4. Suppose the prime p = DepRob want to use the Diffie-Hellman key agreement protocol to 251 and base s = 53 are published. Alice olects a number at random: a = 63. Bob also selects a number at random: 6 = 55. What is the key that they agree on?
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- 41. Let (01, 02, 03,..., 026!} be the set of permutations of the alphabet A = {A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, W, X, Y, Z}, and consider the simple substitution cryptosystem with ok = A B C D E F G H I J K L M X MTAK ZQB NO LES N O P Q R S T U V W X Y Z IF G R V JH CY UDP W and key k. (a) Compute C = e(AUBUR NUNIV ERSIT YATMO NTGOM ERY, k). (b) Compute M = d(NIZFV SXHNF IHBKF VPXIA KIHVF GP, k).c. If k = d, then p(n) = Ⓒ(nk).
- CRYPYOGRAPHY (Suppose that Alice the encrypts same plaintext m to Bob and charles who have their RSA public keys (N,e,) and (N,C2) respectively with gcd(e 1,e 2 )=1.if you are an eves dropper observing this communication, explain how you can find mAlice wants to send Bob her account number for his dining dollars. Bob’s account number is 24. Bob wants to encrypt her account number using the RSA algorithm scheme as evil Eve wants to steal her money to buy M&Ms. Bob chooses two prime numbers, 23 and 37, and uses them to compute the number m. Bob then computes the number e and the number d by using things he knows about the number m and its relationship to e. Bob sends the number e and the number m to Alice and she uses them to encrypt her number A and obtains the number C. C is the encrypted version of her code. Alice sends the number C to Bob, and then Bob uses the number d to decrypt Alice’s message. Using this information, encrypt and decrypt the message to show that the RSA algorithm works, then in a few words explain what makes the algorithm secure if the key for encrypting is always public.The chef is getting bored with the recent lockdowns caused by the coronavirus epidemic. After some time he started learning cryptography. He is very excited to see the different types of keys used in cryptography and decides to invent a new type of key. First, Chef created a sequence of integers A1,A2,...... An that lie between 1 and M inclusive. After many sleepless nights, he decided that his key would be the LCM of this sequence, but he is not satisfied - he wants to make his key as big as possible. To do this, he wants to append exactly one more integer to the sequence. This integer must also be between 1 and M, inclusive. Help the chef to maximize the key. Find the integer that Chef should append to the sequence so that the key (LCM of the elements of the resulting sequence) is as large as possible. If there are multiple solutions, choose the smallest of the integers to connect that maximizes the LCM.Input Note: please answer this in java language only. 1 32 212 Output 1
- Hi! This is not a graded question I just need it for my reviewer. Thanks! 2.Recall that a public-key cryptosystem consists of three functions: A key generator G, an encryption function E, and a decryption function D. Any user, say Alice (A), can use the key generator to generate a key pair (PKA, SKA), in which PKA is Alice’s public key, and SKA is her secret key; she can then publish her name and public key in a directory. Subsequently, anyone who wants to send a private message x to Alice can look up PKA in the directory, compute a ciphertext y ←− E(x, PKA), and send y to Alice over an open line. Only Alice can compute x ←− D(y, SKA), because only she knows the decryption key SKA that corresponds to encryption key PKA. Note that there is no need for a key-distribution center, as there is when one is using a symmetric-key cryptosystem, but there is a need for public-key directories. a) What is a public-key certificate? What is the problem with public-key directories that certificates…It is known that the values of n, g, x, and y are n = ?, g= 32 , x = 35, and y = 24. For the value of n, it is taken from the last three digits of each student's NIM (eg. 1411078 then value n = 78). Find the secret key using the Diffie-Hellman Algorithm?Please provide Handwritten answer.
- Below is an example of key generation, encryption, and decryption using RSA. Look at the example, then fill in the blanks to indicate what each part is or answer the question. You do not have to do any math for this. Here are the words to select from to fill in the blanks. Modulus, encrypt key, decrypt key, factor, plaintext, ciphertext Public key is (23, 11) What is 23 called? Private key is (23, 13) What is 23 called? 23 can be part of the public key because it is very hard to ENCRYPT (m) = m^e mod n What is m? DECRYPT (c) = c^d mod n Search for the following. What does "mod" mean? What is c? What is 11 called? What is 13 called? what is n? large prime numbers. (generic name, not a number)answer whether it is true or false and give an explanation.You know that the truth value of the statement (p q) → r is Truth. What can you say about the truth value of the following statement: ~r→ (~ pV ~ q) OTHER False cannot be decided Truth