Cryptography problem ! In an RSA system, Eve has found out that n = 6887 and o(n) = 6720. Factor n. %3D
Q: 2. Decrypt the following messages using RSA cryptosystem. c) Message : 66 , with p=7, q=17 and d=77.
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Q: Show the result of encrypting M = 4 using the public key (e; n) = (3; 77) in the RSA cryptosystem.
A: Answer:---
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A: Transcribed Image Text In an application of the RSA cryptosystem. Bob selects positive integers p,…
Q: 8. The Rabin public-key encryption scheme is similar to RSA. Research this cryptosystem and decrypt…
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Q: Suppose Alice has a public key with modulus 815153 and encryption exponent 91. Eve intercepts a…
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A: Answer has been explained below:-
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- Alice is to send a message to Bob using the RSA cryptosystem. Compute n (Bob's public key), a (Bob's private key), and the ciphertext. x (Alice) = 8430p (Bob) = 5651q (Bob) = 5557b (Bob) = 2677In the ElGamal cryptosystem, Alice and Bob use p = 17 and α = 3. Bobchooses his secret to be a = 6, so β = 15. Alice sends the ciphertext (r, t) = (7, 6). Determine the plaintext m.In the El Gamal cryptosystem, Alice and Bob use p = 17 and α = 3. Bobchooses his secret to be a = 6, so β = 15. Alice sends the ciphertext (r, t) = (7, 6). Determinethe plaintext m.
- The notation from this problem is from Understanding Cryptography by Paar and Pelzl. We conduct a known-plaintext attack against an LFSR. Through trial and error we have determined that the number of states is m=4m=4.The plaintext given by 01001011=x0x1x2x3x4x5x6x701001011=x0x1x2x3x4x5x6x7 when encrypted by the LFSR produced the ciphertext 11010110=y0y1y2y3y3y5y6y711010110=y0y1y2y3y3y5y6y7. What are the tap bits of the LFSR? Please enter your answer as unspaced binary digits (e.g. 0101 to represent p3=0,p2=1,p1=0,p0=1p3=0,p2=1,p1=0,p0=1).Set up an RSA public-key cryptosystem using primes p = 71, q = 31 and a public exponent of 191 by finding the appropriate (positive) private exponent using the extended euclidean algorithm given the table below and identities: ri = ri+1qi+1 + ri+2, si+2 = si − qi+1si+1 and ti+2 = ti − qi+1ti+1 si(a) +ti(b)=ri i ri qi si ti 0 a x 1 0 1 b 0 1 2 3 4 What is the numerical value for n? 2201 What is the numerical value for a? 2100 What is the numerical value for b? 191 What is the numerical value for z? 191 What is the numerical value for q3, S3 and wSet up an RSA public-key cryptosystem using primes p = 91, q = 13 and a public exponent of 29 by finding the appropriate (positive) private exponent using the extended euclidean algorithm given the table below and identities: what is the value of q3, s3 and W ? ri = ri+1qi+1 + ri+2, si+2 = si − qi+1si+1 and ti+2 = ti − qi+1ti+1 si(a) +ti(b)=ri i ri qi si ti 0 a x 1 0 1 b 0 1 2 3 4
- Set up an RSA public-key cryptosystem using primes p = 91, q = 73 and a public exponent of 997 by finding the appropriate (positive) private exponent using the extended euclidean algorithm given the table below and identities: ri = ri+1qi+1 + ri+2, si+2 = si − qi+1si+1 and ti+2 = ti − qi+1ti+1 si(a) +ti(b)=ri i ri qi si ti 0 a x 1 0 1 b 0 1 2 3 4 What is the numerical value for n? 6643 What is the numerical value for a? 6480 What is the numerical value for b? 997 What is the numerical value for z? 997 What is the numerical value for q3? 7 What is the numerical value for s3? -2 What is the numerical value for w? 13 is my calculated value right for the one in bold?Alice and Bob agree to use the prime p = 1373 and the base g = 2 for communications using the Elgamal public key cryptosystem. Bob chooses b = 716 as his private key, so his public key is B ≡ 2716 ≡ 469 (mod 1373). Alice encrypts the message m = 583 using the random element k = 877. What is the ciphertext (c1, c2) that Alice sends to Bob?A shortcoming of using an elliptic curve E(Fp) for cryptography is the fact that it takes two coordinates to specify a point in E(Fp). However, as discussed briefly at the end of Sect. 6.4.2, the second coordinate actually conveys very little additional information.(b) Alice and Bob decide to use the prime p = 1123 and the elliptic curveE : Y2 = X3 + 54X + 87.Bob sends Alice the x-coordinate x = 278 and the bit β = 0. What point is Bob trying to convey to Alice? What about if instead Bob had sent β = 1?
- Suppose Alice has a public key with modulus 815153 and encryption exponent 91. Eve intercepts a ciphertext 766247from Bob that was encrypted using this key. She calculates 766247⋅941^91(mod815153)=143804 and asks Alice to decrypt this message as an authentication test. Alice responds with the decrypted message 167698 Find the plaintext without factoring Alice’s modulus.Let (M, C, e, d, Ke, Ka) denote the RSA cryptosystem with public key (s, n) = (5, 26051) and private key t = 5141. (a) Compute C = e(200, (5, 26051)). (b) Compute M = d(2,5141)In the Diffie-Hellman Protocol, each participant selects a secret number x and sends the other participant αx mod q for some public number α. What would happen if the participants sent each other αx for some public number αinstead? Give at least one method Alice and Bob could use for agreeing on a key. Can Eve break your system without finding the secret numbers? Can Eve find the secret numbers? In TLS, why is there a separate Change Cipher Spec Protocol, rather than including a change_cipher_spec message in the Handshake Protocol?