. Is this possible for large values of n say of the order of 1024 bits? Give your reasons in one or two sentences.In this problem we explore the relationship between password length and cryptographic security. Suppose a password consists of 77 ASCII characters. You can review the ASCII characters here.. Exactly 27=12827=128 of these codes are for printable characters; we will assume every character in the password is printable. What is the size of the keyspace that consists of passwords of this form?What is the equivalent key length in bits? Assuming that you could check one password every 10−810−8 seconds, what is the worst case running time for cracking this password by brute force search (in days)? Now assume that the user used only 3131 characters from the keyboard. What is the key length in bits in this case? How many days, in the worst case, would it take to break this weaker password? You can't round to the nearest day here -- be as exact as possible. Supposing you used only 3131 characters, how long is the shortest password that achieves 252252 bits of security?Show that AES decryption is the inverse of AES encryption.